Second-Order Differential Operators with Integral Boundary Conditions and Generation of Analytic Semigroups

Second-Order Boundary Value Problem with Integral Boundary Conditions

Boundary Value Problem for Second-order Differential Operators with Mixed Nonlocal Boundary Conditions

In this paper, we study a second order differential operator with mixed nonlocal boundary conditions combined weighting integral boundary condition with another two point boundary condition. Under certain conditions on the weighting functions and on the coefficients in the boundary conditions, called non regular boundary conditions, we prove that the resolvent decreases with respect to the spec...

Positive Solutions for Second Order Impulsive Differential Equations with Integral Boundary Conditions on Time Scales

In this paper, a class of second order impulsive differential equations with integral boundary conditions on time scales are considered. Under different combinations of superlineary and sublinearity of nonlinear term and the impulses, some existence, multiplicity, and nonexistence criteria of positive solutions are established based on Guo-Krasnosel’skii fixed point theorem, which are new and c...

Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions

In this paper, we study the existence of positive solutions for a singular second order impulsive differential equations with Stieltjes integral boundary conditions. By means of fixed point theorems, some results on the existence and multiplicity of positive solutions are obtained. Two examples are given to demonstrate the main results.

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...