Die vollständigen Kummerschen Transformationen zweidimensionaler Räume von stetigen Funktionen
Differential equations in metric spaces
Differential equations in metric spaces
We give a meaning to derivative of a function , where is a complete metric space. This enables us to investigate differential equations in a metric space. One can prove in particular Gronwall’s Lemma, Peano and Picard Existence Theorems, Lyapunov Theorem or Nagumo Theorem in metric spaces. The main idea is to define the tangent space of . Let , be continuous at zero. Then by the definition and are in the same equivalence class if they are tangent at zero, that is if By we denote...
Differential equations on the plane with given solutions.
The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
Distributional and entire solutions of ordinary differential and functional differential equations.
Dynamic systems described by differential equations with singularities of the type and their machine solving
Eine Bemerkung zu einer Aufgabe von prof. N. P. Erugin
Eine Bemerkung zur Lösung von Differentialgleichungen mit Parametern bei Anwendung der Lie-Reihen
Elementary Acceleration and Multisummability I
Elementary acceleration and multisummability. I
Essential singular points of solutions of an algebraic differential equation.
Étude des solutions surstables de l'équation de Van der Pol
Examples of bifurcation of periodic solutions to variational inequalities in
A bifurcation problem for variational inequalities is studied, where is a closed convex cone in , , is a matrix, is a small perturbation, a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.
Existence results for first and second order nonconvex sweeping process with delay.
Existence theorems for the matrix Riccati equation .
Factorization Of Polynomial Differential Operators
Finding of the general integral of differential equations by means of Taylor series and finding of some form of non-Cauchy's particular integrals
First integrals for the Duffing-Van der Pol type oscillator.
General solution of overdamped Josephson junction equation in the case of phase-lock.
Generalized analytic functions of Bogdan Ziemian
Definitions, properties, examples and applications of generalized analytic functions introduced by B. Ziemian are presented.