[PDF] Top 20 Existence of positive solutions for singular fourth order three point boundary value problems

... the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...the existence of at least one positive solution to the ...be singular at t = 0 and t = ... 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

... 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

... 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 of triple concave symmetric positive solutions for the nonlinear boundary value problems with integral boundary ... 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 and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential ...the ... See full document

... the existence of positive solutions to the problem ...multi-point boundary value ...the existence of positive solutions for the pro- blem ... See full document

... of boundary value problems with integral boundary conditions appeared in heat conduction, chemical engineering underground water flow, thermoelasticity, and plasma ...of problems ... 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

... 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

... 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

... fixed point theorem of cone expansion and compression of functional type due to Avery et ...the existence of positive solutions for FBVP ...of positive solutions. Here, as usual, ... 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

... where f: ℝ ® ℝ is continuous, l Î ℝ is a parameter and l is a given constant. Since the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system ... 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

... Motivated by the above works, we consider the nth-order nonlinear singular BVPs (1.1) for the more general equations. In this paper, the results of existence and multiplicity of positive ... See full document

... nonlinear fourth-order ordinary differential ...for singular and nonsingular case, one can refer to ...nonlinear fourth- order di ff erential ...the existence of the ... See full document

... the existence of positive solutions for boundary value problems with p-Lapla- cian in Banach ...discussing positive solution for boundary value ... See full document