{"product_id":"9783110533835","title":"Sergey G. Glebov; Oleg M. Kiselev; Nikolai N. Tarkhanov: Nonlinear Equations with Small ParameterVolume 2 : Waves and Boundary Problems.Vol.2 : Waves and Boundary Poblems (De Gruyter Series in Nonlinear Analysis and Applications)","description":"The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.\u003cbr\u003ePlease submit book proposals to Jürgen Appell .\u003cbr\u003e \u003cp\u003eThis is the second volume of \u003cem\u003eNonlinear Equations with Small Parameter\u003c\/em\u003e containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations. \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eS. G. Glebov\u003c\/strong\u003e, Ufa St. Petr. Tech. Univ., Russia; \u003cstrong\u003eO. M. Kiselev\u003c\/strong\u003e, Ufa Sci. Center, Russia; \u003cstrong\u003eN. N. Tarkhanov\u003c\/strong\u003e, Univ. of Potsdam, Germany. \u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":49193082061027,"sku":"00000_00000_00000_00000","price":182.99,"currency_code":"USD","in_stock":true}],"url":"https:\/\/usa.kinokuniya.com\/ja\/products\/9783110533835","provider":"Books Kinokuniya USA","version":"1.0","type":"link"}