[PDF] Top 20 Positive Solutions of a Nonlinear Three-Point Integral Boundary Value Problem

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

... of positive solutions for a third-order differential equation with three-point boundary conditions and a positive ...fixed point theory, we establish the existence and ... See full document

... fixed point theorem, the existence of positive solutions was ...for boundary value prob- lem ...fixed point theorem. In this paper, we will study the existence of three ... See full document

... A quasilinearization technique due to Lakshmikantham [9] is applied to obtain an analytic approximation of the solution of the problem (1.1-1.2). In fact, we obtain sequences of upper and lower solutions ... See full document

... Next, we present a fixed point theorem established in [10], in which Bai and Ge generalized the Leggett-Williams’ fixed point theorem. The generalization is achieved by introducing on cone of continuous ... See full document

... symmetric positive solutions and establishes corresponding iterative schemes for a second-order boundary value problem with integral boundary ... See full document

... singular three-point boundary value problems for delay higher-order dynamic equations on time ...of positive solutions are obtained by utilizing the fixed point theorem of ... See full document

... The main tools are the priori estimate method and the Leray-Schauder fixed point theorem. However, there are few papers dealing with the existence of positive solutions when φ satisfies H1 and f ... See full document

... u 000 (t) + a(t)f (u(t)) = 0, 0 < t < 1 (1.7) u(0) = u 0 (0) = 0, u 0 (1) = αu 0 (η) (1.8) where 0 < η < 1 and 1 < α < η 1 , f : [0, 1] × R → R is given function. The existence of at least one ... See full document

... multiple solutions to the three-point boundary value problem u t atft, ut, u t 0, 0 < t < 1; u0 u 0 0; u 1 − αu η λ, where η ∈ 0, 1/2, α ∈ 1/2η, 1/η are constants, λ ∈ 0, ∞ ... See full document

... The rest of this paper is organized as follows. In Section , we recall some useful defini- tions and properties, and present the properties of the Green’s function. In Section , we give some sufficient conditions for the ... See full document

... Obviously, ut is a solution of 1.5 if and only if ut is a fixed point of operator T. Theorems 2.4 and 2.5 require the operator T to be completely continuous and cone preserving. If T is continuous and compact, ... See full document

... of positive solutions for boundary value problems with p-Lapla- cian in Banach ...equivalent integral equation easily and therefore a Green ’ s function exists, so we can easily prove ... See full document

... Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear ...RY: Positive solutions of a ... See full document

... for positive solution of BVP (1.3) are established by using fixed point index ...fixed point theorem in cone, we will establish the existence and multiplicity positive solution of BVP ... See full document

... fixed point theorem to guarantee the existence multiple positive solutions for BVP ...fixed point theorem, we establish the existence of at least three positive solutions ... See full document

... fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary value ... See full document

... of positive solutions to the BVP ...of nonlinear fractional differential equation with integral boundary condi- ...of positive solutions to the BVP (1) has not been ...an ... See full document

... fractional boundary value ...of solutions for systems of fractional differential equations, and ob- tained some excellent ...of positive solutions for the system of fractional ... See full document

... a positive eigenvector. Moreover, if A + (∞) has no positive eigenvectors cor- responding to an eigenvalue greater than one, then there exists R  >  such ... See full document