The construction of solutions of singularly perturbed systems of equations and boundary value
problems that are characteristic for the mechanics of thin-walled structures are the main focus
of the book. The theoretical results are supplemented by the analysis of problems and
exercises. Some of the topics are rarely discussed in the textbooks for example the Newton
polyhedron which is a generalization of the Newton polygon for equations with two or more
parameters. After introducing the important concept of the index of variation for functions
special attention is devoted to eigenvalue problems containing a small parameter. The main part
of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary
and boundary value problems without or with turning points respectively. As examples
one-dimensional equilibrium dynamics and stability problems for rigid bodies and solids are
presented in detail. Numerous exercises and examples as well as vast references to the relevant
Russian literature not well known for an English speaking reader makes this a indispensable
textbook on the topic.
