[PDF] Top 20 Infinitely many solutions for a boundary value problem with impulsive effects

... There are some common techniques to approach these problems: the fixed point theo- rems [, ], the method of upper and lower solutions [], or the topological degree theory [–]. On the other hand, in the last ... See full document

... the infinitely many critical points theorem of Marano and Motreanu Theorem ...of infinitely many solutions for a two-point boundary value problem with the ... See full document

... of solutions for nonlinear fractional differential equations have been studied extensively by using the theory of coincidence degree, some fixed point theorems, upper-lower solution method, monotone iterative ... See full document

... Our plan of the paper is as follows: in Section , we collect some well-known results to be used in the subsequent sections. In particular, we also present some new properties of Green’s function under the case M =  and ... See full document

... In [], Feng considered the problem (.) with impulsive effects and he obtained the ex- istence and multiplicity of positive solutions. The fundamental tool in this paper is Guo- Krasnosel’skii fixed ... See full document

... We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the ... See full document

... Some fractional equations including both left and right fractional derivatives and having some relations with BVP (.) were also investigated; see, for example, [–]. By the critical point theory, Jiao and Zhou in ... See full document

... positive solutions for higher order boundary value problems with integral boundary conditions on time ...order boundary value problem with integral boundary ... See full document

... nontrivial solutions was proved when α ∈ (   , ...type problem when N = ...following impulsive fractional Dirichlet boundary value ... See full document

... In this paper, the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are obtained. Our results ... See full document

... positive solutions for an infinite three-point boundary value problem of first-order impulsive superlinear singular integro-differential equations on the half line in a Banach space by ... 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

... positive solutions for an infinite boundary value problem of third-order impulsive singular integro-differential equations on the half-line in Banach spaces by means of the fixed point ... See full document

... In this work, we study the existence and multiplicity of positive solutions for a second-order p-Laplacian boundary value problem involving impulsive effects. We establish our main ... See full document

... the impulsive bound- ary value problem () into an equivalent integral equation which is different from the in- tegral equation [] and [] have obtained, and we apply the Schauder and Banach fixed ... See full document

... of impulsive differential equations has been emerging as an important area of investigation in recent years (see ...[–]). Many problems have been investigated for im- pulsive differential equations, ... See full document

... In critical point theory, Clark’s theorem [] asserts the existence of a sequence of neg- ative critical values tending to  for even coercive functionals. It is constantly and effec- tively applied to sublinear ... See full document

... of solutions for an impulsive boundary value problem for fourth-order differential ...weak solutions are ...infinitely many nonzero solutions is proved, using the ... See full document

... this, many authors have studied the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value problems using ... See full document

... extremal solutions between lower and upper solutions of nonlinear differential and impulsive dif- ferential (fractional or non-fractional ordered) equations; see, for instance, ...the impulsive ... See full document