Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments

Guangjie Liu^1,2, Chengyong Wang¹

¹School of Mathematics and Computer Science, Hubei University of Arts and Science, Xiangyang, China.
²School of Mathematics and Physics, China University of Geosciences, Wuhan, China.

DOI: 10.4236/oalib.1101168                

Abstract

This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.

Keywords

Forced Oscillation, Parabolic Equation, Impulsive, Neutral Type, Continuous Distributed Deviating Arguments

Conflicts of Interest

The authors declare no conflicts of interest.

References

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