2017
Том 69
№ 7

All Issues

Conditions for the existence of bounded solutions of one class of nonlinear differential equations

Hrod I. M.

Full text (.pdf)


Abstract

For systems of nonlinear differential equations (dx/dt) = A(x)x + f(t) in a Banach space, we establish sufficient conditions for the existence of their solutions bounded on the entire real axis R.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 3, pp 357-367.

Citation Example: Hrod I. M. Conditions for the existence of bounded solutions of one class of nonlinear differential equations // Ukr. Mat. Zh. - 2006. - 58, № 3. - pp. 317–325.

Full text