Semipositone higher-order differential equations

Positive Periodic Solution for Second-Order Singular Semipositone Differential Equations

and Applied Analysis 3

Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions

In this paper, we consider four-point coupled boundary value problem for systems of the nonlinear semipositone fractional differential equation

A discrete fourth-order Lidstone problem with parameters

Keywords: Difference equations Boundary value problems Symmetric Green's function Fixed points Fourth-order Discrete Beam Lidstone Semipositone a b s t r a c t Various existence, multiplicity, and nonexistence results for nontrivial solutions to a non-linear discrete fourth-order Lidstone boundary value problem with dependence on two parameters are given, using a symmetric Green's function appr...

Positive Solutions for Second-order Differential Equations with Integral Boundary Conditions

This paper studies the existence of positive solutions for a class of second-order semipositone differential equations with a negatively perturbed term and integral boundary conditions. By using a well-known fixed-point index theorem, some new existence results are derived for the case where nonlinearity is allowed to be sign changing. Several examples are presented to demonstrate the applicati...

Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales