Sidorov / Rojas / Sinitsyn | Operator Functional Equations with Parameters | Buch | 978-3-032-41873-9 | www.sack.de

Buch, Englisch, Format (B × H): 155 mm x 235 mm

Sidorov / Rojas / Sinitsyn

Operator Functional Equations with Parameters

Theory and Multidisciplinary Applications
Erscheinungsjahr 2027
ISBN: 978-3-032-41873-9
Verlag: Springer

Theory and Multidisciplinary Applications

Buch, Englisch, Format (B × H): 155 mm x 235 mm

ISBN: 978-3-032-41873-9
Verlag: Springer


This book is devoted to the study of the theory of integral equations. The authors emphasize the significance of parameter-dependent linear and nonlinear dynamical models in mathematical modeling across various research areas, and they provide insight into modeling complex singular systems, as well as theoretical and numerical tools for analyzing dynamic systems.

The book is divided into three major sections so as to consolidate the extensive nature of the topic: solvability of singular integral equations on Banach function spaces, regularized solutions of functional and operator equations, and applications in power systems engineering.

This book is a valuable resource for those in applied mathematics, as well as engineering across a range of disciplines.

Sidorov / Rojas / Sinitsyn Operator Functional Equations with Parameters jetzt bestellen!

Zielgruppe


Research

Weitere Infos & Material


Foreword.- Preface.- Singular integral equations on Banach function spaces.- Singular integral equations with Carleman shift.- Regularisation of linear operator equations.- Loaded equations and bifurcation analysis.- Applications in power systems engineering.- Bibliography.


Denis Sidorov is a Doctor of Physical and Mathematical Sciences and Professor (elected) of the Russian Academy of Sciences. He serves as Principal Investigator at the Melentiev Energy Systems Institute of SB RAS and holds professorships at Irkutsk National Research Technical University, and Harbin Institute of Technology. His research focuses on Volterra integral equations, inverse problems, nonlinear dynamical systems with memory, and their applications in power systems and signal processing. Former IEEE PES  Russia (Siberia) Chapter Chair and DAAD Professor, he has authored over 150 scientific works, 3 books and is recognised among the world's most cited scientist.

Edixon M. Rojas is Associate Professor in the Department of Mathematics, Faculty of Science, at Universidad Nacional de Colombia, Bogotá, Colombia. He holds a Ph.D. in Mathematics from Universidade de Aveiro, Portugal, where he specialized in linear and nonlinear functional analysis. His research interests include fixed point theory, singular integral operators, Volterra integral equations, boundary value problems, and operator-functional equations arising in mathematical physics. He has authored 51 publications, comprising journal articles and book chapters, with chapters appearing under Springer, Birkhäuser, and Cambridge Scientific Publishers, among other international publishers. His book-length work includes two co-authored textbooks and a monograph published by World Scientific. He is the founder and leader of the research group Análisis y Aplicaciones at Universidad Nacional de Colombia, where he has served as Principal Investigator on several research projects in fixed point theory and integral equations. He has also held visiting research positions at Universidade de Aveiro, Portugal, and Universidad de Jaén, Spain, strengthening ongoing international collaborations in the areas covered by this monograph.

Alexander V. Sinitsyn is a Professor at Universidad Nacional de Colombia, Bogota, Colombia and researcher specializing in mathematical modeling, kinetic theory, and nonlinear analysis. His research focuses primarily on Vlasov-type equations and kinetic models, including the Vlasov–Maxwell and Vlasov–Maxwell–Fokker–Planck systems, with applications to plasma physics, semiconductor devices, and geophysical processes. His scientific interests include existence and stability of steady-state solutions, bifurcation theory, boundary-value problems, nonlocal mathematical models, kinetic equations, and the mathematical analysis of complex dynamical systems.  Alexander V. Sinitsyn has authored and co-authored research papers and monographs in mathematical modeling, kinetic equations, and applied mathematics. He is also involved in international scientific collaboration and the development of interdisciplinary mathematical models at the interface of mathematics, physics, and engineering.

Nikolai A. Sidorov was born in Irkutsk, Russia, in 1940. He graduated from Mathematics Faculty of Irkutsk State University (ISU), Russia He gaied the Candidate of Sciences (Ph.D.) degree in mathematics from ISU in 1967, and the Doctor of Sciences (D.Sc.) degree in mathematics from the Institute of Mathematics and Mechanics of USSR Academy of Sciences, in 1983. In 1962, he joined the Department of Mathematical Analysis at Irkutsk State University, where he became a Full Professor in 1983 and later served as the Head of the Department. Since 1984, he has also been a Principal Investigator with the Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences. He is the author or coauthor of more than 110 scientific papers and several monographs, including Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Springer, 2002).  He is Honored Scientist of Russia. His research interests include the branching theory of nonlinear equations, bifurcation theory, operator-differential equations, and mathematical physics.



Ihre Fragen, Wünsche oder Anmerkungen
Vorname*
Nachname*
Ihre E-Mail-Adresse*
Kundennr.
Ihre Nachricht*
Lediglich mit * gekennzeichnete Felder sind Pflichtfelder.
Wenn Sie die im Kontaktformular eingegebenen Daten durch Klick auf den nachfolgenden Button übersenden, erklären Sie sich damit einverstanden, dass wir Ihr Angaben für die Beantwortung Ihrer Anfrage verwenden. Selbstverständlich werden Ihre Daten vertraulich behandelt und nicht an Dritte weitergegeben. Sie können der Verwendung Ihrer Daten jederzeit widersprechen. Das Datenhandling bei Sack Fachmedien erklären wir Ihnen in unserer Datenschutzerklärung.