{"product_id":"systems-of-evolution-equations-with-yuri-a-mitropolsky-9789401052108","title":"Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients","description":"Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. \u003cbr\u003e The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. \u003cbr\u003e Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. \u003cbr\u003e For mathematicians whose work involves the study of oscillating systems. \u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Yuri A. Mitropolsky,Anatolii M. Samoilenko,D. I. Martinyuk\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9401052107\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789401052108\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/22\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 280\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.93lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.63d","brand":"Yuri A. Mitropolsky","offers":[{"title":"Paperback","offer_id":48487202652415,"sku":"9789401052108","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_854eea6d-0f12-4d5d-a902-5a0a4fac4b0a.jpg?v=1778059007","url":"https:\/\/www.whiterainbookhouse.com\/products\/systems-of-evolution-equations-with-yuri-a-mitropolsky-9789401052108","provider":"WR Book House","version":"1.0","type":"link"}