[PDF] Top 20 Existence of Positive Solutions for Fourth-Order Three-Point Boundary Value Problems

... 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

... Fixed point theorems have been applied to various boundary value problems to show the existence and multiplicity of positive solutions in the last two ...fixed point ... See full document

... The existence of positive solutions for nonlinear second-order and higher-order multipoint boundary value problems has been studied by several authors, for example, ... See full document

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

... the existence of positive solutions for a class of third-order three-point boundary value ...fixed point theorem on cone, some new criteria to ensure the ... See full document

... operator and the fixed-point theorem in a cone for a strict-set-contraction operator. The paper is organized as follows. In Section , we present some preliminaries and lem- mas that will be used to prove our main ... See full document

... the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, u 4 t f t, ut, u t, t ∈ 0, 1, u0 0 1 ... See full document

... multi-point boundary value problems has received increas- ing ...the existence and multiplicity results, see [1, 2, 3, ...multi-point boundary value problems ... See full document

... fixed point index theorems on cone for differentiable operators are the effective tools to investigate positive solutions of fractional ...fixed point theorems for differentiable operators to ... See full document

... 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 of nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive ... See full document

... the existence and nonexistence of positive solutions to problem ...fixed point theo- rem together with the properties of Green’s ...the existence of positive solutions for ... 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

... u(0) = u(L) = u (0) = u (L) = u (4) (0) = u (4) (L) = 0, (1 : 2) where A, B, and C are some given real constants and f(x, u) is a continuous function on R 2 , is motivated by the study for stationary solutions of ... See full document

... nonlinear fourth-order ordinary differential ...nonlinear fourth- order di ff erential ...the existence of the positive solutions and the multiple positive ... See full document

... fixed point theorem in a cone [5] and some inequalities of the associated Green’s function for the associated problem, the existence of positive solutions for the second-order ... See full document

... 3 B. Ahmad and S. Sivasundaram, “Existence of solutions for impulsive integral boundary value problems of fractional order,” Nonlinear Analysis: Hybrid Systems, vol. 4, no. 1, ... See full document

... a fourth-order ordinary equation boundary value pro- ...the existence of positive solutions for the fourth-order boundary value problem has ... See full document

... Since the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem (1.1). Thus, existing lit- erature on the problem ... See full document

... and Hölder’s inequality, the authors showed the existence of countably many positive so- lutions. The other related results can be found in [–]. However, there are almost no papers considering ... See full document