Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind
Les Équations Différentielles Implicites Par Rapport À La Dérivée Des Famillies De Fonctions Définies Paramétriquement
Les équations différentielles implicites par rapport à la dérivée des famillies de fonctions définies paramétriquement.
Lie systems: theory, generalisations, and applications [Book]
Linear and Riccati matrix equations.
Linear ODEs and -modules, solving and decomposing equations using symmetry methods.
Liouvillian first integrals of second order polynomial differential equations.
Local equivalence of some maximally symmetric -distributions II
We show the change of coordinates that maps the maximally symmetric -distribution given by solutions to the and generalised Chazy equation to the flat Cartan distribution. This establishes the local equivalence between the maximally symmetric and generalised Chazy distribution and the flat Cartan or Hilbert-Cartan distribution. We give the set of vector fields parametrised by solutions to the and generalised Chazy equation and the corresponding Ricci-flat conformal scale that bracket-generate...
Matrix exponentials and inversion of confluent Vandermonde matrices.
Models of learning and the polar decomposition of bounded linear operators.
m-Reduction of ordinary differential equations
Multi-parameter symmetries of first order ordinary differential equations.
New exact traveling wave solutions of the ()-dimensional Zakharov-Kuznetsov (ZK) equation.
Nonlinear differential equations and algebraic systems.
Nonlinear separable equations in linear spaces and commutative Leibniz algebras
We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section 1 contains...
Note sur un theoreme de Michel Petrovitch
Note sur une classe d'équations différentielles
Note to the paper "A model of competition" (Appl. Math. (Warsaw) 39 (2012), 293-303)
Nouvelle théorie des solutions singulières des équations différentielles du premier ordre et du second degré entre deux variables
O polynomických řešeních homogenní lineární diferenciální rovnice druhého řádu