Existence and uniqueness of solutions for a class of nonlinear functional differential equations in Hilbert spaces are established. Sufficient conditions which guarantee the transference of exponential stability from partial differential equations to partial functional differential equations are stu
On the Partial Equiasymptotic Stability in Functional Differential Equations
β Scribed by Alexander O. Ignatyev
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 122 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
A system of functional differential equations with delay dz/dt = Z t z t , where Z is the vector-valued functional is considered. It is supposed that this system has a zero solution z = 0. Definitions of its partial stability, partial asymptotical stability, and partial equiasymptotical stability are given. Theorems on the partial equiasymptotical stability are formulated and proved.  2002 Elsevier Science (USA)
π SIMILAR VOLUMES
The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.