Loading...
Please wait, while we are loading the content...
Similar Documents
Asymptotic Stability of Trivial Solution of Differential Equations with Unbounded Nonlinearity, in Banach Spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Romai, J. Trenogin, Vladilen Aleksandrovich |
| Copyright Year | 2007 |
| Abstract | This year the mathematical scientific community in Russia celebrated the 150-th birthday of the outstanding mathematician academician of St-Petersburg Academy Alexandr Mikhaylovich Lyapunov. International Congress of Nonlinear Analysis in June 2007 was devoted to this jubilee. On World Congress ICIAM this significant event was marked in reports of the minisymposium organized by our scientific group. Practically during all my life I worked in branching and bifurcation theory of solutions of nonlinear equations, one of initiator of which was Academician Lyapunov (see, for example, [1-2]). Another among his important contribution to the mathematical science was the creation of contemporary stability theory. Before preparing the 150-th Lyapunov jubilee I began a series of articles, trying to over-understand some of this fundamental results in stability theory from the functional analysis point of view. This allows to carry over the Lyapunov approach from ordinary differential equations to functional-differential and integro-partial-differential equations. At first our attention is payed to the generalization of the Lyapunov theorem |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://profs.info.uaic.ro/~jromai/romaijournal/arhiva/2007/1/RJv3n1-Trenogin.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
