Reduction theorems for stability of systems in general spaces
โ Scribed by Peter Seibert
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 471 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A reduction theorem for systems of differential equations with impulse effect at fixed moments in a Banach space is proven. This result allows one to substantially reduce the given system to a much simpler one.
In this paper, we first prove a new fixed-point theorem from which the Kakutani's fixed-point theorem in locally convex topological vector spaces is immediately extended to H-spaces. Then, we establish a new existence theorem of equilibrium for generalized games in H-spaces, by applying our fixed-po
In Part I of this paper, Popov's Theorem PI is ~rst introduced and then a new Theorem I is formulated. The proof is given in Appendix I. An illustrative example shows that the result obtained from Theorem I agrees with that obtained from Lur'e's Theorem. In Part II the linear part transfer function