Hushang Poorkarimi & Joseph Wiener
Abstract:
The existence and uniqueness of a bounded solution is established for
a nonlinear parabolic equation with piecewise continuous time delay. This
problem may be considered as a generalization of Fisher's equation which has
applications in certain ecological studies.
Published December 9, 1999.
Subject lassfications: 35K05, 35K15, 35K55, 34K05.
Key words: Nonlinear parabolic equation, piecewise constant delay,
bounded solution, initial value problem, Fisher's equation.
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Hushang Poorkarimi Department of Mathematics University of Texas - Pan American Edinburg, TX 78539 USA e-mail: poorkar@panam.edu Tel: 956-381-3534 | |
Joseph Wiener Department of Mathematics University of Texas - Pan American Edinburg, TX 78539 USA e-mail: jwiener@panam.edu Tel: 956-381-3534. |
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