[PDF] Top 20 The Existence and Uniqueness of Positive Solutions for a Singular Nonlinear Three Point Boundary Value Problems

... upper solutions. Wei ([15]) constructed the method of upper and lower solutions for three-point boundary value problems and gave the sufficient and necessary conditions ... See full document

... the existence and uniqueness of smooth positive solutions to the second-order singular m-point boundary value problem ...the existence of smooth ... See full document

... In the sequel, we present a sufficient condition for the existence and uniqueness of positive solutions for Problem (2) (positive solution means x(t) > 0 for t Î (0, 1)). The proof ... See full document

... two problems of boundary value problems for a fractional differential ...fixed point theorem in partially ordered sets and a contraction mapping principle are applied to prove the ... See full document

... the uniqueness of a positive solution for the singular nonlinear fractional differential equation boundary value problem ... See full document

... of boundary value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...The existence of positive solutions for ... See full document

... fixed point theorem for mixed monotone operators in ordered Banach spaces, we investigate the mixed monotone operators of a new type with ...new existence and uniqueness fixed point and ... See full document

... the existence of solutions or positive solutions for nonlinear singular or nonsingular three-point boundary value problems for third-order ... See full document

... The existence of positive solutions for multi-point boundary value problems has been widely studied in recent ...the existence of n solutions and/or ... See full document

... R˘adulescu, Singular Elliptic Problems: Bifurcation and Asymptotic Analysis, ...of Nonlinear Equations and Unilateral Problems, Encyclopedia of Mathematics and Its Applications, ... See full document

... nth-order three-point boundary value problem is first given, and growth conditions are imposed on nonlinearity f which yield the existence of countably many positive ... See full document

... and nonlinear alternative of Leray-Schauder type in a ...the existence and uniqueness of a positive and non-decreasing solution to this problem by a fixed-point theorem in partially ... See full document

... the existence and multiplicity of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where η ∈ ... See full document

... the existence, nonexistence, and multiplicity of positive solutions for the following nonlinear three- point boundary value problems of nth-order ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...the existence of solutions and positive ... See full document

... the existence of triple concave symmetric positive solutions for the nonlinear boundary value problems with integral boundary ... See full document

... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear ... See full document

... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ...for ... See full document

... to problems of analyticity in the complex domain ...the existence of a solution for the nonlinear fractional differential equation D α 0 u ft, u, where 0 < α < 1 and f : 0, a × R → R, 0 < a ≤ ... See full document

... m-point boundary value problems for ordinary di ff erential equations arise in a va- riety of different areas of applied mathematics and ...the existence of positive ... See full document