Asymptotic methods in mechanics of solids

• Main Authors: Bauer, Svetlana M. (Author), Filippov, Sergei B. (Author), Smirnov, Andrei L. (Author), Tovstik, Petr E. (Author), Vaillancourt, Rémi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
• Series: International Series of Numerical Mathematics, 167
• Subjects: Mathematics.; Differential equations.; Partial differential equations.; Mechanics.; Ordinary Differential Equations.; Partial Differential Equations.

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 t...

Table of Contents:

• Asymptotic Estimates.- Asymptotic Estimates for Integrals.- Regular Perturbation of ODE's.- Singularly Perturbed Linear ODE's.- Linear ODE's with Turning Points.- Asymptotic Integration of Nonlinear ODE's
• Bibliography
• Index.