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Oscillation Theory of Two-Term Differential Equations

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References

  1. Ahmad, Sh. and Lazer, A. C., On nth order Sturmian theory, J. Differential Equations 35 (1980), 87–112.

    Article  MathSciNet  MATH  Google Scholar 

  2. Ahmad, Sh. and Lazer, A. C., On an extension of the Sturm comparison Theorem, Siam J. Math. Anal., 12 (1981), 1–9.

    MathSciNet  Google Scholar 

  3. Ananeva, G. B. and Balaganski, V. I., Oscillation of the solutions of certain differential equations of higher order, Uspekhi Mat. Nauk, 14(1959), 135140.

    Google Scholar 

  4. Atkinson, K. and Sharma, A., A partial characterization of poised Hermite-Birkhoff interpolation problems, SIAM J. Numer. Anal., 6 (1969), 230–235.

    Article  MathSciNet  MATH  Google Scholar 

  5. Bartusek, M., Properties of oscillating solutions of ordinary differential inequalities and equations, Differential Equations, 23 (1987), 129–132.

    MathSciNet  Google Scholar 

  6. Bartusek, M., On oscillatory solutions of differential inequalities, Czechoslovak Math. J., 42 (117), 1992, 45–52.

    MathSciNet  MATH  Google Scholar 

  7. Bates, P. W. and Gustafson, G. B., Green’s function inequalities for two-point boundary value problems, Pacific J. Math., 59 (1975), 327–343.

    MathSciNet  MATH  Google Scholar 

  8. Bochenek, J., Nodes of the eigenfunctions for a certain class of ordinary differential equations of the fourth order, Ann. Polon. Math. 29 (1975), 349–356.

    MathSciNet  MATH  Google Scholar 

  9. Bogar, C. A., Properties of two point boundary value functions, Proc. Amer. Math. Soc., 23 (1969), 335–339.

    Article  MathSciNet  MATH  Google Scholar 

  10. Butler, G. I. and Erbe, L. H., Nonlinear integral Riccati systems and comparison theorems for linear differential equations, SIAM J. Math. Anal., 14 (1983), 463–473.

    MathSciNet  MATH  Google Scholar 

  11. Butler, G. I. and Erbe, L. H., Integral comparison theorems and extremal points for linear differential equations, J. Diff. Equa., 47 (1983), 214–226.

    Article  MathSciNet  MATH  Google Scholar 

  12. Cecchi, M., Marini, M. and Villari, G., On a cyclic disconjugate operator associated to linear differential equations, Ann. Mat. Pura Appl. IV, 170 (1996), 297–309.

    Article  MathSciNet  Google Scholar 

  13. Chanturiya, T. A., Comparison theorems for linear differential equations, Izv. Akad. Nauk. SSSR, Ser. Mat., 40(1976), 1128–1142 = Math. USSR Izvestija, 10 (1976), 1075–1088.

    Google Scholar 

  14. Chanturiya, T. A., Some comparison theorems for ordinary differential equations of higher order, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 25 (1977), 749–756.

    MathSciNet  MATH  Google Scholar 

  15. Chanturiya, T. A., On some asymptotic properties of solutions of linear ordinary differential equations, Bull. Acad. Polon. Sci., Ser. Sci. Math.Astronom. Phys. 25 (1977), 757–762.

    MathSciNet  MATH  Google Scholar 

  16. Chanturiya, T. A., Integral criteria for the oscillation of solutions of high order differential equations, Differential equations 16 (1980), 297–306.

    MATH  Google Scholar 

  17. Chanturiya, T. A., On the oscillation of solutions of higher order linear differential equations, Reports of Seminar of Tbilisi State University, Vekua Inst. of Appl. Math., 16 (1982), 1–74.

    Google Scholar 

  18. Chanturiya, T. A., Asymptotic properties of solutions of certain classes of nonautonomous ordinary differential equations, Math. Zamet. 32(1982), 772–778 = Mathematical Notes, 32 (1983), 772–778.

    Article  Google Scholar 

  19. Coppel, W. A., “Disconjugact’”, Lecture Notes in Mathematics, Vol 220, Springer Verlag, Berlin, 1971.

    Google Scholar 

  20. Dolan, J. M., On the relationship between the oscillatory behaviour of a linear third order differential equation and its adjoint, J. Diff. Equ., 7 (1970), 367–388.

