Existence of Solutions for a One Dimensional P-laplacian on Time Scales
نویسنده
چکیده
We prove the existence of at least one positive solution to the time-scale, delta-nabla dynamic equation, (g(u∆))∇ + c(t)f(u) = 0, with boundary conditions, u(a) − B0(u(ν)) = 0 and u(b) = 0. Here, g(z) = |z|p−2z for p > 1, ν ∈ (a, b), f and c are left-dense continuous, and B0 is a function “bounded” by two linear rays.
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