### 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 language | English |
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Title of host publication | Proceedings of the International Conference on Dynamical Systems and Differential Equations |

Publisher | American Institute of Mathematical Sciences |

Pages | 416-425 |

Number of pages | 10 |

Edition | SPEC. ISSUE |

Publication status | Published - 2001 |

Event | 2000 International Conference on Dynamical Systems and Differential Equations - Atlanta, GA, United States Duration: May 18 2000 → May 21 2000 |

### Other

Other | 2000 International Conference on Dynamical Systems and Differential Equations |
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Country | United States |

City | Atlanta, GA |

Period | 5/18/00 → 5/21/00 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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.

}

TY - GEN

T1 - Linearized stability in functional differential equations with state-dependent delays

AU - Hartung, F.

AU - Turi, Janos

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84901845347&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901845347&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84901845347

SP - 416

EP - 425

BT - Proceedings of the International Conference on Dynamical Systems and Differential Equations

PB - American Institute of Mathematical Sciences

ER -