    Article  MathSciNet  MATH  Google Scholar 

  21. Elias, U., The extremal solutions of the equation Ly+p(x)y = 0, J. Math. Anal. Appl., 50 (1975), 447–457.

    Article  MathSciNet  MATH  Google Scholar 

  22. Elias, U., Eigenvalue problems for the equation Ly + Xpy = 0, J. Differential Equations 29 (1978), 28–57.

    Article  MathSciNet  Google Scholar 

  23. Elias, U., Oscillatory solutions and extremal points for a linear differential equation, Arch. Rational Mech. Anal., 71 (1979), 177–198.

    Article  MATH  Google Scholar 

  24. Elias, U., Necessary conditions and sufficient conditions for disfocality and disconjugacy of a differential equation, Pacific J. Math., 81 (1979), 379–397.

    MathSciNet  MATH  Google Scholar 

  25. Elias, U., A classification of the solutions of a differential equation according to their asymptotic behaviour, Proc. Roy. Soc. Edinburgh Sect. A 83 (1979), 25–38.

    Article  MathSciNet  MATH  Google Scholar 

  26. Elias, U., A classification of the solutions of a differential equation according to their behaviour at infinity, II, Proc. Roy. Soc. Edinburgh Sect. A, 100 (1985), 53–66.

    Article  MathSciNet  MATH  Google Scholar 

  27. Elias, U., Generalizations of an inequality of Kiguradze, J. Math. Anal.Appl., 97 (1983), 277–290.

    Article  MathSciNet  MATH  Google Scholar 

  28. Elias, U., Comparison theorems for disfocality and disconjugacy of differential equations, SIAM J. Math. Anal., 5 (1984), 922–931.

    MathSciNet  Google Scholar 

  29. Elias, U., Minors of the Wronskian of the differential equation L n y + p(x)y = 0, Proc. Roy. Soc. Edinburgh Sect. A 106 (1987), 342–359.

    Article  MathSciNet  Google Scholar 

  30. Elias, U., Minors of the Wronskian of the differential equation Lny + p(x)y = 0, II. Dominance of solutions. Proc. Roy. Soc. Edinburgh Sect. A 108 (1988), 229–239.

    Article  MathSciNet  MATH  Google Scholar 

  31. Elias, U., Zeros of solutions and of Wronskians for the differential equation Lny + p(x)y = 0, Trans. Amer. Math. Soc., 324 (1991), 27–40.

    MathSciNet  MATH  Google Scholar 

  32. Eloe, P. and Ridenhour, J., Sign properties of Green’s functions for a family of two point boundary value problem, Proc. Amer. Math. Soc., to appear.

    Google Scholar 

  33. Erbe, L. H., generalized disconjugacy and comparison theorems, J. Approx. Th. 59 (1989), 107–115.

    Article  MATH  Google Scholar 

  34. Etgen, G. J., Jones, G. D. and Taylor, W. E., Structure of the solution space of certain linear equations, J. Diff. Equ., 59 (1985), 229–242.

    Article  MathSciNet  MATH  Google Scholar 

  35. Etgen, G. J., Jones, G. D. and Taylor, W. E., On the factorization of ordinary differential operators, Trans. Amer. Math. Soc., 297 (1986), 717–728.

    Article  MathSciNet  MATH  Google Scholar 

  36. Etgen, G. J. and Taylor, W. E., The essential uniqueness of bounded nonoscillatory solutions of certain even order differential equations, Pacific J. Math, 68 (1977), 339–346.

    MathSciNet  MATH  Google Scholar 

  37. Fedorjuk, M. V., Asymptotic properties of the solutions of ordinary n-thorder linear differential equations, Diff. Equ., 2 (1966), 492–507.

    MathSciNet  Google Scholar 

  38. Fite, W. B., Concerning the zeros of the solutions of certain differential equations. Trans. Amer. Math. Soc., 19 (1918), 341–352.

