Blow-Up of the Solution for some Higher Order Hyperbolic and Neutral Evolution Systems-Reference-Cited by-同舟云学术

Blow-Up of the Solution for some Higher Order Hyperbolic and Neutral Evolution Systems

Published:2011-03-28 Issue: Volume:52-54 Page:121-126
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Chen Ning¹,Chen Ji Qian¹

Affiliation:

1. Southwest University of Science and Technology

Abstract

In this paper, we give some results on the blow-up behaviors of the solution to the mixed problem for some higher-order nonlinear hyperbolic and parabolic evolution equation in finite time. By introducing the “ blow-up factor ’’, we get some new conclusions, which generalize some results [4]-[5] , [6] .

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.52-54.121.pdf

Reference14 articles.

1. Guo D. J., Lakshimikantham V., Nonlinear Problems in Abstract Cones, New York: Academic Press, (1998).

2. Bainov D.D. CUI Bao-tong , Minchev E , Forced oscillatory properties of the solutions of hyperbolic differential equations, Vol. 72(1996), p, 309-318.

3. J. Zhan . Blow-up of solution of generalized neutral pseudo-hyperbolic equation. Chinese quarterly journal of mathematics, Vol. 2(1992), p, 11-17.

4. Zhang Jian. Boundedness and blow-up behavior for reaction-diffusin systems in a bounded domain. Nonlinear Analysis, Vol. 35(1999), p, 833-844.

5. N. Chen. Blow-up of the solution for a kind of six order hyperbolic and parabolic evolution systems, Applied Mathematical sciences, Vol. 1(2007), p, 1231-1240.

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