Almost periodic solutions of the linear differential equation with piecewise constant argument

Date

2009-10-01

Author

Akhmet, Marat

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The paper is concerned with the existence and stability of almost periodic solutions of linear systems with piecewise constant argument where t∈R, x ∈ Rn [·] is the greatest integer function. The Wexler inequality [1]-[4] for the Cauchy's matrix is used. The results can be easily extended for the quasilinear case. A new technique of investigation of equations with piecewise argument, based on an integral representation formula, is proposed. Copyright © 2009 Watam Press.

Subject Keywords

Almost periodic solutions, And phrases. linear systems, Piecewise constant argument, Stability

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=73049094583&origin=inward
https://hdl.handle.net/11511/98976

Journal

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Almost periodic solutions of the linear differential equation with piecewise constant argument,” Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, vol. 16, no. 5, pp. 743–753, 2009, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=73049094583&origin=inward.