Bøger i Mathematical Analysis and Applications serien

"Method of Variation of Parameters for Dynamic Systems" presents a systematic and unified theory of the development of the theory of the method of variation of parameters, its unification with Lyapunov's method and typical applications of these methods.

Offers a complete presentation of the nonsmooth critical point theory and investigates many different classes of boundary value problems, illustrating a variety of general methods. This work includes detailed appendices that provide easy access to the mathematical tools used in the book, and a rich bibliography offers a guide to the literature.

This volume describes the monotone iterative technique which is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type.

Interest in the mathematical analysis of multifunctions has increased rapidly. This volume encompasses the mathematical analysis of multifunctions and contains 29 research articles from leading mathematicians in this area.

Detailing the theory of fuzzy differential equations and inclusions and a systematic account of recent developments, this text provides preliminary material of fuzzy set theory; description of calculus for fuzzy functions; an investigation of the basic theory of fuzzy differential equations; and an introduction to fuzzy differential inclusions.

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, Presenting a survey of advances made in generalizations of degree theory during the past decade, this book focuses on topological degree theory in normed spaces and its applications. It includes discussions on a degree theory for new monotone maps and A-proper Fredholm maps of index-zero type and presents a recently developed fixed point index for countably condensing maps. Applications to ordinary and partial differential equations and evolution equations are presented throughout the book, and each chapter includes exercises suitable for self-study and special topics courses.

Focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. This work includes results on critical point theory, nonlinear differential operators, and related regularity and comparison principles.

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, is designed to conduce and spur further research in this direction.