[PDF] Top 20 Existence of Periodic and Subharmonic Solutions for Second Order p Laplacian Difference Equations

... the existence of periodic and subharmonic solutions of second-order p-Laplacian di ff erence equations using the critical point ... See full document

... Then K = {, , . . . , m}. Hence, Theorem . implies that system (.) has nonzero kT- periodic solutions (k = , , . . . ,m). For cases (H)() and (H)(), since r = , (.) holds for every k ∈ N . ... See full document

... which is stronger than (.) and is known as the Ambrosetti-Rabinowitz condition (A-R condition). From then on, many authors have devoted their work to the investigation con- cerning the existence of ... See full document

... the existence of a minimizing sequence for the case of coercive potential, or some averaged coercivity conditions of the Ahmad- Lazer-Paul type adding the nonlinearity satisfies some growth conditions, or the ... See full document

... the existence of the solution into the existence of a critical point of the corresponding ...the existence of the periodic solution of ...the periodic solutions of (). The ... See full document

... difference equations with mixed singularities is at this moment very incomplete, and few references can be cited (see [, –]) if compared with the large number of references devoted to singular ... See full document

... q-difference equations initiated at the beginning of the twentieth century [–] is a very interesting field in difference ...q-difference equations is still in the initial stages and many aspects of this ... See full document

... of existence of periodic solution is studied for p-Laplacian Liénard equations with singular at x = 0 and x = ...of second order differential equations with ... See full document

... the solutions of boundary value problems (1.1) with (1.2) for a second-order p-Laplacian difference equation ...the existence and multiple results are ... See full document

... Difference equations, the discrete analog of differential equations, have been widely used in many fields such as computer science, economics, neural network, ecology, cybernet- ics, ...the existence of ... See full document

... a periodic solution for discrete systems, based on operator ...study second-order discrete Hamiltonian systems, with an effective tool named the critical point theory, and one obtained many ... See full document

... the existence positive periodic solutions to second order differential equations with singular nonlinear ...positive solutions under reasonable ... See full document

... in order to unify continuous and discrete ...dynamic equations yields a result concerning a corresponding ordinary differential equation, while choosing the time scale as the set of integers, the same result ... See full document

... In the monograph [], Mawhin and Willem investigated the existence of periodic solutions for problem (.) and obtained a series of results. During the past two decades, inspired by [] the ... See full document

... 5. Application. In this section, we present a few examples of the applica- tions of Theorem 4.2 and other results of this paper. We are going to study the effect of some second-order terms on (2.4). For this ... See full document

... Recently, Torres [18] showed how a weak singularity can play an important role if Schauder’s fixed point theorem is chosen in the proof of the existence of positive peri- odic solution for (1.3). For convenience, ... See full document

... which was initially studied by Lazer and Solimini []. They proved that for λ ≥  (called a strong force condition in the terminology first introduced by Gordon [, ]), a necessary and sufficient condition for the ... See full document

... differential equations serve as basic models to study the dy- namics of processes that are subject to sudden changes in their states, which are often investigated in various fields of science and technology ... See full document

... the existence of positive so- ...of periodic solu- tions for equation ...nontrivial periodic solutions of equation (1) under the following ... See full document

... 0, n ∈ Z, 1.5 has been studied. Other interesting contributions can be found in some recent papers 7–11 and in references contained therein. It is interesting to study second-order nonlinear difference ... See full document