The term ``ill-posed problems'' used to mean problems with unstablesolutions for which small errors in initial data lead to a significanterror in the results. At present the theory itself has been sufficientlywell developed. At the same time the topic is by no means exhausted.
This study is an attempt at extending well-known facts to new classes ofproblems and at working out novel approaches to the solution of theseproblems. In particular, this monograph is devoted to the questions of(consistency) of ill-posed boundary-value problems for systems ofvarious types of the first-order differential equations with constantcoefficients and to the methods of their solution.
The introductory chapter gives some facts of the theory of matrices andordinary differential equations. The first chapter studies the wellposedness of the problem for an arbitrary system of ordinary equationsand the occurrence of ill-posed problems among them. In the secondchapter a similar approach is applied to various kinds of parabolicsystems and solution methods for ill-posed problems are given. The finalchapter deals with he afore mentioned methods to study problems forhyperbolic-type equations.
This monograph will be of value to researchers in the field of ill-posedproblems for differential equations.
2003; viii+144 pages ISBN 90-6764-395-5 Price (all prices are subject to change without notice): EUR 127/US$ 182
