UNIQUENESS RESULTS FOR THE NONLINEAR HYPERBOLIC SYSTEM WITH JUMPING NONLINEARITY

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 4,  2007, pp.723-732
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.4.723
Title & Authors
UNIQUENESS RESULTS FOR THE NONLINEAR HYPERBOLIC SYSTEM WITH JUMPING NONLINEARITY
Jung, Tack-Sung; Choi, Q-Heung;

Abstract
We investigate the existence of solutions u(x, t) for a perturbation b[$\small{(\xi+\eta+1)^+-1}$] of the hyperbolic system with Dirichlet boundary condition (0.1) = $\small{L\xi-{\mu}[(\xi+\eta+1)^+-1]+f}$ in $\small{(-\frac{\pi}{2},\frac{\pi}{2}\;{\times})\;\mathbb{R}}$, $\small{L\eta={\nu}[(\xi+\eta+1)^+-1]+f}$ in $\small{(-\frac{\pi}{2},\frac{\pi}{2}\;{\times})\;\mathbb{R}}$ where $\small{u^+}$ = max{u,0}, $\small{{\mu},\nu}$ are nonzero constants. Here $\small{\xi,\eta}$ are periodic functions.
Keywords
Hyperbolic system;eigenvalue problem;Dirichlet boundary condition;uniqueness;
Language
English
Cited by
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