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...
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...
Singapore: World Scientific Publishing Company, 2024. - 669 p. - ISBN 9811291624. This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course . The book considers many important issues such as existence, regularity, qualitative properties, and all the classical...
Singapore: World Scientific Publishing Company, 2025. - 632 p. - ISBN 9811298505. Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in...
2nd ed. — Springer, 2025. — 267 p. — (Synthesis Lectures on Mathematics & Statistics). — ISBN 3031599748. This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamental linear partial differential equations of physics . The text...
Springer, 2024. - 438 p. - (Universitext). - ISBN 303170908X. This textbook provides a modern introduction to advanced concepts and methods of mathematical analysis. The first three parts of the book cover functional analysis, harmonic analysis, and microlocal analysis. Each chapter is designed to provide readers with a solid understanding of fundamental concepts while guiding...
2nd ed. — Birkhäuser, 2024. — 392 p. — (Birkhäuser Advanced Texts Basler Lehrbücher). — ISBN 3031541219. The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and complicated refinements. Apart from the basic theory of equations in divergence form , it includes subjects as singular...
Singapore: World Scientific Publishing Company, 2023. - 350 p. - (Essential Textbooks In Mathematics). - ISBN 1800613962. Differential equations can bring mathematics to life, describing phenomena originating in physics, chemistry, biology, economics, and more . Used by scientists and engineers alike, differential equations are also the starting point of much purely...
CRC Press, 2024. - 451 p. - ISBN 1032662522. Boundary value problems play a significant role in modeling systems characterized by established conditions at their boundaries. On the other hand, initial value problems hold paramount importance in comprehending dynamic processes and foreseeing future behaviors. The fusion of these two types of problems yields profound insights...
Birkhäuser, 2023. - 162 p. - (Compact Textbooks in Mathematics). - ISBN 3031347951. This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology , particularly in the field of partial differential equations , where uniqueness guarantees that certain partial differential equations are sufficient to model a given...
Springer, 2024. - 318 p. - ISBN 9819986915. This book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems : (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically...
12th. ed. — Boston: Cengage Learning, 2023. — 481 p. — ISBN 0357760190. Straightforward and easy to read, Zill's a first course in differential equations with modeling applications, 12th edition, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications is supported by a...
2nd. ed. - CRC Press, 2022. - 705 p. - (Textbooks in Mathematics). - ISBN 1138606588. This book started as a collection of lecture notes for a course in differential equations taught by the Division of Applied Mathematics at Brown University . To some extent, it is a result of collective insights given by almost every instructor who taught such a course over the last 15 years....
2nd ed. — Birkhäuser, 2024. — 234 p. — (Advanced Courses in Mathematics - CRM Barcelona). — ISBN 3030596559. This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application...
Springer, 2024. — 423 p. — (Problem Books in Mathematics). — ISBN 3031487834. Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented...
Springer, 2023. — 224 p. — (CMS/CAIMS Books in Mathematics, 11). — ISBN 3031395239. This book provides a short introduction to partial differential equations (PDEs) . It is primarily addressed to graduate students and researchers , who are new to PDEs. The book offers a user-friendly approach to the analysis of PDEs, by combining elementary techniques and fundamental modern...
3rd ed. — Springer, 2023. — 773 p. — (Applied Mathematical Sciences, 117). — ISBN 3031339274. The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of...
3rd ed. — Springer, 2023. — 705 p. — (Applied Mathematical Sciences, 116). — ISBN 3031336992. This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The...
3rd ed. — Springer, 2023. — 733 p. — (Applied Mathematical Sciences, 115). — ISBN 3031338588. The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory,...
2nd ed. — Berlin: Walter de Gruyter, 2023. — 378 p. — ISBN 3111185249. The first edition of this book was published in 2021, just prior to the time when Antonio passed away. Perhaps the publication was somewhat rushed due to the surge of the pandemic. Antonio and I agreed that we would revise it as soon as possible. Unfortunately, Antonio passed away quite suddenly and...
2nd. ed. - Singapore: World Scientific Publishing Company, 2022. - 304 p. - ISBN 9811268568. The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with...
