Blowup of solution for a reaction diffusion equation with memory and multiple nonlinearities

Authors

  • Qingying Hu Henan University of Technology
  • Longfei Qi Henan University of Technology
  • Hongwei Zhang Henan University of Technology

DOI:

https://doi.org/10.24297/jam.v6i3.3661

Keywords:

reaction diffusion equation, blow-up, memory term, multiple nonlinearities

Abstract

In this paper, the blow-up of solution for the initial boundary value problem of a class of reaction diffusion equation with memory and multiple nonlinearities is studied. Using a differential inequalities, we obtain sufficient conditions for the blow-up of solutions in a finite time interval under suitable conditions on memory and nonlinearities term and for vanishing initial energy.

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Author Biographies

  • Qingying Hu, Henan University of Technology
    Department of Mathematics
  • Longfei Qi, Henan University of Technology
    Department of Mathematics
  • Hongwei Zhang, Henan University of Technology
    Department of Mathematics
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2014-02-21

Issue

Vol. 6 No. 3 (2014)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Blowup of solution for a reaction diffusion equation with memory and multiple nonlinearities. (2014). JOURNAL OF ADVANCES IN MATHEMATICS, 6(3), 1050-1055. https://doi.org/10.24297/jam.v6i3.3661