Exponentially dichotomous linear systems of differential equations with piecewise constant argument

Date

2012-01-01

Author

Akhmet, Marat

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© 2012 L & H Scientific Publishing, LLC.We consider differential equations with piecewise constant argument of generalized type. It is the first time, an attention is given to the exponential dichotomy of linear systems. Bounded, almost periodic and periodic solutions and their stability are discussed. The study is made in such a way that further construction of the theory will follow for ordinary differential equations. The results are illustrated by examples.

Subject Keywords

Almost periodic solutions, Exponential dichotomy, Periodic solutions, Piecewise constant argument

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888172227&origin=inward
https://hdl.handle.net/11511/99047

Journal

Discontinuity, Nonlinearity, and Complexity

DOI

https://doi.org/10.5890/dnc.2012.09.001

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Exponentially dichotomous linear systems of differential equations with piecewise constant argument,” Discontinuity, Nonlinearity, and Complexity, vol. 1, no. 4, pp. 337–352, 2012, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84888172227&origin=inward.