[PDF] Top 20 Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation

... the singular third-order three-point BVP ...nontrivial solutions and positive solutions are given by means of the topological degree ...the singular third-order ... See full document

... The first 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 (20060446001). The third ... 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

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

... positive solutions for a class of higher-order nonlocal fractional differential equations with Riemann-Stieltjes integral boundary ...integral equation, and then by applying a fixed point ... See full document

... (p(t)x ) = f(t, x, p(t)x , (p(t)x ) ), ∀t ∈ (0, 1) by the method of upper and lower solutions and the Schauder fixed point theorem. We also consider the multiplicity of the solutions by using topological ... See full document

... higher-order boundary value problems of nonlinear fractional differential equation in a Banach ...positive solutions is ... See full document

... where r(t) = e(t) μ , s(t) = μ c , α =  – μ, β =  – μ. Based on the lower and upper solution technique, the existence and asymptotic stability of positive solutions for () are obtained. In this paper, we ... See full document

... the boundary value problem has a more general form in which p(t), q(t) are allowed to be singular at t = ,  and f may be singular for time and space vari- ables, that is, f (t, u, v) and ... See full document

... earliest boundary value problem studied is Dirichlet prob- ...Laplace equation. Boundary value problems are most common in physics, such as wave ...of boundary ... See full document

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

... In the present paper, we assume that there exist n (n ∈ N and n ≥ ) pairs of upper and lower solutions for problem (.)-(.) and the nonlinear f satisfies a Nagumo-like growth condition with respect to u . By ... See full document

... ary value problems with integral boundary conditions are applied in different industries and fields, for instance, thermal conduction, chemical engineering, semiconductor, under- ground water flow, ... See full document

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

... for third-order differential equation boundary value problems with Riemann-Stieltjes integral boundary conditions is ... See full document

... positive solutions was obtained by using the fixed-point index ...itive solutions for the positone case and has at least one positive solution for the semipositone ... See full document

... multi-point problems and integral ...the boundary conditions is quite old, see for example the review by Whyburn in ...of solutions have been obtained by several authors; see [, , , , –] ... See full document

... second order regular boundary value problems for singular ordinary differential ...the equation is equal to summation of the solution in each ... See full document

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

... of solutions for the following singular higher-order continuous and discrete boundary value problems ...of solutions for the following singular higher-order ... See full document