John R. Cannon, Mohamed Salman
Abstract:
The authors study the problem
,
,
;
, and
,
where
, and
for
and
for
,
with
and the sequence
is determined by the equations
, for
,
and
, for
,
where
.
Note that the switching points
, are unknown.
A maximum principal argument has been used to prove that the solution
is positive under certain conditions. Existence and uniqueness are
demonstrated. Theoretical estimates of the
and
are obtained and numerical verifications of the estimates are
presented.
Published April 15, 2009.
Math Subject Classifications: 35K57, 35K55.
Key Words: Reaction-diffusion, Parabolic, Nonlocal boundary conditions.
Show me the PDF file (321 KB), TEX file, and other files for this article.
John R. Cannon University of Central Florida, Department of Mathematics Orlando, FL 32816, USA email: jcannon@pegasus.cc.ucf.edu | |
Mohamed Salman Tuskegee University, Department of Mathematics Tuskegee, AL 36088, USA email: msalmanz@gmail.com |
Return to the table of contents
for this conference.
Return to the EJDE web page