Electronic Journal of Differential Equations,
Conference 02 (1999), pp. 87-91.

Title: Bounded solutions of nonlinear parabolic equations with time delay

Authors: Hushang Poorkarimi (Univ. of Texas - Pan American, Edinburg, TX, USA)
Joseph Wiener (Univ. of Texas - Pan American, Edinburg, TX, USA)
 
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.
Math Subject Classifications: 35K05, 35K15, 35K55, 34K05.
Key Words:  Nonlinear parabolic equation; piecewise constant delay;
 bounded solution; initial value problem; Fisher's equation.