Carregue numa fotografia para ir para os Livros Google.
A carregar... Qualitative theory of parabolic equations Part 1por T. I. Zeleni︠a︡k
Sem etiquetas Nenhum(a) A carregar...
Adira ao LibraryThing para descobrir se irá gostar deste livro. Ainda não há conversas na Discussão sobre este livro. Sem comentários sem críticas | adicionar uma crítica
In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained. Não foram encontradas descrições de bibliotecas. |
Current DiscussionsNenhum(a)Capas popularesNenhum(a)
Google Books — A carregar... GénerosSistema Decimal de Melvil (DDC)515.353Natural sciences and mathematics Mathematics Analysis Differential calculus and equations Differental equations Partial differential equationsClassificação da Biblioteca do Congresso dos EUA (LCC)AvaliaçãoMédia: Sem avaliações.É você?Torne-se num Autor LibraryThing. |