    Article  MathSciNet  Google Scholar 

  39. Foster, K. E. and Grimmer, R. C., Nonoscillatory solutions of higher order differential equations, J. Math. Anal. Appl., 71(1979, 1–17. Errata:

    Google Scholar 

  40. Friedland, S., Nonoscillation, disconjugacy and integral inequalities, Memoirs Amer. Math. Soc., No. 176, 7 (1976).

    Google Scholar 

  41. Fusco, G. and Oliva, W. M., Jacobi matrices and transversality, Proc. Royal Soc. Edinburgh, 109A (1988), 231–243.

    Article  MathSciNet  MATH  Google Scholar 

  42. Fusco, G. and Oliva, W. M., Transversality between invariant manifolds of periodic orbits for a class of monotone dynamical systems, J. Dynamics and Differential Equations, 2 (1990), 1–17.

    Article  MathSciNet  MATH  Google Scholar 

  43. Gantmacher, F. R., Sur les noyaux de Kellogg non-symetriques, C. R. Acad. Sci. USSR 10 (1936), 3–5.

    Google Scholar 

  44. Gantmacher, F. R. and Krein, M. G., “Oszillationmatrizen, Oszillationkerne und kleine Schwingungen mechanischer Systeme”, Akademie-Verlag, Berlin, 1960.

    Google Scholar 

  45. Gaudenzi, M., On an eigenvalue problem of Ahmad-Lazer for ordinary differential equations, Proc. Amer. Math. Soc., 99 (1987), 237–243.

    MathSciNet  MATH  Google Scholar 

  46. Gaudenzi, M., On the Sturm-Picone theorem for nth order differential equations, SIAM J. Math. Anal. 21 (1990), 980–994.

    MathSciNet  MATH  Google Scholar 

  47. Gaudenzi, M., On the comparison of the mth eigenvalue for the equation Ly + Aq(x)y = 0, Results in Mathematics, 20 (1991), 481–498.

    MathSciNet  MATH  Google Scholar 

  48. Gaudenzi, M., Comparison and integral comparison theorems for linear differential equations, J. Diff. Equ., 114 (1194), 24–56.

    Article  MathSciNet  Google Scholar 

  49. Golubitsky, M. and Schaeffer, D., “Singularities and groups in bifurcation theory”, I, Springer Verlag, New York, Heidelberg, Berlin, 1985.

    MATH  Google Scholar 

  50. Granata, A., Singular Cauchy problems and asymptotic behaviour for a class of nth order differential equations, Funkcial. Ekvac., 20(1977), 193212.

    Google Scholar 

  51. Gregus, M., “Third order linear differential equations”, Reidel, Dordrecht,1987.

    Google Scholar 

  52. Gustafson, G. B., The nonequivalence of oscillation and nondisconjugacy, Proc. Amer. Math. Soc., 25 (1970), 254–260.

    MathSciNet  MATH  Google Scholar 

  53. Gustafson, G. B., Eventual disconjugacy of selfadjoint fourth order linear differential equations, Proc. Amer. Math. Soc., 35 (1972), 187–192.

    Article  MathSciNet  MATH  Google Scholar 

  54. Gustafson, G. and Ridenhour, J., Solution branching in linear differential equations, J. Diff. Equations 101 (1973), 373–387.

    Article  MathSciNet  Google Scholar 

  55. Hadass, R., On the zeros of the solutions of the differential equation y 92 (z) -)- p(z)y(z) = 0, Pacific J. Math., 31 (1969), 33–46.

    Google Scholar 

  56. Hanan, M., Oscillation criteria for third order linear differential equation, Pacific J. Math. 11 (1961), 919–944.

    MathSciNet  MATH  Google Scholar 

  57. Hankerson, D. and Peterson, A., On a theorem of Elias for difference equations, in “Nonlinear Analysis and Applications”, Edited by V. Lakshmikantham, Marcel Dekker, NY, 1987.

    Google Scholar 

  58. Hankerson, D. and Peterson, A., A classification of the solutions of a difference equation according to their behaviour at infinity, J. Math. Anal. Appl., 136 (1988), 249–266.

    Article  MathSciNet  MATH  Google Scholar 

  59. Hartman, P., Unrestricted n-parameter families, Rend. Circ. Mat. Palermo 7 (1958), 132–142.

    Article  MathSciNet  Google Scholar 

  60. Hartman, P., On disconjugacy criteria, Proc. Amer. Math. Soc. 24 (1970), 374–381.

    MathSciNet  MATH  Google Scholar 

  61. Hartman, P., “Ordinary differential equations”, John Wiley and Sons, Inc., New York, 1964, Phillip Hartman, Baltimore, 1973.

