TY - GEN digital ID - 131518292 TI - Method of Guiding Functions in Problems of Nonlinear Analysis AU - Obukhovskii, Valeri AU - Zecca, Pietro AU - Van Loi, Nguyen AU - Kornev, Sergei PY - 2013 SN - 9783642370700 PB - Berlin, Heidelberg Springer DB - UniCat KW - Mathematics KW - Operator theory KW - Operational research. Game theory KW - Mathematics KW - Applied physical engineering KW - Engineering sciences. Technology KW - analyse (wiskunde) KW - systeemtheorie KW - speltheorie KW - wiskunde KW - wiskunde KW - systeembeheer KW - ingenieurswetenschappen UR - https://www.unicat.be/uniCat?func=search&query=sysid:131518292 AB - 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. ER -