[PDF] Top 20 Solutions of 2th Order Boundary Value Problem for Difference Equation via Variational Method

... map method 7 , Leray-Schauder fixed point theorem 2, 10 , and the upper and lower solution method 3 ...the variational technique combining with the critical point theory 11 developed in the recent ... See full document

... has been studied by many authors; see [–] and the references therein. Here y(k) = y(k +)–y(k) for all k ∈ Z, p, q : I → R are functions, f : I × R → R is a continuous function. In , Agarwal and O’Regan [] ... See full document

... impulsive boundary value problems for differential equations were intensively studied by topological methods over the past ...of solutions of impulsive problems was also treated by the ... See full document

... Al-Askar, “On the Existence of Positive Solutions for a Boundary Value Problem of Fracntional Order,” International Journal of Mathematical Analysis, Vol.. Lü, “Positive Solutions for Bo[r] ... See full document

... In the proof of Theorem 3.5, we avoided using the Scorza-Dragoni theorem [20], the Arzelà-Ascoli theorem, the modulus of continuity of the function G, etc. By using Egoroff ’s theorem, we have replaced this method ... See full document

... of variational iteration method has been successfully extended to obtain approximate solutions of some higher order boundary value ...the method by testing three different ... See full document

... discrete boundary value conditions have been widely studied in the literature; see, for example, [1–11] and the references ...semipositone boundary value ... See full document

... So boundary value problems for fractional q-difference equations have become of importance and the existence of positive solutions has been studied by a great number of researchers; see [–] and ... See full document

... The variational approach, together with the critical point theory, is one of the important methods in the study of two-point boundary value problems of ordinary differential equa- tion [–], as well ... See full document

... asymptotic solutions of the singularly perturbed equations the method of matching outer and inner solution is applied [10-16] and the rule of matching of the outer and inner solution was given by Van ...the ... See full document

... positive solutions for some second-order differential equation subject to periodic boundary ...Our method employs a Leggett-Williams norm-type theorem for coincidences due to O’Regan and ... See full document

... satisfying five kinds of different boundary value conditions. This article shows the existence of positive solutions for positone and semi-positone type. The nonlinear term may be singular. Two ... See full document

... of solutions of the boundary value problem of ...that solutions of boundary value problem ...difference equation containing both advance and ...difference ... See full document

... Although applications of the minimax methods in the field of the difference BVP have attracted some scholarly attention in the recent years, efforts in applying Morse theory to the difference BVP are scarce. The main ... See full document

... extend variational iteration method (VIM) to find approximate solutions of linear and nonlinear thir- teenth order differential equations in boundary value ...The method ... 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

... of solutions of a second-order difference equation with summation boundary value problem at resonance by using intermediate value theo- rems and Schaefer’s fixed ... See full document

... Periodic solutions for second order differential ...Positive solutions to a system of second-order nonlocal boundary value ... See full document

... of solutions to boundary value problems involving differential equations with deviating arguments (DEDA) ...to boundary value problems for second and higher order or- dinary ... See full document

... piston problem to the Euler equa- tions for compressible flows was started by Chen ...free boundary value problem of the second-order ordinary differential equation in the ... See full document