Anti-periodic Boundary Value Problems of φ-Laplacian Impulsive Differential Equations
Applied and Computational Mathematics
Volume 5, Issue 2, April 2016, Pages: 91-96
Received: May 3, 2016; Accepted: May 13, 2016; Published: May 30, 2016
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Authors
Xiufeng Guo, College of Sciences, Hezhou University, Hezhou, Guangxi, China
Yuan Gu, College of Sciences, Hezhou University, Hezhou, Guangxi, China
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Abstract
This paper concerned with the existence of solutions of anti-periodic boundary value problems for impulsive differential equations with φ-Laplacian operator. Firstly, the definition a pair of coupled lower and upper solutions of the problem is introduced. Then, under the approach of coupled upper and lower solutions together with Nagumo condition, we prove that there exists at least one solution of anti-periodic boundary value problems for impulsive differential equations with φ-Laplacian operator.
Keywords
Anti-periodic Boundary Value Problems, Impulsive Differential Equations, φ-Laplacian Operator, Coupled Lower and Upper Solutions
To cite this article
Xiufeng Guo, Yuan Gu, Anti-periodic Boundary Value Problems of φ-Laplacian Impulsive Differential Equations, Applied and Computational Mathematics. Vol. 5, No. 2, 2016, pp. 91-96. doi: 10.11648/j.acm.20160502.19
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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