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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.

Mathematics. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Mechanics. --- Differential Equations. --- Differential equations, partial. --- Mathématiques --- Mécanique --- Mechanics, Analytic --- Mathematical physics --- Singular perturbations (Mathematics) --- Boundary value problems --- Differential equations --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Asymptotic theory --- Asymptotic theory. --- Classical mechanics --- Newtonian mechanics --- Asymptotic theory in mathematical physics --- 517.91 Differential equations --- Differential equations. --- Partial differential equations. --- Physics --- Dynamics --- Quantum theory --- Classical Mechanics. --- Partial differential equations

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This book presents a collection of articles reporting the current challenges in solid and fracture mechanics. The book is devoted to the 90th birthday of academician Nikita F. Morozov-a well-known specialist in the field of solid and fracture mechanics.

Quantum mechanics. Quantumfield theory --- Solid state physics --- Materials sciences --- Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- Building materials. Building technology --- quantumfysica --- toegepaste mechanica --- mineralen (chemie) --- mijnbouw --- materialen (technologie) --- bouwmaterialen --- mechanica