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

Tisdell, Christopher C.

J. Math. Anal. Appl. 323, No. 2, 1325-1332 (2006).

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.

Reviewer: Jiří Šremr (Brno)

MSC:

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

Keywords:

existence of solutions; periodic problem; differential equations; fixed-point method

References:

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