Die Form der Integrale der linearen Differentialgleichungen.
Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme (The Uniform Stability of Singularly Perturbed Discrete and Continuous Boundary Value Problems)
Die Konstruktion asymptotischer Fundamentalsysteme für lineare Differentialgleichungen mit Wendepunkten
Die Kummerschen Transformationen in Räumen mit abgeschlossenen Phasen. Teil A: Allgemeine Eigenschaften
Die Kummerschen Transformationen in Räumen mit abgeschlossenen Phasen. Teil B: Transformationen in Räumen der gegeben Klasse
Die Lösung der linearen Differentialgleichung 2. Ordnung um zwei einfache Singularitäten durch Reihen nach hypergeometrischen Funktionen.
Die möglichen Wachstumsordnungen der Lösungen von linearen Differentialgleichungen.
Die Transformationsfunktion für eine Differentialgleichung zweiter Ordnung
Die vollständigen Kummerschen Transformationen zweidimensionaler Räume von stetigen Funktionen
Diferenciální rovnice v ČSR v letech 1945-1985
Diferenciální rovnice v komplexním oboru [Book]
Diferenciální rovnice v reálném oboru [Book]
Difference schemes for nonlinear BVPs using Runge-Kutta IVP-solvers.
Different types of solvability conditions for differential operators.
Differentiability of perturbed semigroups and delay semigroups
Suppose that A generates a C₀-semigroup T on a Banach space X. In 1953 R. S. Phillips showed that, for each bounded operator B on X, the perturbation A+B of A generates a C₀-semigroup on X, and he considered whether certain classes of semigroups are stable under such perturbations. This study was extended in 1968 by A. Pazy who identified a condition on the resolvent of A which is sufficient for the perturbed semigroups to be immediately differentiable. However, M. Renardy showed in 1995 that immediate...
Differentiable semiflows for differential equations with state-dependent delays.
Differential analogues of the Brück conjecture
We give some growth properties for solutions of linear complex differential equations which are closely related to the Brück Conjecture. We also prove that the Brück Conjecture holds when certain proximity functions are relatively small.
Differential and Integral Equations [Book]
Differential conditions to verify the Jacobian Conjecture
Let F be a polynomial mapping of ℝ², F(O) = 0. In 1987 Meisters and Olech proved that the solution y(·) = 0 of the autonomous system of differential equations ẏ = F(y) is globally asymptotically stable provided that the jacobian of F is everywhere positive and the trace of the matrix of the differential of F is everywhere negative. In particular, the mapping F is then injective. We give an n-dimensional generalization of this result.
Differential equations and algebraic transcendents: french efforts at the creation of a Galois theory of differential equations 1880–1910
A “Galois theory” of differential equations was first proposed by Émile Picard in 1883. Picard, then a young mathematician in the course of making his name, sought an analogue to Galois’s theory of polynomial equations for linear differential equations with rational coefficients. His main results were limited by unnecessary hypotheses, as was shown in 1892 by his student Ernest Vessiot, who both improved Picard’s results and altered his approach, leading Picard to assert that his lay closest to...