A nonlocal problem for a wave equation with nonlinear integral condition

Yong Zhang; Peihao Zhao

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A nonlocal problem for a wave equation with nonlinear integral condition

Yong Zhang * #,Peihao Zhao

School of Mathematics and Statistics, Lanzhou University.

*Correspondence author

#Submitted by

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Funding: none

Opened online: 8 January 2008

Accepted by: none

Citation: Yong Zhang,Peihao Zhao.A nonlocal problem for a wave equation with nonlinear integral condition[OL]. [ 8 January 2008] http://en.paper.edu.cn/en_releasepaper/content/17847

In this paper, we study a nonlocal problem for a wave equation with nonlinear integral condition in a cylinder. The main aim is to prove the uniqueness and existence of a generalized solution. The proofs are based on a priori estimate and the Galerkin procedure, respectively.

Keywords:Nonlocal problem, nonlinear integral condition, wave equation, generalized solution.

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