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Solvability of a Class of Periodic Problems on the Plane

Solvability of a Class of Periodic Problems on the Plane We study the existence of periodic solutions for a class of systems of first-order nonlinearordinary differential equations on the plane. Using an a priori estimate of periodic solutions, weestablish the homotopy invariance of the solvability property of the periodic problem, give adescription of the homotopy classes, and prove a theorem about a necessary and sufficientcondition for the solvability of the periodic problem. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Solvability of a Class of Periodic Problems on the Plane

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References (8)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2021
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266121020087
Publisher site
See Article on Publisher Site

Abstract

We study the existence of periodic solutions for a class of systems of first-order nonlinearordinary differential equations on the plane. Using an a priori estimate of periodic solutions, weestablish the homotopy invariance of the solvability property of the periodic problem, give adescription of the homotopy classes, and prove a theorem about a necessary and sufficientcondition for the solvability of the periodic problem.

Journal

Differential EquationsSpringer Journals

Published: Mar 19, 2021

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