[PDF] Top 20 Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

... nonlocal boundary value problems, and one of the first of these was ...multipoint boundary value problems for second-order linear ordinary differential ... See full document

... multi-point boundary value problems for ordinary differential equations have been well studied, especially on a compact ...of three-point boundary ... See full document

... consider three-point boundary value problems for second order impulsive differential equations with an arbitrary finite number of ... See full document

... aforementioned problems by an iterative method based on the existence of an ordered couple α, β of a lower and an upper ...different boundary value problems when g does not depend on u ... See full document

... the existence of a solution to the anti-periodic bound- ary value problem ...significant point here is that the right-hand side of ...relative boundary value problem will be more ... See full document

... Lemma . (Krasnoselskii’s fixed-point theorem) [] Let M be a closed, bounded, convex and nonempty subset of a Banach space X. Let A, B be the operators such that (a) Ax +By ∈ M whenever x, y ∈ M; (b) A is ... See full document

... preliminary results that we need in the sequel, Sections  and  are dedicated to the existence results of problems () and (), respectively, in the final Section , two examples are given to ... See full document

... [12] Areo E.A., Ademiluyi R.A. and Babatola P.O., “Three-step Hybrid Linear Multistep Method for the solution of First-order initial value problems in ODEs”. Journal of Mathematical Physics. ... See full document

... the existence results for first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary ... See full document

... Singular boundary value problems arise very frequently in fluid mechanics and in other branches of applied ...are results on the existence and asymptotic esti- mates of solutions for ... See full document

... of problems with mass and heat diffusion, one frequently desires to solve second order non-linear ordinary differential equations involving conditions at two ...two point ... See full document

... The existence of solutions for integer order differential equations with specific boundary conditions and resonance scenarios have been studied by many authors (see [–] and the references ... See full document

... Recently, there have been some papers [1, 2, 3, 13, 14] discussing the existence of pos- itive solutions for the BVP (1.1) by using the Guo-Krasnoselskii fixed-point theorem, that is, the ... See full document

... two-point boundary value problems (BVPs) with boundary condition type I and II are ...a three-stage fourth-order direct explicit Runge- Kutta type method denoted as RKT3s4 ... See full document

... Boundary value problems for fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of ... See full document

... The existence of nonlinear three-point boundary-value problems has been stu- died [1]-[6], and the existence of sign-changing solutions is ...fixed point index ... See full document

... an existence result for weak solutions of the boundary value problem of nonlinear differential equations of second ...fixed point theorem in conjunction with the tech- nique of ... See full document

... multi-point boundary value problems for linear second-order ordinary dif- ferential equations goes back to the method of separation of variables ...nonlocal ... See full document

... The paper is formulated as follows. In Section 2, some definitions and lemmas are given. In Section 3, we obtain two new existence theorems by using Schaefer’s fixed point theorem. In Section 4, an ... See full document

... fixed point theorems are widely used as fundamental tools in order to prove the existence of positive solutions of boundary value problems associated to some differential ... See full document