Add to ORKGWe find a Green's function for the singular third-order three-point BVP $$ u'''(t)=-a(t)f(t,u(t)),quad u(0)=u'(1)= u''(eta )=0 $$ where $0leq eta <1/2$. Then we apply the classical Krasnosel'skii's fixed point theorem for finding solutions in a cone. Although this problem Green's function is not positive, the obtained solution is still positive and increasing. Our techniques rely on a combination of a fixed point theorem and the properties of the corresponding vector field
summary:We establish not only sufficient but also necessary conditions for existence of solutions to...
AbstractIn this work, by employing the Guo–Krasnosel’skii fixed point theorem and Schauder’s fixed p...
AbstractWe determine the Green's function for the third-order three-point generalized right focal bo...
In this paper, we present the Green's functions for a second-order linear differential equation wit...
The solutions of third-order three-point boundary value problem x‘‘‘ + f(t, x) = 0, t ∈ [a, b], x(a)...
We are concerned with the following third-order three-point boundary value problem: u′′′t=ft, ut, ...
AbstractIn this paper we investigate the problem of existence of positive solutions for the nonlinea...
In this article, we study the existence of positive solutions to a nonlinear third-order three poin...
The solutions of third-order three-point boundary value problem x‘‘‘ + f(t, x) = 0, t ∈ [a, b], x...
AbstractThe positive solutions of a class of singular third-order three-point boundary value problem...
The singular nonlinear three-point boundary value problems −(Lu)(t) = h(t)f (u(t)), 0 < t < 1...
Abstract. By using a specially constructed cone and the fixed point index theory, this paper investi...
We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-val...
This paper is concerned with the following fourth-order three-point boundary value problem \begin{eq...
By using a fixed point theorem in a cone and the nonlocal third-order BVP's Green function, the exis...
summary:We establish not only sufficient but also necessary conditions for existence of solutions to...
AbstractIn this work, by employing the Guo–Krasnosel’skii fixed point theorem and Schauder’s fixed p...
AbstractWe determine the Green's function for the third-order three-point generalized right focal bo...
In this paper, we present the Green's functions for a second-order linear differential equation wit...
The solutions of third-order three-point boundary value problem x‘‘‘ + f(t, x) = 0, t ∈ [a, b], x(a)...
We are concerned with the following third-order three-point boundary value problem: u′′′t=ft, ut, ...
AbstractIn this paper we investigate the problem of existence of positive solutions for the nonlinea...
In this article, we study the existence of positive solutions to a nonlinear third-order three poin...
The solutions of third-order three-point boundary value problem x‘‘‘ + f(t, x) = 0, t ∈ [a, b], x...
AbstractThe positive solutions of a class of singular third-order three-point boundary value problem...
The singular nonlinear three-point boundary value problems −(Lu)(t) = h(t)f (u(t)), 0 < t < 1...
Abstract. By using a specially constructed cone and the fixed point index theory, this paper investi...
We obtain upper and lower estimates for positive solutions of a third-order three-point boundary-val...
This paper is concerned with the following fourth-order three-point boundary value problem \begin{eq...
By using a fixed point theorem in a cone and the nonlocal third-order BVP's Green function, the exis...
summary:We establish not only sufficient but also necessary conditions for existence of solutions to...
AbstractIn this work, by employing the Guo–Krasnosel’skii fixed point theorem and Schauder’s fixed p...
AbstractWe determine the Green's function for the third-order three-point generalized right focal bo...