Triple Positive Solutions of Two-Point BVPs for p-Laplacian Dynamic Equations on Time Scales
نویسندگان
چکیده
We study the existence of positive solutions to the p-Laplacian dynamic equations (g(u∆(t)))∇+a(t)f(t, u(t)) = 0 for t ∈ [0, T ]T satisfying either the boundary condition u(0) − B0(u(0)) = 0, u(T ) = 0 or u(0) = 0, u(T ) + B1(u(T )) = 0, where g(ν) = |ν|p−2 ν with p > 1. By using a new five functionals fixed-point theorem due to Avery, we prove that the boundary value problems has at least three positive solutions. As an application, an example is given to illustrate our result. AMS Subject Classifications: 34B15, 39A10.
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