Variational approach to non-instantaneous impulsive nonlinear differential equations

Volume 10, Issue 5, pp 2440--2448 http://dx.doi.org/10.22436/jnsa.010.05.14

Publication Date: May 25, 2017 Submission Date: March 10, 2017

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Authors

Liang Bai - College of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China. Juan J. Nieto - Departamento de Estadística, Análisis Matemático y Optimización, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain. Xiaoyun Wang - College of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi 030024, P. R. China.

Abstract

In this paper, a class of nonlinear differential equations with non-instantaneous impulses are considered. By using variational methods and critical point theory, a criterion is obtained to guarantee that the non-instantaneous impulsive problem has at least two distinct nonzero bounded weak solutions.

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ISRP Style

Liang Bai, Juan J. Nieto, Xiaoyun Wang, Variational approach to non-instantaneous impulsive nonlinear differential equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2440--2448

AMA Style

Bai Liang, Nieto Juan J., Wang Xiaoyun, Variational approach to non-instantaneous impulsive nonlinear differential equations. J. Nonlinear Sci. Appl. (2017); 10(5):2440--2448

Chicago/Turabian Style

Bai, Liang, Nieto, Juan J., Wang, Xiaoyun. "Variational approach to non-instantaneous impulsive nonlinear differential equations." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2440--2448

Keywords

Non-instantaneous impulse
mountain pass theorem
bounded solution.

MSC

34K45
34B37
47J30

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