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Representation of the solution to a characteristic problem for a system of nonlinear higher-order differential equations as a wiener integral

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Literature cited

  1. P. P. Kozak, “Representing multiple Wiener integrals in a space of continuous functions of several variables by means of nonlinear change of variables,” Ukr. Mat. Zh.,30, No. 6, 738–748 (1978).

    Google Scholar 

  2. R. H. Cameron and W. T. Martin, “The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals,” Ann. Math.,48, No. 2, 385–392 (1947).

    Google Scholar 

  3. J. Yeh, “Orthogonal development of functionals and related theorems in the Wiener space of functions of two variables,” Pac. J. Math.,13, No.4, 1427–1437 (1963).

    Google Scholar 

  4. T. Tobias, “The mean square approximation of linear functionals,” Izv. Akad. Nauk ÉstSSR, Ser. Fiz. Mat. Tekh. Nauk, No. 1, 70–82 (1964).

    Google Scholar 

  5. I. M., Koval'chik, “A multiple continuous integral in a space of functions of two variables,” Dopov. Akad. Nauk Ukr. RSR, Ser. A, No. 7, 604–608 (1972).

    Google Scholar 

  6. R. H. Cameron and W. T. Martin, “Nonlinear integral equations,” Ann. Math.,51, No. 3, 629–642 (1950).

    Google Scholar 

  7. R. H. Cameron and J. M. Shapiro, “Nonlinear integral equations,” Ann. Math.,62, No. 3, 472–497 (1955).

    Google Scholar 

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Authors and Affiliations

  1. Lvov Polytechnic Institute, USSR

    P. P. Kozak

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  1. P. P. Kozak
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 1, pp. 13–22, January–February, 1979.

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Kozak, P.P. Representation of the solution to a characteristic problem for a system of nonlinear higher-order differential equations as a wiener integral. Ukr Math J 31, 8–16 (1979). https://doi.org/10.1007/BF01086436

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  • DOI: https://doi.org/10.1007/BF01086436

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