Springer, 2023. — 162 p. — (Industrial and Applied Mathematics). — ISBN 9819960797. This is an introductory-level text on fractional calculus and fractional differential equations . Targeted to graduate students of mathematics and researchers, it contains several new definitions of fractional integrals and fractional derivatives. With interesting applications of the subject in...
2nd. ed. - Springer, 2023. - 266 p. - (UNITEXT, 154). - ISBN 3031359755. This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces . It contains elliptic equations , including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their...
Boca Raton: CRC Press, 2023. - 268 p. - (Advances in Applied Mathematics). - ISBN 1032575034. This book presents an introduction to the theory of multiplicative partial differential equations (MPDEs) . It is suitable for all types of basic courses on MPDEs. The author’s aim is to present a clear and well-organized treatment of the concept behind the development of mathematics...
Boca Raton: CRC Press, 2023. — 433 p. — (Advances in Applied Mathematics). — ISBN 0367486911. Delay Ordinary and Partial Differential Equations is devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay . It considers qualitative features of delay differential equations and formulates typical problem statements. Exact,...
3rd ed. — Boca Raton: CRC Press, 2022. — 487 p. — (Textbooks in Mathematics). — ISBN 1032102705. Differential equations is one of the oldest subjects in modern mathematics. It was not long after Newton and Leibniz invented the calculus that Bernoulli and Euler and others began to consider the heat equation and the wave equation of mathematical physics. Newton himself solved...
Учебное пособие. — 2-е изд., доп. — М.: МФТИ, 2023. — 326 с. Содержит основные разделы теории обыкновенных дифференциальных уравнений и введение в вариационное исчисление. Набор рассматриваемых в учебном пособии вопросов соответствует стандартной университетской программе по предмету «Обыкновенные дифференциальные уравнения» и может являться основой для последующего, более...
Монография. — Иркутск: Иркутский государственный университет (ИГУ), 2014. — 150 с. Монография посвящена проблемам существования и единственности решений начальных задач для линейных интегро-дифференциальных уравнений Вольтерра типа свертки в банаховых пространствах. Особое внимание уделено уравнениям с необратимым оператором в главной части. Развивается подход, связанный с...
Учебник. — М.: Московский государственный университет (МГУ) имени М.В. Ломоносова, 2022. — 506 с. Наш учебник следует традиции, заложенной в книгах Арнольда и Хирша – Смейла – Деване . Часть материала почерпнута также из замечательного учебника И.Г. Петровского . Мы придерживаемся бескоординатного изложения и описываем явления в инвариантных терминах. Центральным объектом...
Boca Raton: CRC Press, 2023. — 380 p. — ISBN 9781003277569. Stochastic Differential Equations for Science and Engineering is aimed at students at the M.Sc. and PhD level . The book describes the mathematical construction of stochastic differential equations with a level of detail suitable to the audience, while also discussing applications to estimation, stability analysis, and...
Springer, 2023. — 219 p. — (Problem Books in Mathematics). — ISBN 3031245865. This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved using computational power series methods . Many examples are illustrated with figures and each chapter...
Учебное пособие. — Испр. и доп. изд. — Казань: Казанский (Приволжский) федеральный университет (КФУ), 2022. — 81 с. Учебное пособие предназначено для студентов II курса Института математики и механики им. Н.И. Лобачевского КФУ. Линейные системы дифференциальных уравнений c постоянными коэффициентами. Операционный метод решения линейных дифференциальных уравнений и систем c...
Учебное пособие. — Испр. и доп. изд. — Казань: Казанский (Приволжский) федеральный университет (КФУ), 2022. — 82 с. Учебное пособие предназначено для студентов II курса Института математики и механики им. Н.И. Лобачевского КФУ. Дифференциальные уравнения первого порядка Уравнения с разделяющимися переменными и уравнения, приводящиеся к ним. Задачи, приводящие к уравнениям с...
4th ed. — Springer, 2023. — 691 p. — (UNITEXT, 147). — ISBN 3031218523. This work is an updated version of a book evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in...
2nd ed. — Ann Arbor: XanEdu Publishing, 2020. — 247 p. — ISBN 1975077202. This textbook, in its second edition, is a concise introduction to differential equations for students in science and engineering. Emphasis is placed on the methods of solution, on the constructive use of qualitative analysis, and on the interconnections between differential equations and mathematical...
