[PDF] Top 20 Positive solutions for Neumann boundary value problems of nonlinear second order integro differential equations in ordered Banach spaces

... of positive solutions for ordinary differential equations with certain boundary conditions has been studied by many authors, see [1-5] and the references ...of positive ... See full document

... differential equations in Banach space has become a new important branch of investigation see, ...of solutions for the following second-order two-point boundary value ... See full document

... of solutions of initial value problems for nth-order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with infinite number of ... See full document

... multiple positive solutions of a boundary value problem for α-order nonlinear integro-differential equations in a Banach space has been addressed for the first ... See full document

... a Banach space with a cone P. Then E becomes an ordered Banach space under the partial ordering ≤ which is induced by ...a positive constant N such that θ ≤ x ≤ y implies x ≤ N y ... See full document

... max t∈−r,1 |xt|. Then, C−r, 0, R and C−r, 1, R are Banach spaces. Let C {x ∈ C−r, 0, R, xt ≥ 0, ∀t ∈ −r, 0} and P {x ∈ C−r, 1, R, xt ≥ 0, ∀t ∈ −r, 1}. Obviously, C and P are cones in C−r, 0, R and C−r, 1, ... See full document

... of boundary value problems (BVP for short) for nonlinear fractional differential ...for nonlinear fractional boundary value problems were established by ... See full document

... differential equations having fractional ...differential equations was studied by Byszewski [, ] ...of nonlinear differential equations and integrodifferential equations including ... See full document

... Let Y , Z be real Banach spaces, L : dom L ⊂ Y → Z be a linear operator. L is said to be the Fredholm operator of index zero. P : Y → Y , Q : Z → Z are continuous projectors such that Im P = Ker L, KerQ = ... See full document

... Boundary value problems for impulsive differential equations arise from many nonlin- ear problems in sciences, such as physics, population dynamics, biotechnology, and eco- nomics ... See full document

... Theorem 2.2. Let P be a cone in a real Banach space E. Let γ and θ be nonnegative continuous convex functionals on a cone P, α be a nonnegative continuous concave functional on P , and ψ be a nonnegative ... See full document

... of positive solutions on high-order fractional differential equations with p-Laplacian operator, espe- cially for conformable differential ...of positive solutions for ... See full document

... of solutions for fractional differential inclusions with anti- periodic boundary conditions,” Boundary Value Problems, ...erential equations with infinite delay in Fr´echet ... See full document

... for solutions of (1) subjected to very general boundary value conditions including, as particular cases, Dirichlet, periodic, Sturm-Liouville and Neumann prob- ...the boundary con- ... See full document

... Remark 1.1 Clearly, the assumptions imposed in Theorem 1.1 are too strict. As is well known, there is no research focused on the improvement of the assumptions in Theo- rem 1.1. By constructing a special Banach ... See full document

... The paper is organized as follows. In Section , we recall some preliminary facts that we used in the sequel. Section  deals with the existence result for single-valued initial bound- ary value problem, while the ... See full document

... Lemma 3.2 15. Let X and Y be Banach spaces. Suppose L : DL ⊂ X → Y is a Fredholm operator of index zero with Ker L {0}, N : X → Y is L-compact on any open-bounded subset of X. If 0 ∈ Ω ⊂ X is an ... See full document

... Fractional differential equa- tions appears in a large number of fields of science and engineering, thermodynam- ics, elasticity, wave propagation, electric railway systems, telecommunication lines and also in ... See full document

... differential equations has been emerging as an important area of investigation in recent years ...of solutions by using topological methods, including fixed point theorems, Leray-Schauder degree the- ory, and ... See full document

... In this paper, the separability properties of elliptic convolution operator equations are investigated. It is obtained that the corresponding convolution-elliptic operator is positive and also is a ... See full document