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2. Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)

Author

Alexandr Fischer

Subjects
Almost periodic function, symbols.namesake, Fourier transform, Differential equation, General Mathematics, Spectrum (functional analysis), Mathematical analysis, symbols, Periodic sequence, Type (model theory), Constant (mathematics), Fourier series, Mathematics
Abstract

This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations.

Published
2004

5. Approximation of Periodic Solutions of a System of Periodic Linear Nonhomogeneous Differential Equations.

Author

Alexandr Fischer

Subjects
APPROXIMATION theory, FUNCTIONAL analysis, DIFFERENTIAL equations, LINEAR systems, MATHEMATICS
Abstract

Abstract The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions remain valid. [ABSTRACT FROM AUTHOR]

Published
2004

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