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Solvability of p-Laplacian singular boundary value problems on time scales
-
Kapula Rajendra Prasad
and
Penugurthi Murali
Published/Copyright:
February 1, 2013
Abstract.
This paper is concerned with establishing the existence of positive solutions of p-Laplacian singular boundary value problem on time scale
where 
, 
and
is continuous and may be
singular at 
but not at 
. We establish the existence
of at least one positive solution for the p-Laplacian singular
boundary value problem on time scales by using the Leray–Schauder
degree theory.
Keywords: p-Laplacian; singular boundary value problem; time scale; positive solution; Leray–Schauder degree
Received: 2012-07-12
Accepted: 2012-12-08
Published Online: 2013-02-01
Published in Print: 2013-02-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- A recent application of power increasing sequences
- Positivity of the transmutation operators associated with a Cherednik type operator on the real line
- Solvability of p-Laplacian singular boundary value problems on time scales
- Harmonic boundary value problems in a quarter ring domain
- Sampling of homogeneous polynomials and approximating multivariate functions
Keywords for this article
p-Laplacian;
singular boundary value problem;
time scale;
positive solution;
Leray–Schauder degree
Articles in the same Issue
- Masthead
- A recent application of power increasing sequences
- Positivity of the transmutation operators associated with a Cherednik type operator on the real line
- Solvability of p-Laplacian singular boundary value problems on time scales
- Harmonic boundary value problems in a quarter ring domain
- Sampling of homogeneous polynomials and approximating multivariate functions
