[PDF] Top 20 Existence and Uniqueness of Positive Solution for a Singular Nonlinear Second-Order -Point Boundary Value Problem

... Multipoint boundary value problems for second-order ordinary differential equations arise in many areas of applied mathematics and physics; see 1–3 and references ...three-point ... See full document

... Abstract In this paper, we study the existence and uniqueness of positive solution for 2mth-order nonlinear differential equation with boundary conditions, by using the fixed point theor[r] ... See full document

... the uniqueness of the posi- tive solution, the iteration and the rate of the convergence by the iteration for the nonlinear singular third-order three-point BVP ...the ... See full document

... fractional boundary value prob- lems have been investigated by some authors, to the best of our knowledge, there have been few papers which deal with the problem ...for nonlinear ... See full document

... new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point ... See full document

... Motivated by above works, under various appropriate assumptions on p , q and K t ( ) , we will obtain the existence and uniqueness of positive solution of problem (1.1) for λ in ... See full document

... this problem was considered in 6 where the authors proved the existence of one positive solution for ...fixed point theorem and nonlinear alternative of Leray-Schauder type in a ... See full document

... the nonlinear term has to satisfy the monotone or other control ...the nonlinear fractional differential equation with non- monotone term can respond better to impersonal law, so it is very important to ... See full document

... 1 positive solution to ...1 positive solution to 1.1 and 1.2 is called a smooth positive solution if u 0 and u 1 − both exist ut > 0 for t ∈ 0, ...smooth solution a C 1 ... See full document

... is positive, then from Lemma . it follows that u(x) is a positive function of x ∈ [, ...a positive decreasing function of x ∈ [, ] from Lemma .... Second, suppose that m, n and k are ... See full document

... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document

... the second order differential ...periodic-integrable boundary value condition, the existence of the solutions of this equation is discussed by the method of the operator theory and the ... See full document

... by boundary value problems of fractional differential ...by boundary value problems of fractional differential equations ...In order to achieve extra information in fractional calculus, ... 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 boundary value ... See full document

... the existence of positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real ... See full document

... the existence of positive solutions for a class of singular second-order differential equations with periodic boundary ...fixed point theory in cones, the explicit range for ... See full document

... fractional order, or fractional differential equations, in which an unknown function is contained under the operation of a derivative of fractional order, have been of great interest ...integer order ... See full document

... the existence of solutions for equation () with various boundary value conditions has been studied ...three- point boundary value problem at resonance were ... See full document

... the existence of positive solutions of singular second-order boundary value problem u t f t, u t 0, t ∈ 0, 1 , u 0 u 1 0, which is not necessarily ... See full document

... the existence and uniqueness of solutions for a fractional differential equation of order q ∈ (n – 1, n] with slit-strips type boundary ...type boundary condition states that the sum of ... See full document