On a boundary value problem of N. I. Ionkin typeDifferential Equations - Tập 49 - Trang 1233-1245 - 2013
N. B. Kerimov
We study the spectral properties of a second-order differential operator with regular but not strongly regular boundary conditions. We show that the system of root functions of this operator contains infinitely many associated functions. We prove that a specially chosen system of root functions of this operator forms a basis in the space L
p
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On invariants of discrete dynamical systemsDifferential Equations - Tập 46 - Trang 758-761 - 2010
V. Yu. Tyshchenko
We study the properties of invariants of discrete dynamical systems. The case in which discrete dynamical systems admit a discrete symmetry is considered.
Matrix Linearization of Functional-Differential Equations of Point Type and Existence and Uniqueness of Periodic SolutionsDifferential Equations - Tập 54 - Trang 1271-1284 - 2018
L. A. Beklaryan, F. A. Belousov
We study ω-periodic solutions of a functional-differential equation of point type that is ω-periodic in the independent variable. In terms of the right-hand side of the equation, we state easy-to-verify sufficient conditions for the existence and uniqueness of an ω-periodic solution and describe an iteration process for constructing the solution. In contrast to the previously considered scalar lin...... hiện toàn bộ