[PDF] Top 20 Positive solutions of second order linear difference equation with variable delays

... Riccati-type equation associated with equation ...of positive solutions of equation (), using the Riccati- type equation associated with equation ...for ... See full document

... x(t) + p(t)x(t − τ ) + q(t)G x(t − σ) = f (t) (2) Also, sufficient conditions are obtained for existence of bounded nonoscillatory solutions of (2). The motivation of the present work come from the above studies. ... See full document

... In this article,we present some new sufficient conditions for the oscillation of all solutions of a second order difference equation with several super-linear neutral terms. The results ... 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 ... See full document

... periodic solutions of second-order difference equations have been studied by many authors, see ...the positive periodic solutions of the ... See full document

... of second-order rational difference ...of positive and negative semicycles for oscillatory solutions of this equation, and the positive equilibrium point 1 of this ... See full document

... ing linear second-order periodic problems plays an important ...the second-order periodic problems are cone-preserving in the ... See full document

... lower solutions and the cone expansion or the compression fixed point theorem, authors [, ] obtained the unique solution and positive solutions to the periodic difference ...ial solutions to ... See full document

... Difference equations are an area of considerable interest. Some classical results can be found, for example, in [–]. There has been some renewed interest in solvable differ- ence equations [–] and systems [, –] ... See full document

... 8. Li, W.T., Cheng, S.S.: Oscillation criteria for a nonlinear difference equation. Comput. Math. Appl. 36, 87–94 (1998) 9. Liu, Z., Kang, S.M., Ume, J.S.: Existence of uncountably many bounded nonoscillatory ... See full document

... of positive periodic solutions for second-order difference ...lower solutions, coincidence degree theory, and critical point theory, a se- ries of existence results of periodic ... See full document

... A class of boundary value problems (BVPs) with integral boundary conditions arise in thermal conduction problems, semiconductor problems, and hydrodynamic problems [–]. Recently, such problems have been investigated by ... See full document

... Through careful analysis we have found that the boundary condition in (.) is nonlinear but it can be linearized and this makes it possible to establish existence results for posi- tive solutions of (.) in ... See full document

... The motivation to consider IDE (1.1) and investigation its some qualitative prop- erties come from the papers of Levin [10], Burton [4], Jin and Luo [9] and the sources that found in the references of this article. Here, ... See full document

... of solutions that converge to the equilibrium de- pends on the character of the roots of the characteristic equation of the linearized equa- tion evaluated at the ... See full document

... asymptotic solutions to second order linear difference equations in the first ...the second case, we leave it to the second part of this paper: Error Bound for Asymptotic ... See full document

... of solutions for some sec- ond and third order difference equations, see, for example, [–] and the references cited ...nonoscillatory solutions and positive solutions for the ... See full document

... difference equation and present an elegant proof based on a combination of theory of linear difference equations and the Banach fixed point ...the equation by using theory of solvability of difference ... See full document

... of solutions for second-order differential delay equation by using a variational ...periodic solutions of second- order differential delay equation using a ... See full document

... Fractional difference equations appear in useful biological models []. Influenced by the results of [–], the existence of one or two positive solutions for fractional difference equations has been studied ... See full document