Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type. Their topics include:
Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping a...
This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs on an elementary level, enabling the reader to understand what partial differential equations are, where they come from and how they can be solved. The intention is that the reader understands the basic principles which are valid for particular types of PDEs, and to acquire some classical methods to solve them, thus the authors restrict their considerations to fundamental types of equations and basic methods. Only basic facts from calculus and...
This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrations it introduces PDEs o...
Dieser Band der Reihe "Mathematik fur Ingenieure und Naturwissenschaftler" fuhrt in die Grundlagen der Thematik Integralgleichungen ein. Dabei handelt es sich um einen Problemkreis, der vom theoretischen Standpunkt aus wichtig ist und auch viele Anwendungen findet. Beim Leser werden Grundkenntnisse aus den Anfangssemestern vorausgesetzt. Bis auf wenige Ausnahmen wird die in diesem Buch dargelegte Theorie fur stetige Funktionen auf kompakten Inter vallen entwickelt. Man kann also problemlos mit dem Riemannschen Integral begriff auskommen. Das Buch besteht aus funf Teilen; jeder der 15...
Dieser Band der Reihe "Mathematik fur Ingenieure und Naturwissenschaftler" fuhrt in die Grundlagen der Thematik Integralgleichungen ein. Dabei handelt...
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.
In particular, we included evolutionary equations and differential equations on...
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method consider...
