Asymptotische Formeln für die Lösungnen der Differentialgleichung
-approximate solutions of second-order singular ordinary differential equations.
Canonical form transformation of second order differential equations with Lie symmetries.
Cases when the use of the analytic method for solving differential equations is better than the use of numerical ones
Charakterisierung der Differentiale mit geradlinigen Isoklinen.
Classification analytique des équations différentielles non linéaires résonnantes du premier ordre
Closed-form expression for Hankel determinants of the Narayana polynomials
We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana...
Coefficient estimates in subclasses of the Carathéodory class related to conical domains.
Common general practical method for solving ordinary and partial differential equations
Compactness and existence results for ordinary differential equations in Banach spaces.
Compléments aux traités de Kamke et de Murphy. III. Quelques critères suffisantes de l'intégrabilité effective de léquation de Riccati avec deux coefficients arbitraires.
Consequences of the meromorphic equivalence of standard matrix differential equations.
In this article we investigate the question [of] how meromorphic differential equations can be simplified by meromorphic equivalence. In the case of equations of block size 1, which generalizes the case of distinct eigenvalues, we identify a class of equations which are simplest possible in the sense that they carry the smallest number of parameters whithin their equivalence classes. We also discuss conditions under which individual equations can be simplified. Particular attention is paid to the...
Constructive solution of coupled second order delay differential equations with variable coefficients.
Continuous transformations of differential equations with delays.
Decomposing a 4th order linear differential equation as a symmetric product
Let L(y) = 0 be a linear differential equation with rational functions as coefficients. To solve L(y) = 0 it is very helpful if the problem could be reduced to solving linear differential equations of lower order. One way is to compute a factorization of L, if L is reducible. Another way is to see if an operator L of order greater than 2 is a symmetric power of a second order operator. Maple contains implementations for both of these. The next step would be to see if L is a symmetric product of...
Decomposition of homogeneous vector fields of degree one and representation of the flow
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 Transformationsfunktion für eine Differentialgleichung zweiter Ordnung