Oscillation theorems for impulsive parabolic differential system of neutral type

Min Zou; An-Ping Liu; Zhimin Zhang

doi:10.3934/dcdsb.2017103

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2017, Volume 22, Issue 6: 2351-2363. Doi: 10.3934/dcdsb.2017103

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Oscillation theorems for impulsive parabolic differential system of neutral type

1.
School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China
2.
Department of Mathematics, Wayne State University, Detroit, MI 48202, USA

Author Bio: E-mail address: zoumin81@hotmail.com; E-mail address: wh apliu@sina.com
E-mail address: zzhang@math.wayne.edu
E-mail address: zzhang@math.wayne.edu

Received: May 31, 2016

Revised: June 30, 2016

Published: May 2017

This work is supported in part by the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) No.2012129100, National Natural Science Foundation of China No.11201436, No.91430216, and No.11471031, and National Basic Research Program of China (973 Program)(2011CB710604).

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Abstract

In this paper, oscillatory properties of solutions to a nonlinear impulsive parabolic differential system of neutral type are investigated. A series of sufficient conditions are established for problems with Robin and Dirichlet boundary conditions. Examples are provided to confirm the validity of the analysis.

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Mathematics Subject Classification: Primary:58J45, 35B05;Secondary:35R12.

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References

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