[PDF] Top 20 Existence of a unique bounded solution to a linear second order difference equation and the linear first order difference equation

... how bounded perturbations of the right-hand side of equation (), as well as of coefficient q influence on the boundedness character of the so- lutions of such obtained ...the existence of a ... See full document

... summation equation and a first order nonlinear difference equation which will be often used ...of second-order linear difference equations II: the second case is ... See full document

... the existence of period-two ...of second order difference equations with quadratic terms for which a discrete version of the 16th Hilbert problem does not ...of second order difference ... See full document

... the existence of solutions of multipoint boundary value problems for linear second-order ordi- nary differential and difference equations was initiated by Ilin ...nonlinear ... See full document

... The q-difference equations initiated at the beginning of the twentieth century [–] is a very interesting field in difference equations. In the last few decades, it has evolved into a multidisciplinary subject and plays an ... See full document

... corresponding difference equation and then solving the latter by a process of ...and first used by ...Liebmann.Finite difference methods are numerical methods for approximating the solutions ... See full document

... the existence and uniqueness of solutions of the β -Cauchy problem of sec- ond order β-difference equations were ...for second order linear homogeneous β-difference equations when the ... See full document

... consider equation () on Z -the set of all integers, in the literature on differ- ence ...study bounded solutions to equation (), but also on the whole Z ...the existence of solutions to () ... See full document

... general case. However, the problem for the case of an arbitrary k was left open because of many technical difficulties. This paper is devoted to solving the problem. Namely, fol- lowing the ideas in [], we first present a ... See full document

... of second-order linear and nonlinear difference equations has attracted considerable attention, and we refer the reader to the papers of Diblik et ...the existence of oscillatory and ... See full document

... A linear second-order discrete-delayed equation Δxn −pnxn − 1 with a positive coefficient p is considered for n → ...This equation is known to have a positive solution if p fulfils ... See full document

... fourth- order differential equations (see [–] and the references cited ...the existence of periodic solution for a kind of fourth-order p-Laplacian functional differential equation ... See full document

... positive solution converge, one to zero and the other to a nonnegative number; as well as conditions where one of the subsequences diverges to infinity and the other either converges to a positive number or ... See full document

... finite difference scheme to the solu- tion of a second order ordinary differential equation with the right-hand-side nonlinearly dependent on the first ...the linear growth of ... See full document

... the existence of positive periodic solution of higher-order functional difference equation (2), we will remove the constrains on a and l in ...the existence of positive periodic ... See full document

... According to the important academic value and application background in Quantum Physics (especially in Nuc- lear Physics), engineering mechanics and control theory, the oscillation theory of dynamic equations on time ... See full document

... Theorem 1.2. Suppose f : R → X is an S -almost periodic (or a weakly almost periodic) continuous function, A an infinitesimal generator of a strongly continuous group T : R → L(X, X) such that the conjugate operator group ... See full document

... auxiliary second-order problem and so we recall some results on comparison principles and existence of solutions that were published in ...the second variable is dropped, and then we deal with ... See full document

... A Monthly Double-Blind Peer Reviewed Refereed Open Access International e-Journal - Included in the International Serial Directories International Journal in IT and Engineering.. http:/[r] ... See full document

... Proof. The proof of global asymptotic stability was given in [7, 9]. Here, we want to cor- rect the proof in the case where p < q. As we have shown in [7, 9], in this case, the interval (0, 1) is invariant and ... See full document