Gistrup (Denmark): River Publishers, 2023. — 291 p. — (River Publishers Series in Mathematical, Statistical and Computational Modelling for Engineering). — ISBN 8770227632. Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the...
Cambridge: Cambridge University Press, 2022. — 390 p. — ISBN 1009201441. Partial differential equations are a vital part of any course in pure or applied mathematics. This book will be invaluable to anyone looking for a lucid but comprehensive introduction to PDEs. Designed to strike a balance between theory and practical problems, it covers all major methods as well as their...
Springer, 2022. — 108 p. — ISBN 3031079833. Differential equations course is one of the main courses of all engineering majors which is taught for freshman or sophomore students. The subjects include different types of first-order differential equations, including separable differential equation, linear differential equation, Bernoulli differential equation, and complete (exact)...
2nd. ed. — CRC Press, 2022. — 207 p. — ISBN 1032073160. Partial Differential Equations: Topics in Fourier Analysis, Second Edition explains how to use the Fourier transform and heuristic methods to obtain significant insight into the solutions of standard PDE models. It shows how this powerful approach is valuable in getting plausible answers that can then be justified by...
Учебное пособие. — Минск: Белорусский государственный университет (БГУ), 2019. — 494 с. Изложена теория стохастических дифференциальных уравнений и включений как в конечномерных, так и в Гильбертовых пространствах. Рассматриваются стохастические дифференциальные уравнения со стандартным и дробным броуновскими движениями. Изучаются три раздела: теоремы существования, теория...
4th ed. — Boca Raton: CRC Press, 2022. — 440 p. — ISBN 1032001666. Solution Techniques for Elementary Partial Differential Equations, Fourth Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). It provides a streamlined, direct approach to developing student’s competence in solving PDEs, and offers concise, easily...
Gistrup (Denmark): River Publishers, 2022. — 233 p. — (River Publishers Series in Mathematical and Engineering Sciences). — ISBN 8770226326. This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordinary differential equations, from...
ArXiv, 2021. — 272 с. В книге рассмотрены дифференциальные уравнения первого порядка над банаховой D-алгеброй : дифференциальное уравнение, разрешённое относительно производной; уравнение в полных дифференциалах; линейное однородное уравнение . Рассмотрел примеры дифференциальных уравнений в алгебре кватернионов. С целью изучения однородной системы линейных дифференциальных...
Springer, 2020. — 383 p. — (Universitext). — ISBN: 3030590879. This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations . Sturm–Liouville theory has applications in partial differential equations and mathematical physics . Examples include classical PDEs such as the heat and wave equations....
6-е изд., перераб. и доп. — Санкт-Петербург: Санкт-Петербургский политехнический университет Петра Великого (СПбПУ), 2018. — 1073 с. Настоящая книга является переработанным и дополненным изданием монографии: Кузнецов Д. Ф. Стохастические дифференциальные уравнения: теория и практика численного решения. С Программами в среде MatLAB. 5-е изд. Для данной книги в основном...
Учебное пособие. — М.: Московский государственный университет (МГУ) имени М.В. Ломоносова, 2016. — 200 с. — ISBN 978-5-8279-0134-1. Пособие подготовлено на основе многолетнего опыта чтения авторами общего курса «Обыкновенные дифференциальные уравнения» и наиболее полно соответствует программе данного курса, читаемого в настоящее время для студентов физического факультета МГУ. В...
CRC Press, 2019. — 358 p. — (Mathematics and Physics for Science and Technology). — ISBN: 0367137232. Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set . As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and...
CRC Press, 2019. — 260 p. — (Mathematics and Physics for Science and Technology). — ISBN: 9780367137243. Classification and Examples of Differential Equations and their Applications is the sixth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set . As a set, they are the fourth volume in the series Mathematics and Physics...
CRC Press, 2019. — 305 p. — (Mathematics and Physics for Science and Technology). — ISBN: 978-0367137199. Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science...
Cambridge: Cambridge University Press, 2020. — 376 p. — (Cambridge–IISc Series). — ISBN: 1108839800. Suitable for both senior undergraduate and graduate students , this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach ; requiring minimal previous knowledge. It represents the solutions to three important...