Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures

Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures

Existence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales

In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.

Existence of solution for singular two-piont boundary value problem of second-order differential equation

In this paper , by constructing a special set and utilizing fixed point theory in coin , we study the existence of solution of singular two points boundary value problem for second-order differential equation , which improved and generalize the result of related paper . Keywords—singular differential equation , boundary value problem, coin , fixed point theory .

Existence of Positive Solution for Semipositone Second-order Three-point Boundary-value Problem

In this paper, we establish the existence of positive solution for the semipositone second-order three-point boundary value problem u′′(t) + λf(t, u(t)) = 0, 0 < t < 1, u(0) = αu(η), u(1) = βu(η). Our arguments are based on the well-known Guo-Krasnosel’skii fixed-point theorem in cones.

Existence of Positive Solutions of a Nonlinear Second-order Boundary-value Problem with Integral Boundary Conditions

In this article we prove the existence of at least one positive solution for a three-point integral boundary-value problem for a second-order nonlinear differential equation. The existence result is obtained by using Schauder’s fixed point theorem. Therefore, we do not need local assumptions such as superlinearity or sublinearity of the involved nonlinear functions.