Matrix solutions of the functional equation of the gamma function.
Maximum principles for a family of nonlocal boundary value problems.
Meromorphic solutions of q-shift difference equations
We establish a q-shift difference analogue of the logarithmic derivative lemma. We also investigate the value distributions of q-shift difference polynomials and the growth of solutions of complex q-shift difference equations.
Minimallösungen von Differenzengleichungen in quasinormierten Abelschen Gruppen.
Mittelwertungleichungen für Lösungen gewisser Differenzgleichungen.
Modelling AIDS epidemic and treatment with difference equations.
Monotone iterative technique for partial dynamic equations of first order on time scales.
Monotone solutions of a higher-order neutral difference equation.
Monotonicity and comparison results for nonnegative dynamic systems. Part II: Continuous-time case
This second Part II, which follows a first Part I for the discrete-time case (see [DijkSl1]), deals with monotonicity and comparison results, as generalization of the pure stochastic case, for stochastic dynamic systems with arbitrary nonnegative generators in the continuous-time case. In contrast with the discrete-time case the generalization is no longer straightforward. A discrete-time transformation will therefore be developed first. Next, results from Part I can be adopted. The conditions,...
Monotonicity and comparison results for nonnegative dynamic systems. Part I: Discrete-time case
In two subsequent parts, Part I and II, monotonicity and comparison results will be studied, as generalization of the pure stochastic case, for arbitrary dynamic systems governed by nonnegative matrices. Part I covers the discrete-time and Part II the continuous-time case. The research has initially been motivated by a reliability application contained in Part II. In the present Part I it is shown that monotonicity and comparison results, as known for Markov chains, do carry over rather smoothly...
Monotonicity of the period map of a non-Hamiltonian center.
Multiple Laurent series and difference equations.
Multiple Laurent series and fundamental solutions of linear difference equations.
Multiple nonnegative solutions for BVPs of fourth-order difference equations.
Multiple solutions to a boundary value problem for an n-th order nonlinear difference equation.
Multipoint boundary value problems for discrete equations
In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
Multisommabilité des séries entières solutions formelles d’une équation aux -différences linéaire analytique
Nous introduisons une version -analogue du procédé d’accélération élémentaire d’Écalle-Martinet-Ramis et définissons la notion de série entière -multisommable. Nous montrons que toute série entière solution formelle d’une équation aux -différences linéaire analytique est -multisommable.
Multisummability for some classes of difference equations
This paper concerns difference equations where takes values in and is meromorphic in in a neighborhood of in and holomorphic in a neighborhood of 0 in . It is shown that under certain conditions on the linear part of , formal power series solutions in are multisummable. Moreover, it is shown that formal solutions may always be lifted to holomorphic solutions in upper and lower halfplanes, but in general these solutions are not uniquely determined by the formal solutions.