On a transformation of solutions of the differential equation with a complex coefficient of a real variable
On a type of linear differential equations in Fréchet spaces
On a uniqueness theorem in the inverse Sturm-Liouville problem
On a vector multipoint boundary value problem
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
On algebraic solutions of algebraic Pfaff equations
We give a new proof of Jouanolou’s theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
On aliases of differential equations
Theory of chemical reactions in complex mixtures exhibits the following problem. Single reacting species follow an intrinsic kinetic law. However, the observable quantity, which is a mean of individual concentrations, follows a different law. This one is called «alias» of intrinsic kinetics. In this paper the phenomenon of alias of uniform families of differential equations is discussed in general terms.
On almost periodicity defined via non-absolutely convergent integrals
We investigate some properties of the normed space of almost periodic functions which are defined via the Denjoy-Perron (or equivalently, Henstock-Kurzweil) integral. In particular, we prove that this space is barrelled while it is not complete. We also prove that a linear differential equation with the non-homogenous term being an almost periodic function of such type, possesses a solution in the class under consideration.
On an algebraic structure of a group of phases
On an almost periodicity criterion of solutions for systems of nonhomogeneous linear differential equations with almost periodic coefficients
On an application of the generalized Floquet theory to the transformation of the equation into its associated equation
On an asymptotic behaviour of solutions of the differential equation of the fourth order
On an even order neutral differential inequality.
On an infinite-dimensional differential equation in vector distributions with discontinuous regular functions on the right hand side.
On an inverse problem in the theory of thermistors
An inverse problem for a nonlocal problem describing the temperature of a conducting device is studied.
On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition.
On an optimal setting of constant delays for the D-QSSA model reduction method applied to a class of chemical reaction networks
We develop and test a relatively simple enhancement of the classical model reduction method applied to a class of chemical networks with mass conservation properties. Both the methods, being (i) the standard quasi-steady-state approximation method, and (ii) the novel so-called delayed quasi-steady-state approximation method, firstly proposed by Vejchodský (2014), are extensively presented. Both theoretical and numerical issues related to the setting of delays are discussed. Namely, for one slightly...
On Apery's differential operator
On Approximate Solutions of Differential Equations in Banach Spaces.
On asymptotic behavior of solutions of second order linear differential equations.