Electronic Journal of Differential Equations 15th annual Conference of Applied Mathematics, Univ. of Central Oklahoma,
Electron. J. Diff. Eqns., Conf. 02, 1999, pp. 87-91.

Bounded solutions of nonlinear parabolic equations with time delay

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.

Show me the PDF file (94K), TEX file, and other files for this article.

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.

Return to the EJDE web page