Three symmetric solutions of lidstone boundary value problems for difference and partial difference equations

Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian Difference Equations

Recommended by Svatoslav Stanek We deal with Dirichlet boundary value problems for p-Laplacian difference equations depending on a parameter λ. Under some assumptions, we verify the existence of at least three solutions when λ lies in two exactly determined open intervals respectively. Moreover, the norms of these solutions are uniformly bounded in respect to λ belonging to one of the two open ...

Triple Positive Symmetric Solutions for a Lidstone Boundary Value Problem

In this paper, we consider the Lidstone boundary value problem (−1)y = f(y(t)), 0 ≤ t ≤ 1, y(0) = 0 = y(1), 0 ≤ i ≤ m − 1, where f : R→ [0,∞). Growth conditions are imposed on f and inequalities involving the Green’s function for this problem are used which enable us to apply the Leggett-Williams Fixed Point Theorem for cones in ordered Banach spaces. This in turn yields the existence of at lea...

Periodic Boundary Value Problems for First Order Difference Equations

In this paper, existence criteria for single and multiple positive solutions of periodic boundary value problems for first order difference equations of the form

Boundary Value Problems for Functional Difference Equations on Infinite Intervals

Nontrivial solutions for fractional q-difference boundary value problems

In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem (D q y)(x) = −f(x, y(x)), 0 < x < 1, y(0) = 0 = y(1), by applying a fixed point theorem in cones.