    Google Scholar 

  62. Hille, E., Nonoscillation theorems, Trans. Amer. Math. Soc., 64 (1948), 234–252.

    Article  MathSciNet  MATH  Google Scholar 

  63. Hinton, D., Disconjugate properties of a system of differential equations, J. Diff. Equ., 2 (1962), 420–437.

    Article  MathSciNet  Google Scholar 

  64. Inozemtseva, I. N., The existence and uniqueness of the solution of boundary value problems for ordinary differential equations, Diff. Equ., 4 (1961), 130–134.

    Google Scholar 

  65. Jones, G. D., Oscillation properties of y(n) + py = 0, Proc. Amer. Math. Soc., 78 (1980), 239–244.

    MathSciNet  MATH  Google Scholar 

  66. Jones, G. D., An ordering of oscillation types for y(n) + py = 0, SIAM J. Math. Anal. 12 (1981), 72–77.

    MATH  Google Scholar 

  67. Jones, G. D., Growth properties of solutions of a linear differential equation, Proc. Roy. Soc. Edinburgh, Sect. A 104 (1986), 127–136.

    Article  MathSciNet  MATH  Google Scholar 

  68. Jones, G. D. and Keener, M., Properties of minors of the Wronskian for solutions of Lny+p(x)y = 0 as related to (k, n—k) disfocality, J. Approx. Theory, 59 (1989), 87–106.

    Article  MathSciNet  MATH  Google Scholar 

  69. Joseph, D. D., “Stability of fluid motions”, I, Springer Verlag, Berlin, Heidelberg, New York, 1976.

    Google Scholar 

  70. Karlin, S. “Total positivity”, Stanford University Press, 1968.

    Google Scholar 

  71. Karlin, S., Total positivity, interpolation by splines and Green’s functions of differential operators, J. Approximation Theory 4 (1971), 91–112.

    Article  MathSciNet  MATH  Google Scholar 

  72. Kartsatos, A., On nth order differential inequalities, J. Math. Anal.Appl., 52 (1957), 1–7.

    Article  MathSciNet  Google Scholar 

  73. Kiguradze, I. T., Oscillation properties of solutions of certain ordinary differential equations, Soviet Math. Dokl. 3 (1962), 649–652.

    MATH  Google Scholar 

  74. Kiguradze, I. T., The problem of oscillation of solutions of nonlinear differential equations, Diff. Equ., 1 (1967), 773–782.

    Google Scholar 

  75. Kiguradze, I. T., “Some singular boundary value problems for ordinary differential equations”, Tbilisi University Press, Tbilisi, 1975.

    Google Scholar 

  76. Kiguradze, I. T. and Chanturia, T. A., “Asymptotic properties of solutions of nonautonomous ordinary differential equations”, Nauka, Moscow, 1985, Translation: Kluwer Publishers, Dordrecht, 1993.

    Google Scholar 

  77. Kim, W. J., On the zeros of solutions of y(n) + py = 0, J. Math. Anal. Appl., 25 (1969), 189–208.

    Article  MathSciNet  MATH  Google Scholar 

  78. Kim, W. J., Disfocality and nonoscillatory solutions of n-th order differ- ential equations, Rocky Mountain J. Math., 11 (1981), 177–194.

    MATH  Google Scholar 

  79. Kim, W. J., Properties of disconjugate differential operators, J. Diff. Equ., 43 (1982), 369–398.

    Article  MATH  Google Scholar 

  80. Kim, W. J., Comparison theorems of Hille-Wintner type for disconjugate linear differential equations, J. Math. Anal. Appl., 105 (1985), 187–198.

    Article  MathSciNet  MATH  Google Scholar 

  81. Kim, W. J., Generalized comparison theorems for disfocality types of the equation Lny + py = 0, J. Math. Anal. Appl., 109 (1985), 182–193.

    Article  MathSciNet  MATH  Google Scholar 

  82. Kim, W. J., Oscillation and nonoscillation criteria for nth order linear differential equations, J. Diff. Equ., 64 (1986), 317–335.

    Article  MATH  Google Scholar 

  83. Kim, W. J., Two-point boundary value problems and extremal points for linear differential equations, J. Math. Anal. Appl., 175 (1993), 342–359.

