TY - BOOK AU - Obukhovskii,Valeri AU - Zecca,Pietro AU - Van Loi,Nguyen AU - Kornev,Sergei ED - SpringerLink (Online service) TI - Method of Guiding Functions in Problems of Nonlinear Analysis T2 - Lecture Notes in Mathematics, SN - 9783642370700 AV - QA1-939 U1 - 510 23 PY - 2013/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Mathematics KW - Operator theory KW - Systems theory KW - Mathematics, general KW - Operator Theory KW - Game Theory, Economics, Social and Behav. Sciences KW - Systems Theory, Control N1 - 1 Background -- 2 MGF in Finite-Dimensional Spaces -- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-37070-0 ER -