[PDF] Top 20 Existence and multiplicity of difference ϕ Laplacian boundary value problems

... p-Laplacian boundary value prob- lem with a positive parameter and established an existence result of three positive solu- tions by the lower and upper solutions method associated with ... See full document

... nonlocal boundary value problem for fractional differential ...some existence and multiplicity results for positive solutions with respect to a cone for our problem (S)-(BC), where f and g are ... See full document

... universal existence theorem for equation ...other boundary condition; an existence and multiplicity result (see Theorem ...the existence and multiplicity of periodic so- lutions ... 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 η ∈ (0, 1), γ ∈ [0, 1), ... See full document

... the existence of solutions of difference equation with nonlinear boundary value ...the existence and multiplicity of solutions of ... 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 positive solutions for the system is ... See full document

... To obtain the existence of symmetric positive solutions of the BVP (.)-(.), the follow- ing Leray-Schauder nonlinear alternative and Krasnoselkii fixed-point theorem are useful. Lemma . [] Let E be a Banach ... See full document

... Boundary value problems, including the φ-Laplacian operator, have received a lot of attention with respect to the existence and multiplicity of ...such problems with ... See full document

... order boundary value problems associated with p-Laplacian ...the existence of positive solutions for third order Sturm–Liouville boundary value problems with ... See full document

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

... The existence of positive and dead core solutions of singular second-order differential equations with a parameter was discussed for Dirichlet boundary conditions in 1, 2 and for mixed and Robin ... See full document

... the existence and multiplicity of solutions for nonlinear discrete prob- lems subject to various boundary value conditions have been widely studied by using dif- ferent methods (see, ... See full document

... years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et ...the existence and multiplicity of ... See full document

... continuous. One of the difficulties here is that the corresponding Green’s function G(t,s) is singular at s = 0. By the use of an approximation method and fixed point theorems on cone, some existence and ... See full document

... This paper is organized as follows. In Section , we give some preliminaries and lem- mas. In Section , we show some theorems on the existence of (positive) solutions of the differential equations (.). Moreover, ... See full document

... the existence of the extremal solutions of a φ-Laplacian dynamic equation coupled with nonlinear boundary functional conditions that include as a particular case the Dirichlet and multipoint ...the ... See full document

... the existence of solutions of problem ()-() under some sign conditions (see [] Theorem ) and when there exist a lower solution and an upper solution, ordered or not, of problem ()-() (see [] Theo- rem ... See full document

... Among them, the p-Laplacian operator has received a lot of attention and the number of related references is huge (we only mention [–] and references therein). For the rela- tivistic operator, it has recently ... See full document

... Dirichlet boundary value problems for p-Laplacian difference equations depending on a parameter ...the existence of at least three solutions when λ lies in two exactly determined open ... See full document

... years, boundary value problems of differential and difference equations have been studied widely and there are many excellent results (see Erbe and Wang [1], Grimm and Schmitt [2], Gustafson and ... See full document