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QUALITATIVE THEORY OF ODES IBD

HENRYK ?O??DEK / RAUL MURILLO
WSPC (EUROPE)
10 / 2022
9781800612686
Inglés

Sinopsis

The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work, usually those equations are very complicated and cannot be solved by standard methods.The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state.Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on Raul MurilloâÇÖs translation of Henryk Å»oÅéÄàdekâÇÖs lecture notes, which were in Polish and edited in the portaláMatematyka Stosowanaá(Applied Mathematics) in the University of Warsaw.

PVP
114,95€