Existence of Periodic Solutions in Impulsive Differential Equations

Existence of Periodic Solutions in Impulsive Differential Equations

Year:    2021

Author:    Fangfang Jiang

Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 53–70

Abstract

In this paper, we are concerned with the problem of existence of periodic solutions for a class of second order impulsive differential equations. By Poincaré-Bohl theorem, we give several criteria to guarantee that the impulsive differential equation has periodic solutions under assumptions that the nonlinear term satisfies the linear growth conditions. Two specific examples are presented to illustrate the obtained results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2021.53

Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 1 : pp. 53–70

Published online:    2021-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Impulse Poincaré-Bohl theorem Periodic solution Existence.

Author Details

Fangfang Jiang