Abstract
In this paper, we study the existence of nontrivial solutions for the 2 n th Lidstone boundary value problem with a sign-changing nonlinearity. Under some conditions involving the eigenvalues of a linear operator, we use the topological degree theory to obtain our main results.
Highlights
We investigate the existence of nontrivial solutions for the following 2nth Lidstone boundary value problem with a sign-changing nonlinearity:
In [1], the authors used a cone-theoretic fixed point theorem to study the existence of nontrivial solutions for the nonlinear Lidstone boundary value problem: Journal of Mathematics
We use the topological degree to study the nontrivial solutions for the 2nth Lidstone boundary value problem (1)
Summary
We investigate the existence of nontrivial solutions for the following 2nth Lidstone boundary value problem with a sign-changing nonlinearity:. In [1], the authors used a cone-theoretic fixed point theorem to study the existence of nontrivial solutions for the nonlinear Lidstone boundary value problem: Journal of Mathematics. In [2], the authors investigated the existence and uniqueness of positive solutions for the following generalized Lidstone boundary value problem:. In [12], the authors studied the following higher-order nonlinear fractional boundary value problem involving Riemann–Liouville fractional derivatives:. In [13], the authors adopted the similar method in [12] to study the existence of nontrivial solutions for the following system of fractional q-difference equations with q-integral boundary conditions:. Under some conditions involving the eigenvalues of the revelent linear operators, we use the topological degree to obtain our results
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