2017
Том 69
№ 6

All Issues

Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations

Slyusarchuk V. Yu.

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Abstract

The conditions for the existence of solutions of nonlinear differential equations in a space of functions bounded on the axis are established by using local linear approximations of these equations.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1809-1829.

Citation Example: Slyusarchuk V. Yu. Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1541-1556.

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