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On the unicity of solutions for the differential equationx (n)(t)=f(t, x)

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Abstract

An improvement of the uniqueness theorem of Wintner for the differential equationx (n)(t)=f(t, x) is given.

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References

  1. Athanassov Z.S.,Uniqueness and convergence of succesive approximations for ordinary differential equations, Math. Japonica35 (1990) 351–367.

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  2. Conti R., Sansone G.,Equazioni differenziali non lineari, Monografie Matematiche del C.N.R., Roma 1956.

  3. Wintner A.,On the local uniqueness of the initial value problem for the differential equation d nx/dtn=f(t, x), Boll. Un. Mat. Ital.11 (1956), 496–498.

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  1. Institut Non-Linéaire de Nice, Parc Valrose, F 06034, Nice, France

    Adrian Constantin

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  1. Adrian Constantin
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Constantin, A. On the unicity of solutions for the differential equationx (n)(t)=f(t, x). Rend. Circ. Mat. Palermo 42, 59–64 (1993). https://doi.org/10.1007/BF02845110

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  • DOI: https://doi.org/10.1007/BF02845110

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