[PDF] Top 20 The Existence of Countably Many Positive Solutions for Nonlinear th-Order Three-Point Boundary Value Problems

... has countably many singularities in 0, ...has countably many solutions if a and f satisfy some suitable ...fixed point theorem and Leggett-Williams fixed point theorem in ... See full document

... The boundary value problems with integral boundary conditions occur in the study of nonlocal phenomena in many different areas of applied mathematics, physics and engineering, in ... See full document

... and Hölder’s inequality, the authors showed the existence of countably many positive so- lutions. The other related results can be found in [–]. However, there are almost no papers ... See full document

... multi-point boundary value problems arising from applied mathematics and physics have received a great deal of attention in the literature (for instance, [1]-[4] and references ...the ... See full document

... Higher-order boundary value problems were discussed in many papers in recent years; for instance, see 1–22 and references ...the boundary conditions in the above-mentioned ... See full document

... the existence and multiplicity of nodal solutions for BVP ...the existence of nontrivial or positive solutions of the nonlinear multi-point boundary value ... See full document

... D: Three positive solutions for multipoint one-dimensional p-Laplacian boundary value problems with dependence on the first order ...Second-order boundary ... See full document

... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ... See full document

... Trofimchuk, Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator, Nonlinear ... 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

... x atx admits the maximum principle or the antimaximum principle with respect to the periodic boundary condition. By exploiting Green’s functions, eigenvalues, rotation numbers, and their estimates, he gave several ... See full document

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

... Now, we prove Theorem . by Lemma .-. and the intermediate value theorem. Proof of Theorem . It is obvious that the right-hand side of (.) is continuously de- pendent on the parameter μ, so we need to ... See full document

... the existence and multiplicity of positive solutions for nonlinear differential equations on time scales have been studied by some authors [7-11], and there has been some merging of ... See full document

... fixed point index theorems on cone for differentiable operators are the effective tools to investigate positive solutions of fractional ...fixed point theorems for differentiable operators to ... See full document

... second-order three-point integral boundary value problems at resonance is investigated in this ...intermediate value theorems, we obtain a sufficient condition for the ... See full document

... the existence of solutions to the fractional order boundary value problem ...fixed point theorems such as Banach contraction principle and Schaefer’s fixed point ... See full document

... Su t = ∫ G t s g s u s u s ′ s t ∈ (32) By Ascoli-Arzela Theorem, it is easy to known that the operator S E : → E is a completely continuous op- erator. The BVP (2)-(3) has a solution u = u t ( ) if and only if u is a ... See full document

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...attention. Many people pay attention to the existence and ... See full document

... fixed point theorem of cone expansion and compression of functional type due to Avery et ...the existence of positive solutions for FBVP ...of positive solutions. Here, as usual, ... See full document