[PDF] Top 20 Existence and multiple solutions for second order p Laplacian difference equations

... This paper is divided into four parts. First of all, Section 2 states some basic notations and presents variational structure. Second, in Section 3, we shall state and prove our main results by using the ... See full document

... the existence and multiplicity of solutions of operator equations with variational ...in order to obtain multiple solutions by using Morse theory, it is crucial to describe ... See full document

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

... with p-Laplacian have received a lot of attention in recent ...n-dimensional p-Laplacian equation, non-Newtonian fluid theory, and the turbulent flow of gas in porous medium ...the ... See full document

... Second order differential equations with p-Laplacian arise naturally in non-Newtonian mechanics, nonlinear elasticity, glaciology, population biology, combustion theory, and nonlinear ... See full document

... differential equations is to understand the phenomena of nature by developing mathematical ...arbitrary order. Among all, a class of differential equations governed by nonlinear differential ... See full document

... the existence of uncountably many bounded nonoscillatory solutions for equation ...nonoscillatory solutions and study error estimates between the approximation sequences and the bounded ... See full document

... the existence of periodic solutions of nonlinear, second-order difference equations of the form y(t + 2) + by(t + 1) + cy(t) = f (y(t)), where c = 0 and f : R → R is ...even ... See full document

... The theory of dynamic equation on time scales (or measure chains) was initiated by Stefan Hilger in his PhD thesis in  [] (supervised by Bernd Aulbach) as a means of unify- ing structure for the study of differential ... See full document

... Most of the definitions and results on time scales are from the text book by Bohner and Peterson [2] and Lakshmikantham, Sivasundaram and Kaymakcalan [6]. Hete- roclinic solutions to time scale dynamical systems ... See full document

... a difference equation, and numerical solutions of a differential equation have to be obtained by discretizing the differential equation, therefore, the study of periodic solu- tion and connecting orbits of ... See full document

... the existence of periodic solutions and subharmonic solutions for difference equations or differential equations, which show that the critical point theory is an effective method to study ... See full document

... the existence of positive solutions of finite difference equations with different boundary value conditions is investigated in [1–5] and references ...positive solutions of the boundary value ... See full document

... few existence results of periodic solu- tions for neutral differential ...a second-order p-Laplacian neutral functional differential system and obtained the existence of periodic ... See full document

... the p(t)-Laplacian system has been studied by many authors in the last two decades, see, for example, [–] and the references cited ...an existence result under the AR condition as ... 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

... Let P be a cone in a real Banach space ...on P, α be a nonnegative continuous concave functional on P and ψ be a nonnegative continuous functional on P satisfying ψ(λx) ≤ λψ (x) for  ≤ λ ≤ , ... See full document

... and P ⊂ B be a cone in ...on P , let α be a nonnegative continuous concave functional on P , and let ψ be a nonnegative continuous functional on P satisfying ψ (λy) ≤ λψ (y) for all  ≤ λ ≤ , ... See full document

... This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more ... See full document

... Hence it is natural for us to consider the case β = δ + 1. In the present papere, the mo- tivation comes from the recent papers [6, 7, 14, 18]. By virtue of the minimax methods with variational techniques, the ... See full document