[PDF] Top 20 Existence of multiple positive solutions for fourth-order boundary value problems in Banach spaces

... a Banach space were carried out under the assumption that the second-order derivative x is not involved explicitly in the nonlinear term f ...the existence of solutions for ... See full document

... nonlinear fourth-order ordinary differential ...nonlinear fourth- order di ff erential ...the existence of the positive solutions and the multiple positive ... See full document

... The goal of differential equations is to understand the phenomena of nature by developing mathematical models. Fractional calculus is the field of mathematical analysis, which deals with investigation and applications of ... See full document

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

... the existence of a positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract ... See full document

... the existence and multiple solutions of discrete boundary value ...the existence and multiple solutions to the boundary value problem (BVP for short) ... See full document

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

... the existence of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...The existence of single or multiple ... See full document

... The existence of positive solutions for nonlinear fourth-order multipoint boundary value problems has been studied by many authors using nonlinear alternatives of ... See full document

... real 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

... 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

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

... the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value problems using lower and upper ... See full document

... fractional order differential equations has emerged as an important area of ...of existence of positive solutions for fractional order differential equations satisfying initial (or) ... See full document

... ordered Banach space E with positive cone K , where M > 0 is a constant, f : [0, 1] × K × K ® K is continuous, S : C ([0, 1], K ) ® C ([0, 1], K ) is a Fredholm integral operator with positive ... See full document

... fractional order model- s are found to be more adequate than integer order models for some real world ...initial value problems of fractional differential equations involving a ... 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

... subject to the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ . In this setting, 0 < η < 1 and α ∈ [0, η 1 ) are constants and λ ∈ [0, +∞) is a parameter. By imposing a sufficient ... 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

... the existence of positive solutions to BVP ...ear boundary value problems; finally, by employing the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions ... See full document