Multiple positive solutions for the one-dimensional singular p-Laplacian
Applied Mathematics and Computation
Existence of three positive solutions for some second-order boundary value problems
Computers & Mathematics with Applications
Multiple positive solutions for the one-dimensional p-Laplacian dynamic equations on time scales
Mathematical and Computer Modelling: An International Journal
Higher order semipositone multi-point boundary value problems on time scales
Computers & Mathematics with Applications
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In this paper we discuss the following p-Laplacian m-point boundary value problem on time scales T: (@f"p(u^@D(t)))^@?+h(t)f(t,u(t),u^@D(t))=0,t@?(0,T)"T,u(0)=0,@f"p(u^@D(T))=@?i=1m-2a"i@f"p(u^@D(@x"i)), where @f"p(u)=|u|^p^-^2u for p1. Some new existence criteria for at least three positive solutions are established by using a generalization of the Leggett-Williams fixed point theorem due to Bai and Ge. An example is also given to demonstrate the main result.