    Article  MATH  Google Scholar 

  84. Kitamura, Y. and Kusano, T., Nonlinear oscillation of higher order functional differential equations with deviating arguments, J. Math. Anal. Appl. 77 (1980), 100–119.

    Article  MathSciNet  MATH  Google Scholar 

  85. Kneser, A., Untersuchungen uber die reellen Nullstellen der Integrale linearer Differentialgleichunge, Math. Ann., 42 (1893), 409–435.

    Article  MathSciNet  MATH  Google Scholar 

  86. Kondratev, V. A., The zeros of solutions of the equation y(n) d-p(x)y = 0, Dokl. Akad. Nauk. SSSR, 120 (1958), 1180–1182.

    MathSciNet  Google Scholar 

  87. Kondratev, V. A., Oscillatory properties of solutions of the equation y(n)+ p(x)y = 0, Trudy Moskov Math. Obsc., 10 (1961), 419–436.

    Google Scholar 

  88. Krein, M. G., Sur les fonctions de Green non-symetriques oscillatories des operatuers differentials ordinaires, Comptes Rendus (Dokl.) de l’Academie des sciences de l’URSS 26 (1939), 643.

    MathSciNet  Google Scholar 

  89. Kusano, T., Naito, M. and Tanaka, K., Oscillatory and asymptotic behaviour of solutions of a class of linear ordinary differential equations, Proc. Roy. Soc. Edinburgh, 90A (1981), 25–40.

    Article  MathSciNet  MATH  Google Scholar 

  90. Kusano, T. and Naito, M., Oscillation criteria for general linear ordinary differential equations, Pacific J. Math., 92 (1981), 345–356.

    MathSciNet  MATH  Google Scholar 

  91. Leighton, W. and Nehari, Z., On the oscillation of solutions of selfadjoint linear differential equations of the fourth order, Trans. Amer. Math. Soc. 89 (1958), 325–377.

    Article  MathSciNet  Google Scholar 

  92. Levin, A. Yu., Some problems bearing on the oscillation of solutions of linear differential equations, Soviet Math. Dokl., 4 (1963), 121–124.

    MATH  Google Scholar 

  93. Levin, A. Yu., A Fredholm equation with a smooth kernel and boundary-value problems for a linear differential equation, Soviet Math. Dokl., 5 (1964), 1415–1419.

    MATH  Google Scholar 

  94. Levin, A. Yu., Distribution of the zeros of solutions of a linear differential equation, Soviet Math. Dokl., 5 (1964), 818–821.

    MATH  Google Scholar 

  95. Levin, A. Yu., A bound for a function with monotonely distributed zeros of successive derivatives, Math. Sb. 64 (1964), 396–409.

    Google Scholar 

  96. pn (i)x = 0, Russian Math. Surveys 24 (1969), 43–99.

    Article  Google Scholar 

  97. Lorentz, G. G., Jetter, K. and Riemenschneider, S. D., Birkhoff Interpolation, Encyclopedia of Mathematics and its Applications, Vol. 19, Addison-Wesley Publishing, Reading, MA, 1983.

    Google Scholar 

  98. Lovelady, D. L., An asymptotic analysis of an odd order linear differential equation, Pacific J. Math., 57 (1975), 475–480.

    MathSciNet  MATH  Google Scholar 

  99. Lovelady, D. L., Oscillation and a class of odd order linear differential equations, Hiroshima J. Math., 5 (1975), 371–383.

    MathSciNet  MATH  Google Scholar 

  100. Lovelady, D. L., An asymptotic analysis of an even order linear differential equation, Funkcial. Eqvac. 19 (1976), 133–138.

    MathSciNet  MATH  Google Scholar 

  101. Lovelady, D. L., Oscillation of even order linear differential equations, Rocky Mount. J. Math., 6 (1976), 299–304.

    MathSciNet  MATH  Google Scholar 

  102. MacDuffee, “Theory of equations”, Wiley and Sons, New York, 1959.

    Google Scholar 

  103. Mallet-Paret, J. and Smith, H., The Poincare-Bendixson theorem for monotone cyclic feedback systems, J. Dynamics and Differential Equations 2 (1990), 367–421.

    Article  MathSciNet  MATH  Google Scholar 

  104. Mammana, G., Decomposizione delle espressioni differenziale lineari ornogenee in prodotti di fattori simbolici e applicazione relativa allo studio delle equazioni differenziali lineari, Math. Z. 33 (1931), 186–231.

