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Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales

Abstract

In this paper, we introduce a class of linear time-varying dynamic-algebraic equations (LTVDAE) of tractability index one on ar- bitrary time scales. We propose a procedure for the decoupling of the considered class LTVDAE. Explicit formulae are written down both for transfer operator and the obtained decoupled system. A projector ap- proach is used to prove the main statement of the paper and sufficient conditions of decoupling are also written down explicitly.

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Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Language:
English
Publication year:
2024
Bibliographic description:
Kryzhevich S., Georgiev S.: Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales// / : , 2024,
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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