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Generalized Aizerman–Myshkis problem for abstract differential-delay equations

✍ Scribed by M.I. Gil’

Book ID
103847045
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
242 KB
Volume
55
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

On Aizerman-Myshkis problem for systems
On Aizerman-Myshkis problem for systems with delay
✍ M.I. Gil 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 114 KB

Absolute stability conditions for nonlinear retarded systems are derived. It is proved that systems with positive Green's functions (impulse response) satisfy the generalized Aizerman conjecture.

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In this paper, we use existence families and admissible phase spaces to study the Cauchy problem for a class of nonlinear abstract functional differential equations with infinite delay in a unified way. Our main results concern the existence and uniqueness of mild solutions, strong solutions, and cl