Addendum to: “Alternative analysis generated by a differential equation”.
Addendum to "On Meromorphic Solutions of Algebraic Differential Equations".
Additive groups connected with asymptotic stability of some differential equations
The asymptotic behaviour of a Sturm-Liouville differential equation with coefficient is investigated, where and is a nondecreasing step function tending to as . Let denote the set of those ’s for which the corresponding differential equation has a solution not tending to 0. It is proved that is an additive group. Four examples are given with , , (i.e. the set of dyadic numbers), and .
Algebraic solutions of the Lamé equation
In this paper we give a summary of joint work with Alexa van der Waall concerning Lamé equations having finite monodromy. This research is the subject of van der Waall's Ph. D. thesis [W].
Algunas Propiedades De Regularidad De Las Ecuaciones Diferenciales Complejas.
An existence theorem for certain solutions of algebraic differential equations in sectors
An existence theorem for solutions of -th order nonlinear differential equations in the complex domain
An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
We give a proof of the fact that any holomorphic Pfaffian form in two variables has a convergent integral curve. The proof gives an effective method to construct the solution, and we extend it to get a Gevrey type solution for a Gevrey form.
An ultradiscrete matrix version of the fourth Painlevé equation.
Analytic First Integrals of Ordinary Differential Equations
Analytic invariants for the resonance
Associated to analytic Hamiltonian vector fields in having an equilibrium point satisfying a non semisimple resonance, we construct two constants that are invariant with respect to local analytic symplectic changes of coordinates. These invariants vanish when the Hamiltonian is integrable. We also prove that one of these invariants does not vanish on an open and dense set.
Analytic solutions of a second-order functional differential equation with a state derivative dependent delay
This paper is concerned with a second-order functional differential equation of the form with the distinctive feature that the argument of the unknown function depends on the state derivative. An existence theorem is established for analytic solutions and systematic methods for deriving explicit solutions are also given.
Analytic solutions of -th order differential equations at a singular point.
Anharmonic oscillators with infinitely many real eigenvalues and -symmetry.
Anwendung der Methode von Šapkarev zum Auflosen Einige Randwertaufgaben für die Lineare Komplexe Differentialgleichung II Ordnung
Appendice à l’article d’Eduardo Corel : Calcul des réseaux de Levelt
Un algorithme est présenté pour calculer en toute généralité le « réseau de Levelt » pour un réseau donné.
Application of uniform asymptotics method to analyzing the asymptotic behaviour of the general fourth Painlevé transcendent.
Application of uniform asymptotics to the fifth Painlevé transcendent.
Applications de la théorie de Nevanlinna p-adique.
Asymptotic analysis and special values of generalised multiple zeta functions
This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic...