[PDF] Top 20 Existence and multiplicity of solutions for some three point nonlinear boundary value problems

... Remark 2.3. Our theorems generalize Theorems 1.1–1.4 and the main results in [9]. In fact, Theorems 1.1–1.4 are corollaries of our theorems. Moreover, the nonlinear term f (u) may have singularity at u = 0, ... See full document

... the existence and multiplicity of positive solutions of problem ...fixed point theorem (see []) and some theorems from the fixed point index theory (from [] and ...the ... 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

... multi-point boundary value problems has received increas- ing ...theorem, nonlinear alternatives of Leray–Schauder, fixed-point theorems, and coincidence de- gree theory, are ... See full document

... Recently, boundary value problems of nonlinear fractional q-difference equations have aroused considerable ...the existence and multiplicity of solutions or positive ... See full document

... present some definitions and back- ground ...the existence and multiplicity positive solutions of the BVP ...5, some examples are given to illustrate our existence ... See full document

... The existence of positive solutions for nonlinear second-order and higher-order multipoint boundary value problems has been studied by several authors, for example, see 1–12 and ... See full document

... fixed point theorem, which will be used frequently in the subsequent ...fixed point theorem is a small variation of the Poincaré-Miranda theorem (see [] for instance), which goes back to Poincaré () and ... 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 ... 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

... multi-point boundary value problems we refer the reader to ...on nonlinear term plays an important role for boundary value ...the existence of positive ... See full document

... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear beam ... See full document

... are some papers dealing with the existence of solutions of nonlinear ini- tial value problems of fractional differential equations by using the techniques of nonlinear ... See full document

... Fixed Point Theorem ...discrete boundary value problems [19], ...of problems in differential and difference equations [3], [12], ... See full document

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... See full document

... a solution of 2.1-1.2. If 2.1 has a solution, denoted by x, then φx Δ ∇ t −yt ≤ 0. There exists a constant τ ∈ ρ0, σ1 such that x Δ τ 0. If it does not hold, without loss of generality, one supposes that x Δ t > 0 for ... 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 ...for ... 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

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

... gave some new results for existence and uniqueness of positive solutions for the above problem in ...forward some necessary basic concepts in ...positive solutions of BVP ... See full document