Linearized stability in functional differential equations with state-dependent delays

F. Hartung, Janos Turi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Abstract

In this paper we prove that a constant steady-state of an autonomous state-dependent delay equation is exponentially stable if a zero solution of a corresponding linear autonomous equation is exponentially stable.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Dynamical Systems and Differential Equations
PublisherAmerican Institute of Mathematical Sciences
Pages416-425
Number of pages10
EditionSPEC. ISSUE
Publication statusPublished - 2001
Event2000 International Conference on Dynamical Systems and Differential Equations - Atlanta, GA, United States
Duration: May 18 2000May 21 2000

Other

Other2000 International Conference on Dynamical Systems and Differential Equations
CountryUnited States
CityAtlanta, GA
Period5/18/005/21/00

Fingerprint

State-dependent Delay
Functional Differential Equations
Differential equations
Delay Equations
Zero

ASJC Scopus subject areas

  • Engineering(all)
  • Control and Optimization
  • Discrete Mathematics and Combinatorics

Cite this

Hartung, F., & Turi, J. (2001). Linearized stability in functional differential equations with state-dependent delays. In Proceedings of the International Conference on Dynamical Systems and Differential Equations (SPEC. ISSUE ed., pp. 416-425). American Institute of Mathematical Sciences.

Linearized stability in functional differential equations with state-dependent delays. / Hartung, F.; Turi, Janos.

Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE. ed. American Institute of Mathematical Sciences, 2001. p. 416-425.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hartung, F & Turi, J 2001, Linearized stability in functional differential equations with state-dependent delays. in Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE edn, American Institute of Mathematical Sciences, pp. 416-425, 2000 International Conference on Dynamical Systems and Differential Equations, Atlanta, GA, United States, 5/18/00.
Hartung F, Turi J. Linearized stability in functional differential equations with state-dependent delays. In Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE ed. American Institute of Mathematical Sciences. 2001. p. 416-425
Hartung, F. ; Turi, Janos. / Linearized stability in functional differential equations with state-dependent delays. Proceedings of the International Conference on Dynamical Systems and Differential Equations. SPEC. ISSUE. ed. American Institute of Mathematical Sciences, 2001. pp. 416-425
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