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000727443 019__ $$a910949784$$a914433308
000727443 020__ $$a9783319183114$$qelectronic book
000727443 020__ $$a3319183117$$qelectronic book
000727443 020__ $$z9783319183107
000727443 0247_ $$a10.1007/978-3-319-18311-4$$2doi
000727443 035__ $$aSP(OCoLC)ocn910622948
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000727443 049__ $$aISEA
000727443 050_4 $$aQA372
000727443 08204 $$a515/.35$$223
000727443 24500 $$aAsymptotic methods in mechanics of solids$$h[electronic resource] /$$cSvetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Remi Vaillancourt.
000727443 264_1 $$aCham :$$bBirkhäuser,$$c2015.
000727443 300__ $$a1 online resource (xxi, 325 pages) :$$billustrations.
000727443 336__ $$atext$$btxt$$2rdacontent
000727443 337__ $$acomputer$$bc$$2rdamedia
000727443 338__ $$aonline resource$$bcr$$2rdacarrier
000727443 4901_ $$aInternational series of numerical mathematics,$$x0373-3149 ;$$vvolume 167
000727443 500__ $$a"Based on the Russian version."
000727443 504__ $$aIncludes bibliographical references and index.
000727443 5050_ $$aAsymptotic Estimates.- Asymptotic Estimates for Integrals.- Regular Perturbation of ODE's.- Singularly Perturbed Linear ODE's.- Linear ODE's with Turning Points.- Asymptotic Integration of Nonlinear ODE's -- Bibliography -- Index.
000727443 506__ $$aAccess limited to authorized users.
000727443 520__ $$aThe construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.
000727443 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 4, 2015).
000727443 650_0 $$aDifferential equations$$xAsymptotic theory.
000727443 650_0 $$aMathematical physics$$xAsymptotic theory.
000727443 650_0 $$aMechanics.
000727443 7001_ $$aBauer, Svetlana M.,$$eauthor.
000727443 7001_ $$aFilippov, Sergei B.,$$eauthor.
000727443 7001_ $$aSmirnov, Andrei L.,$$d1956-$$eauthor.
000727443 7001_ $$aTovstik, P. E.,$$eauthor.
000727443 7001_ $$aVaillancourt, Rémi,$$d1934-$$eauthor.
000727443 77608 $$iPrint version:$$z9783319183107
000727443 830_0 $$aInternational series of numerical mathematics ;$$vvolume 167.
000727443 852__ $$bebk
000727443 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-18311-4$$zOnline Access$$91397441.1
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000727443 980__ $$aBIB
000727443 982__ $$aEbook
000727443 983__ $$aOnline
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