On a vector multipoint boundary value problem
On a weighted boundary value problem for a system of singular functional-differential equations.
On absolute stability of nonlinear systems with small delays.
On algebraic approach in quadratic systems.
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
On algebraic sets invariant by one-dimensional foliations on
We consider the problem of extending the result of J.-P. Jouanolou on the density of singular holomorphic foliations on without algebraic solutions to the case of foliations by curves on . We give an example of a foliation on with no invariant algebraic set (curve or surface) and prove that a dense set of foliations admits no invariant algebraic set.
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 automorphic solutions of linear operational-differential equations.
On almost periodic solutions of the differential equation in Hilbert spaces.
On almost specification and average shadowing properties
We study relations between the almost specification property, the asymptotic average shadowing property and the average shadowing property for dynamical systems on compact metric spaces. We show implications between these properties and relate them to other important notions such as shadowing, transitivity, invariant measures, etc. We provide examples showing that compactness is a necessary condition for these implications to hold. As a consequence, we also obtain a proof that limit shadowing in...
On Almost-periodical Solutions of an Equation
On almost-Riemannian surfaces
An almost-Riemannian structure on a surface is a generalized Riemannian structure whose local orthonormal frames are given by Lie bracket generating pairs of vector fields that can become collinear. The distribution generated locally by orthonormal frames has maximal rank at almost every point of the surface, but in general it has rank 1 on a nonempty set which is generically a smooth curve. In this paper we provide a short introduction to 2-dimensional almost-Riemannian geometry highlighting its...
On an abstract evolution equation with a spectral operator of scalar type.
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 antiperiodic type boundary value problem for first order linear functional differential equations
Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem are established, where is a linear bounded operator, , , and . The question on the dimension of the solution space of the homogeneous problem is discussed as well.
On an application of the generalized Floquet theory to the transformation of the equation into its associated equation
On an application of the Stone theorem in the theory of differential equations
On an asymptotic behaviour of solutions of the differential equation of the fourth order