Boca Raton: CRC Press, 1982. — 352 p. This book contains twenty four papers, presented at the conference on Volterra and Functional Differential Equations held in Virginia in 1981, on various topics, including Liapunov stability, Volterra equations, integral equations, and functional differential equations. Preface Contributors Conference Participants A Survey of Some Problems...
Диссертация на соискание ученой степени кандидата физико-математических наук : 01.01.02 – Дифференциальные уравнения. — Российский государственный педагогический университет им. А. И. Герцена. — Санкт-Петербург, 2001. — 111 с. Научный руководитель: д.ф.-м.н., проф. В.Д. Будаев. Научный консультант: д.ф.-м.н., проф. В.Ф. Зайцев. В диссертационной работе рассматривается класс...
Almaty: КазНУ, 2019. — 192 p. Some theoretical foundations of oscillations of delay equations are expounded in the textbook: oscillations of delay equations, oscillations of difference equations. The tasks for independent work with solving of concrete examples, brief theory and solution algorithms of the problems, term tasks on sections of oscillations of delay and difference...
Berlin: de Gruyter, 2009. — 240 p. This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equationsis under rapid development. After a presentation of the...
New York: Chapman and Hall/CRC, 2020. — 615 p. Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the...
Atlantis Press, 2014. — 311 p. — (Atlantis Studies in Differential Equations 03). — ISBN: 978-94-6239-090-4. Stability of Neutral Functional Differential Equations In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities including solution estimates of certain types of functional differential equations. The main...
New York: Springer, 1993. — 458 p. The present book builds upon an earlier work of J. Hale, "Theory of Func tional Differential Equations" published in 1977. We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and...
Amsterdam: Springer, 1992. — 245 p. This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems)....
Перевод с английского С.Н. Шиманова. — Под редакцией А.Д. Мышкиса. — М.: Мир, 1984. — 421 с. Теория функционально-дифференциальных уравнений — важный раздел современной математики, который находит применение в сложных системах автоматического управления, моделях экономической динамики, экологических биологических систем. Автор — известный американский математик, крупный...
New York: Marcel Dekker, 1995. — 488 p. This valuable reference examines the latest developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, clearly presenting basic oscillation theory as well as up-to-the-minute results;many previously unpublished.
Springer, 1996. — 440 p. Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical...
Kluwer, 1999. — 666 p. At the beginning of this century Emil Picard wrote: "Les equations differentielles de la mecanique classique sont telles qu 'il en resulte que le mouvement est determine par la simple connaissance des positions et des vitesses, c 'est-a-dire par l 'etat a un instant donne et a ['instant infiniment voison. Les etats anterieurs n'y intervenant pas, l'heredite...
Hindawi Publishing, 2007. — 325 p. The book covers many topics in the theory of functional differential equations: key questions of the general theory, boundary value problems (both linear and nonlinear), control problems (with both classic and impulse control), stability problems, calculus of variations problems, computer-assisted techniques for studying the problems mentioned....
Boca Raton: CRC Press, 2017. — 277 p. The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by...
Wiley, 2016. — 365 p. — (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts). — ISBN10: 1119189470. — ISBN13: 978-1119189473 Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications...
New York: Springer, 2014. - 160p.
This book provides cutting-edge results on the existence of multiple positive periodic solutions of first-order functional differential equations. It demonstrates how the Leggett-Williams fixed-point theorem can be applied to study the existence of two or three positive periodic solutions of functional differential equations with real-world...