Second-order equations with two point and integral boundary conditions

A Second-order Nonlinear Problem with Two-point and Integral Boundary Conditions

The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [6]. The present pa...

Higher order multi-point fractional boundary value problems with integral boundary conditions

In this paper, we concerned with positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed...

Second-Order Boundary Value Problem with Integral Boundary Conditions

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...

Multiple Positive Solutions for Second-Order p-Laplacian Dynamic Equations with Integral Boundary Conditions

Copyright q 2011 Y. Li and T. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We are concerned with the following second-order p-Laplacian dynamic equations on time scales ϕ p x Δ t ∇ λft, xt, x Δ t 0, t ∈ 0, T T , with int...