[PDF] Top 20 The existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients

... nontrivial solutions for ...a multiplicity result using Clarks theorem when C = 1 and f(x, u) = u 3 ...homoclinic solutions for ...a positive periodic function and s is a positive ... See full document

... the existence and multiplicity of positive solutions for a sixth-order boundary value problem with three variable ...consider boundary ... 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

... certain three point bound- ary value problems for nonlinear ordinary differential equations have been studied by many authors ...of existence of positive solution to third-order ... See full document

... the existence and multiplicity of solutions for the three-point nonlinear bound- ary value problem u (t) + λa(t) f (u) = 0, 0 < t < 1; u(0) = 0 = u(1) − γu(η), where ... See full document

... nth-order three-point boundary value problem is first given, and growth conditions are imposed on nonlinearity f which yield the existence of countably many positive ... See full document

... integral boundary conditions. They include two-, three-, multi-point, and nonlocal BVPs as special ...integral boundary conditions [–] of fourth-order ... See full document

... [6] Guendouz, C., Haddouchi, F. and Benacicha, S. (2018) Existence of Positive Solu- tions for a Nonlinear Third-Order Integral Boundary Value Problem. Annals of the ... See full document

... the existence of solutions of multipoint boundary value problems for linear second-order ordinary differential equations was initiated by Il’in and Moiseev ...studied three-point ... See full document

... The rest of this paper is organized as follows, In Section 2, we present some definitions and back- ground results. For sake of convenience, we also state the fixed point theorems. In Section 3, we construct the Green’s ... See full document

... The main results of this paper are based on the theory of fixed point index in cones 9. Let E be a Banach space and K ⊂ E be a closed convex cone in E. Assume that Ω is a bounded open subset of E with boundary ∂Ω, ... See full document

... is positive near 0. It follows that we consider the fourth-order two- point boundary value problem x″″ + kx″ + lx = f ( t,x ), 0 < t < 1, x ( 0 ) = x (1) = x′ (0) = x′ (1) = 0, ... See full document

... the existence, nonexistence, and multiplicity of positive solutions for the following nonlinear three- point boundary value problems of nth-order ... 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

... where B is a compact linear operator and H : R × E → E is compact with H = o( u ) at u =  uniformly on bounded λ intervals. Krasnoselskii [] has shown that all character- istic values of B which are of odd ... See full document

... the existence of positive solutions for BVP (P), which is irrelevant to the value of f(t, u) when u ≤ 0, we only need to suppose that f(t, u) is bounded from below when u ≥ ... 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 ...the existence of solutions and positive ... See full document

... the nonlinear higher-order boundary value problems have received much attention see Chyan and Henderson ...the existence of positive solution to the following nth-order ... See full document

... the existence of symmetric positive solutions of the BVP ...Leray-Schauder nonlinear alternative and Krasnoselkii fixed-point theorem are ... See full document

... impulsive boundary value problems (IBVPs) became an important area of studies in recent ...the existence of solutions of IBVPs using variational ... See full document