[PDF] Top 20 Multiple positive solutions to some second-order integral boundary value problems with singularity on space variable

... abstract space, by the fixed point theorem of strict set contraction operators, Zhang et ...of solutions for some second- order integral boundary value ... See full document

... of boundary value problems with Riemann-Stieltjes -integral conditions for second-order dynamic equations on time scales at ...Nonlinear Problems in Abstract ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... 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 ...two-point ... See full document

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

... Banach space with norm ...be positive if A0, ∞ × K ⊆ ...a positive linear operator V on E is said to be a linear minorant for A if Aλ, u ≥ λV x for λ, u ∈ 0, ∞ × ... See full document

... Banach space, P be a cone in E and P  denote the interior points of ...a positive constant N such that θ ≤ x ≤ y implies x ≤ Ny, where θ denotes the zero element of E, and the smallest constant N is called ... See full document

... Boundary value problems with p-Laplacian have received a lot of attention in recent ...of solutions or positive solutions and multiple solutions for the local or ... See full document

... the boundary conditions in many areas of applied mathematics and physics come down to integral boundary ...nonlocal problems with integral boundary ...of boundary ... See full document

... Definition . Let E be an ordered Banach space, D be a bounded set of E. The opera- tor A : D → E is said to be a k-set contraction if A : D → E is continuous and bounded, and there is a constant k ≥  such that ... See full document

... In 5 and other literatures, the authors studied 1.1 in the case where ft, x qtgx, g : 0, ∞ → 0, ∞ is continuous, and q ∈ C0, 1 with 0 1 t1 − tqtdt < ∞ or in the case where ft, x : 0, 1 × R → R is continuous and ... See full document

... appropriate boundary value conditions, the existence of positive solution of equa- tion () is significant and ...the singularity in the corresponding differential equation model, ... See full document

... of multiple solutions to some boundary value problems involving integral boundary conditions has recently been studied by many authors, for instance, Boucherif in ... See full document

... of multiple positive solutions for the above Sturm-Liouville boundary value problems for second order differential ...of positive solutions when the ... See full document

... Theorem 4.1. [3] Let P be a cone in the real Banach space B. Suppose α and ψ are nonnegative continuous concave functionals on P and γ, β, θ are nonnega- tive continuous convex functionals on P, such that for ... See full document

... scalar space has been studied by many authors using Schauder’s fixed-point theorem and the Leray-Schauder degree theory (see [–] and references ...abstract space, it is here worth mentioning that Guo and ... See full document

... obtain some results for the existence of at least one, two or three positive solutions of m-point integral boundary value problems for nonlinear second-order ... See full document

... The pair (u, v) is a solution of problem (S)–(BC) if and only if (u, v) is a fixed point of operator Q in the space Y. So, we will investigate the existence of fixed points of opera- tor Q. Under assumptions (H1) ... See full document

... multi-point boundary value problems more than three-point for first-order systems on time ...tion, problems with integral boundary conditions arise naturally in thermal ... See full document

... “Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations, ” ...“Positive solutions ... See full document