03683nam 22007215 450 991043787930332120200703214539.03-642-37070-510.1007/978-3-642-37070-0(CKB)3390000000037193(SSID)ssj0000904329(PQKBManifestationID)11479368(PQKBTitleCode)TC0000904329(PQKBWorkID)10919676(PQKB)10410708(DE-He213)978-3-642-37070-0(MiAaPQ)EBC3107012(PPN)170491285(EXLCZ)99339000000003719320130514d2013 u| 0engurnn#008mamaatxtccrMethod of Guiding Functions in Problems of Nonlinear Analysis /by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (XIII, 177 p.)Lecture Notes in Mathematics,0075-8434 ;2076Bibliographic Level Mode of Issuance: Monograph3-642-37069-1 1 Background -- 2 MGF in Finite-Dimensional Spaces -- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions.This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.Lecture Notes in Mathematics,0075-8434 ;2076MathematicsOperator theoryGame theorySystem theoryMathematics, generalhttps://scigraph.springernature.com/ontologies/product-market-codes/M00009Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Game Theory, Economics, Social and Behav. Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13011Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Mathematics.Operator theory.Game theory.System theory.Mathematics, general.Operator Theory.Game Theory, Economics, Social and Behav. Sciences.Systems Theory, Control.530.15Obukhovskii Valeriauthttp://id.loc.gov/vocabulary/relators/aut479692Zecca Pietroauthttp://id.loc.gov/vocabulary/relators/autVan Loi Nguyenauthttp://id.loc.gov/vocabulary/relators/autKornev Sergeiauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910437879303321Method of guiding functions in problems of nonlinear analysis258681UNINA