On the Darboux transformation. II.
Automorphisms of the family of all Sturm-Liouville equations are investigated. The classical Darboux transformation arises as a particular case of a general result.
On the existence of series solution of differential equations of generalized order
On the growth and factorization of entire solutions to algebraic differential equations.
On the symmetries of the differential equation governing damped harmonic vibration.
On the theory of phases of academican O. Borůvka
On the transformation theory of ordinary second-order linear symmetric differential expressions
On the zeros of some special functions: differential equations and Nicholson-type formulas
On transformations of two linear second order differential equations
On transformations of ordinary differential equations
The paper describes the general form of an ordinary differential equation of the order which allows a nontrivial global transformation consisting of the...
Operational Calculi for the Euler Operator
2000 Mathematics Subject Classification: 44A40, 44A35A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...
Operational calculus and differential equations with infinitely smooth coefficients.
Operational calculus for the continuous Legendre transform with applications.
Operational identities for circular and hyperbolic functions and their generalizations.
Operational Methods in the Environment of a Computer Algebra System
This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...