A. Kameswara Rao
Abstract:
We determine the values of a parameter
for which there
exist positive solutions to the system of dynamic equations
with the boundary conditions,
,
,
,
,
where
is a time scale. To this end we apply
a Guo-Krasnosel'skii fixed point theorem.
Submitted July 6, 2009. Published October 4, 2009.
Math Subject Classifications: 39A10, 34B15, 34A40.
Key Words: Dynamic equations; eigenvalue intervals;
positive solution; cone.
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A. Kameswara Rao Department of Applied Mathematics, Andhra University Visakhapatnam 530 003, India email: kamesh_1724@yahoo.com |
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