Qualitative Theory of Parabolic Equations Part 1 is popular PDF and ePub book, written by T. I. Zelenyak in 2011-09-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Qualitative Theory of Parabolic Equations Part 1 can be Read Online from any device for your convenience.
Qualitative Theory of Parabolic Equations Part 1 Book PDF Summary
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.
Detail Book of Qualitative Theory of Parabolic Equations Part 1 PDF
- Author : T. I. Zelenyak
- Release : 06 September 2011
- Publisher : Walter de Gruyter
- ISBN : 9783110935042
- Genre : Mathematics
- Total Page : 425 pages
- Language : English
- PDF File Size : 9,8 Mb
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