[PDF] Top 20 Positive solutions for fourth-order second-point nonhomogeneous singular boundary value problems

... of positive solutions for the nonhomogeneous boundary value problem- s have been studied by some authors, see ...of positive solutions of three-point nonhomo- ... See full document

... and second authors were supported financially by the National Natural Science Foundation of China (10471075) and the State Ministry of Education Doctoral Foun- dation of China ... See full document

... of solutions of two- point, three-point, multi-point, and integral boundary value problems for nonlinear or- dinary differential equations and fractional differential ... See full document

... nonlinear fourth- order two-point boundary value problems have received wide attentions see 7–12 and references ...the boundary value problem ...the second ... See full document

... multiple positive solutions using the fixed point index technique combined with the approximation of the singular BVP () by an appropriate sequence of regular ...be singular in its ... See full document

... where a min{0, inf{τ t : 0 ≤ t ≤ 1}}, b max{1, sup{τt : 0 ≤ t ≤ 1}}, and the existence of positive solutions to 1.1 is obtained. When τt t − r in 1.1, Agarwal and O’Regan in 5, Lin and Xu in 6 discussed the ... See full document

... of positive solutions of a singular boundary value problem for second-order di ff erential systems with impulse e ff ...lower solutions method and fixed point ... See full document

... fixed point theorem is used extensively in the study of triple positive differential equations, the method has not been used to study this type of second-order singular boundary ... See full document

... This paper is organized as follows. In Section 2, we present some preliminaries and lemmas. Section 3 is devoted to the existence of at least three convex and increasing positive solutions for problem ... See full document

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

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

... of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions, under some assumptions on the nonlinearities of the ... See full document

... The fourth-order boundary value problems of ordinary value problems have important application in various branches of pure and applied ...the boundary value ... See full document

... the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ ...one positive solution to the ...be singular at t = 0 and t = ... See full document

... a positive parameter. The m -point boundary value problem for linear second-order ordinary diffe- rential equations was initiated by Ilin and Moiseev [1] ...multi-point ... See full document

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

... with nonhomogeneous multipoint boundary value problems of second- order differential equations with one-dimensional ...three solutions may be not positive of these ... See full document

... multi-point boundary value problems has received increas- ing ...multi-point boundary value problems of linear second-order ordinary dif- ferential ... See full document

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