Existence of Multiple Positive Solutions for 3nth Order Three-Point Boundary Value Problems on Time Scales

Existence of Positive Solutions for Higher Order Three-Point Boundary Value Problems on Time Scales

“…Then and Ψ are nonnegative continuous concave functionals on , and , and are nonnegative continuous convex functionals on . Let , , , , , , , , , , , , , , , and , , Ψ, ℎ, , be defined by (12). It is clear that and ‖ ‖ , ∀ ∈ , .…”

Existence of Three Positive Solutions to Somep-Laplacian Boundary Value Problems

“…Although the basic aim of the theory of time scales is to unify the study of differential and difference equations in one and the same subject, it also extends these classical domains to hybrid and in-between cases. A great deal of work has been done since the eighties of the XX century in unifying the theories of differential and difference equations by establishing more general results in the time scale setting [8][9][10][11][12].…”