Qualitative Theory of Parabolic Equations, Part 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Qualitative Theory of Parabolic Equations, Part 1 write by T. I. Zelenyak. This book was released on 2011-09-06. Qualitative Theory of Parabolic Equations, Part 1 available in PDF, EPUB and Kindle. 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.
Qualitative Theory of Parabolic Equations, Part 1
Qualitative Theory of Parabolic Equations, Part 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Qualitative Theory of Parabolic Equations, Part 1 write by M. P. Vishnevskii. This book was released on . Qualitative Theory of Parabolic Equations, Part 1 available in PDF, EPUB and Kindle.
Qualitative Theory of Parabolic Equations
Qualitative Theory of Parabolic Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Qualitative Theory of Parabolic Equations write by T.I. Zelenyak. This book was released on 1997. Qualitative Theory of Parabolic Equations available in PDF, EPUB and Kindle.
Handbook of Differential Equations: Ordinary Differential Equations
Handbook of Differential Equations: Ordinary Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Handbook of Differential Equations: Ordinary Differential Equations write by A. Canada. This book was released on 2006-08-21. Handbook of Differential Equations: Ordinary Differential Equations available in PDF, EPUB and Kindle. This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wide audience. These ideas faithfully reflect the spirit of this multi-volume and hopefully it becomes a very useful tool for reseach, learing and teaching. This volumes consists of seven chapters covering a variety of problems in ordinary differential equations. Both pure mathematical research and real word applications are reflected by the contributions to this volume. Covers a variety of problems in ordinary differential equations Pure mathematical and real world applications Written for mathematicians and scientists of many related fields
Fokker–Planck–Kolmogorov Equations
Fokker–Planck–Kolmogorov Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fokker–Planck–Kolmogorov Equations write by Vladimir I. Bogachev. This book was released on 2022-02-10. Fokker–Planck–Kolmogorov Equations available in PDF, EPUB and Kindle. This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker–Planck–Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.
