Existence of solutions to first-order periodic boundary value problems. (English) Zbl 1109.34016

The paper deals with the question on the existence of a solution to the periodic problem for nonlinear differential systems. The assumptions of the main result (namely Theorem 2.2) guarantee a priori estimates on possible solutions to a certain family of boundary value problems, which yields the existence of a solution of the problem considered.


34B15 Nonlinear boundary value problems for ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
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