[PDF] Top 20 Positive solutions for a second order p Laplacian impulsive boundary value problem

... the boundary value problem ...consider impulsive effect as a perturbation to the corresponding problem without the impulsive terms, so that we can construct an integral operator ... See full document

... For some recent contributions on fractional differential equations, see for example, [10-28] and the references therein. Especially, in [15], by means of Guo-Krasnosel ’ ski ĭ’ s fixed point theorem, Zhao et al. ... 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 depends on ... See full document

... of positive solutions to prob- lem ...of positive solutions for p-Laplacian dynamic equations on time scales, see ...for positive solutions of m-point integral ... See full document

... existence of multiple positive solutions. In all the above-mentioned articles f is supposed to be nonnegative. When Φ(v) = v, Agarwal et al. [1] as well as Ge and Ren [4] discussed the existence of ... See full document

... The theory and applications of the fourth-order ordinary differential equation are emerg- ing as an important area of investigation; it is often referred to as the beam equation. In [], Sun and Wang pointed out ... See full document

... The organization of this paper is as follows. In Sect. 2, we present some necessary def- initions from fractional calculus theory. In Sect. 3, we prove the main results about the existence of positive solution of ... See full document

... In this paper, by applying a fixed point theorem to verify the existence of at least three positive solutions to a three-point boundary value problem with p-Laplacian. The ... See full document

... where L : dom L ∩ X → Z is a linear operator, N : X → Z is a nonlinear operator, X and Z are Banach spaces. If dim Ker L = dim(Z/ ImL) < ∞ , and ImL is closed in Z, then L will be called a Fredholm mapping of index ... See full document

... multiple solutions to second-order differential equations with φ -Laplacian satisfying periodic, Dirichlet or Neumann boundary ...lower solutions is ... See full document

... In this paper, we study the existence of multiple positive solutions for fourth-order impulsive differential equation with integral boundary conditions and deviating argument. The main ... See full document

... The author is very grateful to Professor Lishan Liu and Professor R. P. Agarwal for their making many valuable comments. The author would like to express her thanks to the editor of the journal and the anonymous ... See full document

... Among the substantial number of works dealing with nonlinear differential equations we mention the boundary value problem (1.1) and (1.2). We emphasize that the nonlinear term f is involved with the ... See full document

... The rest of the paper is organized as follows. In Section , we state some preliminaries and several lemmas in this work. In Section , we give the main results as well as some of their proofs. The existence of multiple ... See full document

... of boundary value problems for dynamic equations on time scales has recently received a lot of attention, see ...in impulsive differential equations, see the monographs of Lakshmikantham et ...for ... See full document

... of solutions of system ...of solutions of impulsive differential equations include fixed point theorems, the upper and lower solutions method, the degree theory, critical point theory and ... See full document

... nonlocal boundary value problems as special cases, so it is more ...the p-Laplacian operator which is ...symmetric positive solutions to ...fourth-order boundary ... See full document

... “Multiple positive solutions of periodic boundary value problems for second order impulsive differential equations, ” ...“Positive solutions Positive ... See full document

... of positive solutions for the fourth-order boundary value problem system with p-Laplacian ...multiple positive solutions for the system is showed ... See full document

... of solutions for some second-order boundary value problem with impulsive effects on an unbounded ...multiple positive solutions for singular Sturm- Liouville ... See full document