Azmy S. Ackleh & Keng Deng
Abstract:
We present recent results concerning the application of the
monotone method for studying existence and uniqueness of solutions
to general first-order nonlinear nonlocal hyperbolic problems.
The limitations of comparison principles for such
nonlocal problems are discussed. To overcome these limitations,
we introduce new definitions for upper and lower solutions.
Published February 28, 2003.
Subject classifications: 35A05, 35A35, 35L60, 92D99.
Key words: Nonlinear nonlocal hyperbolic
IBVP, monotone approximation, existence uniqueness.
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Azmy S. Ackleh Department of Mathematics University of Louisiana at Lafayette Lafayette, Louisiana 70504, USA. e-mail: ackleh@louisiana.edu | |
Keng Deng Department of Mathematics University of Louisiana at Lafayette Lafayette, Louisiana 70504, USA. e-mail: deng@louisiana.edu |
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