Existence of Solutions for Nonlinear Four-Point -Laplacian Boundary Value Problems on Time Scales
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Existence of Solutions for Nonlinear Four-Point -Laplacian Boundary Value Problems on Time Scales

SGulsan, Topal;OBatit, Ozen;Erbil, Cetin;
advances in difference equations 2009 Vol. 2009 pp. 123565-
181
sgulsan2009existenceadvances

Abstract

We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a -Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for -Laplacian boundary value problem is also given by the monotone method.

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