[PDF] Top 20 Asymptotic constancy of solutions of systems of difference equations

... After, we have studied the existence of convergent solutions of nonlinear systems whose linear part has a dichotomy See 13, 14, 16-18] These results are obtained under absolutely summabl[r] ... See full document

... In this paper, the problem of the existence and growth of solutions of complex differ- ence equations will be studied. The fundamental results and the standard notations of the Nevanlinna value distribution ... See full document

... some systems of complex difference equations and obtained some existence theorems and estimates on the proximity function and the counting function of solutions of some systems of complex ... See full document

... Let R be the real number axis. Suppose that G, H are C m maps from R 2n+3 to R. In this note, we discuss the system of finite difference equations G(x, f (x), f (x + 1), . . . , f (x+n), g(x), g(x + 1), . . . , g(x ... See full document

... non-equivalent systems that should be focused on. They list such systems as pairs k, l, where k and l make reference to the number of the corresponding equation in their Tables  and ...equations ... See full document

... difference equations during the life of Ric- cati and that nobody has seen a paper written by him on the ...difference equations motivated me to conduct a con- siderable, but, of course, not thorough, ... See full document

... Difference equations appear naturally as discrete analogues and as numerical solutions of differential and delay differential equations having applications in biology, ecology, economy, physics, and so ... See full document

... Nowadays, continuous-time models for systems arising in science, engineering business, and social sciences have been widely studied by many researchers. However, it is some- times necessary to discretize the ... See full document

... entire solutions and the form of transcendental meromorphic solutions of some types of systems of higher-order complex difference equations are ...of solutions of complex q-difference ... See full document

... It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for ... See full document

... linear systems containing a small parameter in the leading term has been studied in ...of asymptotic behavior of the solutions of IDEs when the perturbation is varying in time and affects both the ... See full document

... for solutions to a special summation equation and a first order nonlinear difference equation which will be often used ...for asymptotic solutions of second-order linear difference equations II: ... See full document

... differential equations and its discretizations in the framework of the time-scale theory are discussed in 8, 19 ...differential equations with a proportional delay we can mention at least 9, 20–22 and the ... See full document

... investigation, asymptotic, oscillatory and bounded solutions of general second order difference equations under advanced setup, we come across specific conditions on the special type of ... See full document

... parabolic equations and systems of equations in divergence form, asymptotic theory and asymptotic methods based on different ...Constructed asymptotic representation of ... See full document

... and asymptotic behavior of solutions of neutral difference equations, see [1]-[5], and the references cited ...and asymptotic behavior of solu- tions of neutral difference ... See full document

... the asymptotic behavior of solutions of the mentioned ...the asymptotic behavior of solutions of non-delay systems of dynamic equations or of delay dynamic ... See full document

... investigated asymptotic behavior of solutions to initial value problems in discrete fractional calculus ...dynamical systems, and the paper by Wu and Baleanu [] may be consulted to see the ... See full document

... For oscillation criteria regarding Equations (1.1)-(1.3), we refer to [2]-[12] and the references cited therein. In Section 2, we present some basic lemmas. In Section 3, we establish oscillation criteria for ... See full document

... the rotation-controlling magnitude of ρ. It shows that both noise and rotation terms have to be chosen carefully in order not to destabilize the long-term dynamics by partially drift-implicit θ-methods (4.2). Anyway, ... See full document