Qiang Li, Yongxiang Li
Abstract:
In this article, the existence and multiplicity results of positive
periodic solutions are obtained for the second-order functional
differential equation with infinite delay
where
are continuous
-periodic
functions,
is defined by
for
,
denotes the Banach space of bounded continuous function
with the norm
,
and
is a nonnegative continuous functional.
The existence conditions concern with the first eigenvalue of the associated
linear periodic boundary problem. Our discussion is based on the fixed point
index theory in cones.
Submitted September 22, 2013. Published April 4, 2014.
Math Subject Classifications: 34C25, 47H10.
Key Words: Second-order functional differential equations; first eigenvalue;
positive periodic solution; cone; fixed point index.
Show me the PDF file (272 KB), TEX file, and other files for this article.
Qiang Li Department of Mathematics Northwest Normal University Lanzhou 730070, China email: lznwnuliqiang@126.com | |
Yongxiang Li Department of Mathematics Northwest Normal University Lanzhou 730070, China email: liyxnwnu@163.com, Phone 86-0931-7971111 |
Return to the EJDE web page