Birkhäuser, 2025. — 323 p. — ISBN-13 : 978-3031865312 This textbook offers an introduction to ODEs that focuses on the qualitative behavior of differential equations rather than specialized methods for solving them. The book is organized around this approach with important topics, such as existence, uniqueness, qualitative behaviour, and stability, appearing in early chapters...
Cambridge University Press, 2025. — 381 p. — ISBN-13 : 978-1009610025 This book is designed for senior undergraduate and graduate students pursuing courses in mathematics, physics, engineering and biology. The text begins with a study of ordinary differential equations. The concepts of first- and second-order equations are covered initially. It moves further to linear systems,...
Springer, 2024. — 84 p. — ISBN-13 : 978-9819978786 This book addresses the interplay between stochastic processes and partial differential equations. More specifically, it focuses on the connection between the nonlinear p-Laplace equation and the stochastic game called tug-of-war with noise. The connection in this context was discovered approximately 15 years ago and has since...
Springer, 2025. — 318 p. — ISBN-13 : 978-3031891410 Inverse problems lie at the core of scientific discovery, enabling us to determine causes from observed consequences. They are fundamental to both theoretical research and technological innovation, making them a central topic in the mathematical sciences. This book explores a cutting-edge area of inverse problems—those related...
Springer, 2025. — 508 p. This volume compiles selected papers focusing on the applications of differential equations across various scientific domains, presented at the International Conference "New Trends in the Applications of Differential Equations in Sciences" (NTADES), which took place in Saints Constantine and Helena, Bulgaria, in July 2024. The book is organized around...
De Gruyter, 2025. — 376 p. — ISBN-13 978-3111635514 This book is devoted to the qualitative theory of partial dynamic equations on arbitrary time scales. The results in the book generalize the classical results, and they unify the discrete and continuous cases. The book starts with classification and canonical forms for second-order PDEs. Next, the Laplace transform method and...
New Delhi: CBS Publishers & Distributors, 2022. - 560 p. - ASIN B0B3XQCQTS. The book focuses on differential equations and integral transforms which form an essential part of mathematics for undergraduate science and engineering students. Differential equations arise in the modeling of various physical problems in applied mathematics, physics and engineering. An integral...
Пер. с итал. Райков Д.А. — М.: Издательство иностранной литературы, 1957. — 444 с. Настоящая книга является учебным руководством по теории уравнений в частных производных. Особый интерес представляет пятая глава, где, в частности, изучается так называемая задача Трикоми для уравнений смешанного типа. Книга рассчитана в первую очередь на студентов и аспирантов...
Пер. с итал. Райков Д.А. — М.: Издательство иностранной литературы, 1957. — 444 с. Настоящая книга является учебным руководством по теории уравнений в частных производных. Особый интерес представляет пятая глава, где, в частности, изучается так называемая задача Трикоми для уравнений смешанного типа. Книга рассчитана в первую очередь на студентов и аспирантов...
CRC Press, 2025. — 288 p. — ISBN 1032715987. Introduction to Qualitative Methods for Differential Equations provides an alternative approach to teaching and understanding differential equations. The basic methodology of the book is centred on finding reformulations of differential equations in such a manner that they become (partially, at least) problems in geometry . Through...
Basel: Birkhäuser, 2025. — 961 p. This book provides a comprehensive and self-contained introduction to the study of the Cauchy problem and unique continuation properties for partial differential equations. Aimed at graduate and advanced undergraduate students, it bridges foundational concepts such as Lebesgue measure theory, functional analysis, and partial differential...