Effective reduction of linear ordinary difference equations to equations with constant coefficients
Eigenvalue problems for systems of nonlinear boundary value problems on time scales.
Ein verallgemeinerter Jacobi-Perron-Algorithmus zur Reduktion linearer Differenzengleichungssysteme.
Einbettung von log ... durch Scharen spezieller Krull-Normallösungen.
Équations aux différences associées à des groupes, fonctions représentatives.
Inspiré par un travail de J.-P. Bézivin et F. Gramain sur les systèmes d’équations aux différences, on caractérise les sous-groupes d’un groupe de Lie réel (resp. complexe) , pour lesquels toute fonction continue (resp. entière) telle que l’ensemble des -translatées engendrent un -espace vectoriel de dimension finie, engendrent aussi un -espace vectoriel de dimension finie par - translation. On fait le lien avec les systèmes d’équations aux différences à coefficients constants.
Equations aux différences finies et déterminants d'intégrales de fonctions multiformes.
Error bounds for asymptotic solutions of second-order linear difference equations. II: The first case.
Error Estimates for Miller's Algorithm.
Error evaluation of approximate solutions for sum-difference equations in two variables.
Eventually periodic solutions for difference equations with periodic coefficients and nonlinear control functions.
Exact asymptotics of nonlinear difference equations with levels and
We study a class of nonlinear difference equations admitting a -Gevrey formal power series solution which, in general, is not - (or Borel-) summable. Using right inverses of an associated difference operator on Banach spaces of so-called quasi-functions, we prove that this formal solution can be lifted to an analytic solution in a suitable domain of the complex plane and show that this analytic solution is an accelero-sum of the formal power series.
Exact stability regions for linear difference equations with three parameters.
Existence and global attractivity of periodic solutions in a higher order difference equation
Consider the following higher order difference equation where and are continuous functions in and periodic functions in with period , and is a nonnegative integer. We show the existence of a periodic solution under certain conditions, and then establish a sufficient condition for to be a global attractor of all nonnegative solutions of the equation. Applications to Riccati difference equation and some other difference equations derived from mathematical biology are also given.
Existence and multiplicity of solutions to discrete conjugate boundary value problems.
Existence and uniqueness of nontrivial solutions for nonlinear higher-order three-point eigenvalue problems on time scales.
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations.
Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems.
Existence criteria for positive solutions of a nonlinear difference inequality
This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
Existence, multiplicity and infinite solvability of positive solutions for -Laplacian dynamic equations on time scales.
Existence of a positive solution for an th order boundary value problem for nonlinear difference equations.