Global existence and boundedness for quasi-variational systems.
Global transformations of linear differential equations.
Herleitung einer integrabeln Differentialgleichung mittels der Liouville'schen Methode der Differentiation mit belibigem Zeiger
Higher order singular perturbation method for linear differential equations in Banach spaces
Higher-order differential equations represented by connections on prolongations of a fibered manifold.
The main goal of the present work is a generalization of the ideas, constructions and results from the first and second-order situation, studied in [63], [64] to that of an arbitrary finite-order one. Moreover, the investigation extends the ideas of [65] from the one-dimensional base X corresponding to O.D.E.
Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung
Hypernumbers. Part I. Algebra
Infinite series identities from modular transformation formulas that stem from generalized Eisenstein series
Integrability of a linear center perturbed by a fourth degree homogeneous polynomial.
In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.
Intégration d'un système d'équations aux différentielles totales
Intégration, sous forme finie, de trois espèces d'équations différentielles linéaires, à coefficients variables.
Laplace Adomian decomposition method for solving a fish farm model
In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.
Lappo-Danilevski systems under Lyapunov transformations.
Lemmes de Hensel pour les opérateurs différentiels, II
Ľéquation associée dans la théorie des transformations des équations différentielles du second ordre
Les bonnes moyennes uniformisantes et une application à la resommation réelle
Mean value theorems for linear and semi-linear rotation invariant operators
Mean-periodic operational calculi
Elements of operational calculi for mean-periodic functions with respect to a given linear functional in the space of continuous functions are developed. Application for explicit determining of such solutions of linear ordinary differential equations with constant coefficients is given.
Modelling transfer functions with nonzero initial conditions
Monotone convolution semigroups
We study how a property of a monotone convolution semigroup changes with respect to the time parameter. Especially we focus on "time-independent properties": in the classical case, there are many properties of convolution semigroups (or Lévy processes) which are determined at an instant, and moreover, such properties are often characterized by the drift term and Lévy measure. In this paper we exhibit such properties of monotone convolution semigroups; an example is the concentration of the support...