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Volume 3, Issue 1
Existence of Periodic Solutions in Impulsive Differential Equations

Fangfang Jiang

DOI: 10.12150/jnma.2021.53

J. Nonl. Mod. Anal., 3 (2021), pp. 53-70.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Impulse, Poincaré-Bohl theorem, Periodic solution, Existence.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-3-53, author = {Jiang , Fangfang}, title = {Existence of Periodic Solutions in Impulsive Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.53}, url = {http://global-sci.org/intro/article_detail/jnma/18777.html} }
TY - JOUR T1 - Existence of Periodic Solutions in Impulsive Differential Equations AU - Jiang , Fangfang JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 53 EP - 70 PY - 2021 DA - 2021/04 SN - 3 DO - http://doi.org/10.12150/jnma.2021.53 UR - https://global-sci.org/intro/article_detail/jnma/18777.html KW - Impulse, Poincaré-Bohl theorem, Periodic solution, Existence. AB -

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.

Fangfang Jiang. (1970). Existence of Periodic Solutions in Impulsive Differential Equations. Journal of Nonlinear Modeling and Analysis. 3 (1). 53-70. doi:10.12150/jnma.2021.53
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