# American Institute of Mathematical Sciences

February  2016, 36(2): 631-642. doi: 10.3934/dcds.2016.36.631

## Small perturbation of a semilinear pseudo-parabolic equation

 1 School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024 2 School of Math. Sci., South China Normal Univ., Guangzhou 510631

Received  May 2014 Revised  February 2015 Published  August 2015

This paper is concerned with large time behavior of solutions for the Cauchy problem of a semilinear pseudo-parabolic equation with small perturbation. It is revealed that small perturbation may develop large variation of solutions with the evolution of time, which is similar to that for the standard heat equation with nonlinear sources.
Citation: Yang Cao, Jingxue Yin. Small perturbation of a semilinear pseudo-parabolic equation. Discrete & Continuous Dynamical Systems - A, 2016, 36 (2) : 631-642. doi: 10.3934/dcds.2016.36.631
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