    Article  MathSciNet  Google Scholar 

  105. Mikusinski, J., On Fite’s oscillation theorems, Colloq. Math., 2 (1949), 34–39.

    MathSciNet  MATH  Google Scholar 

  106. Nehari, Z., Disconjugate linear differential operators, Trans. Amer. Math. Soc., 129 (1967), 500–516.

    Article  MathSciNet  MATH  Google Scholar 

  107. Nehari, Z., Nonlinear techniques for linear oscillation problems, Trans. Amer. Math. Soc., 210 (1975), 387–406.

    Article  MathSciNet  MATH  Google Scholar 

  108. Nehari, Z., Green’s function and disconjugacy, Arch. Rat. Mech. Anal., 62 (1976), 53–76.

    MATH  Google Scholar 

  109. Neuman, F., Geometric approach to linear differential equations of the nth order, Rendiconti di Mat., 5(1972)579–602.

    Google Scholar 

  110. Neuman, F., “Global properties of linear differential equations”, Kluwer Academic Publishers, Dordrecht, 1991.

    MATH  Google Scholar 

  111. Oliva, W. M., Monotone systems and transversality, Int’l Conference on Differential Equations (Eds. C. Perello, C. Simo, J. Sola-Morales), 208214, World Scientific, Singapore, 1993.

    Google Scholar 

  112. Peterson, A. C., On the sign of Green’s function beyond the interval of disconjugacy, Rocky Mountain J. Math., 3 (1973), 41–51.

    MATH  Google Scholar 

  113. Pólya, G., On the mean value theorem corresponding to a given linear homogeneous differential equation, Trans. Amer. Math. Soc., 24 (1924), 312–324.

    Article  MATH  Google Scholar 

  114. Sherman, T. L., Conjugate points and simple zeros for a linear differential equation, Trans. Amer. Math. Soc., 146 (1969), 397–411.

    Article  Google Scholar 

  115. Smillie, J., Competitive and cooperative tridiagonal systems of differential equations, SIAM J. Math. Anal. 15 (1984), 530–534.

    MathSciNet  MATH  Google Scholar 

  116. Svec, M., Sur une properiete des integrales de l’equation y(n) Q(x)y = 0, n = 3, 4. Czechoslovak Math J. 7 (1957), 450–462.

    MathSciNet  Google Scholar 

  117. Svec, M., Some properties of nonlinear differential equations with quasi-derivatives, in “Equadiff 82”, Lecture Notes in Mathematics, Vol. 1017,597–607, Springer-Verlag, Berlin 1983.

    Google Scholar 

  118. Swanson, C. A., Comparison and oscillatory theory of linear differential equations, Academic Press, New York, 1968.

    Google Scholar 

  119. Trench, W. F., Canonical forms and principal systems for general discon- jugate equation, Trans. Amer. Math. Soc., 189 (1974), 319–327.

    Article  MATH  Google Scholar 

  120. Trench, W. F., Oscillation properties of perturbed disconjugate equations, Proc. Amer. Math. Soc., 52 (1975), 147–155.

    Article  MathSciNet  MATH  Google Scholar 

  121. Trench, W. F., An oscillation condition for differential equations of arbitrary order, Proc. Amer. Math. Soc., 82 (1981), 548–552.

    Article  MathSciNet  MATH  Google Scholar 

  122. Willet, D., Generalized de la Vallée Poussin disconjugacy tests for linear differential equations, Canadian Math. Bull. 14 (1971), 419–428.

    Article  Google Scholar 

  123. Willet, D., Asymptotic behaviour of disconjugate nth order differential equations, Canad. J. Math., 23 (1971), 293–314.

    Google Scholar 

  124. Willet, D., Disconjugacy tests for singular linear differential equations, SIAM J. Math. Anal. 2(1971), 536–545 and 3 (1972), 559.

    Article  Google Scholar 

  125. Wintner, A., On the comparison theorem of Kneser-Hille, Math. Scand. 5 (1957), 255–260.

    MathSciNet  MATH  Google Scholar 

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Elias, U. (1997). References. In: Oscillation Theory of Two-Term Differential Equations. Mathematics and Its Applications, vol 396. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2517-0_15

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