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On the solvability of boundary value problems for nonlinear differential systems

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Abstract

We obtain in a sense optimal tests for the solvability of the nonlinear boundary value problem

$$ \frac{{dx}} {{dt}} = f(t,x),x(a) = h(x,(b)), $$

where the function f: [a, b] × ℝn → ℝn belongs to the Carathéodory class and the function h: ℝn → ℝn is continuous.

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Authors and Affiliations

  1. Mathematical Institute, Tbilisi, Georgia

    N. L. Partsvaniya

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  1. N. L. Partsvaniya
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Original Russian Text © N.L. Partsvaniya, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, No. 2, pp. 211–216.

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Partsvaniya, N.L. On the solvability of boundary value problems for nonlinear differential systems. Diff Equat 44, 219–225 (2008). https://doi.org/10.1134/S0012266108020092

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  • DOI: https://doi.org/10.1134/S0012266108020092

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