Graph Paper Notebook (School Composition Notebooks, #7)
by Alun Publishing
Stochastic Komatu-loewner Evolutions
by Zhen-Qing Chen, Masatoshi Fukushima, and Takuya Murayama
The present monograph on stochastic Komatu-Loewner evolutions (SKLEs) provides the first systematic extension of the Schramm-Loewner evolution (SLE) theory from a simply connected planar domain to multiply connected domains by using the Brownian motion with darning (BMD) that has arisen in a recent study of the boundary theory of symmetric Markov processes.This volume is presented in an accessible manner for the interested researchers and graduate students. It also brings new insights into SLEs...
The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. The book is a graduate level text and good to use for individual study. With the relaxed style of writing, the reader will find it to be an enticing invitation to join this important area of mathematical research. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly.A...
Basic Theory Of Fractional Differential Equations
by Yong Zhou, Jinrong Wang, and Lu Zhang
This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operator...
Singular Integral Equations (Dover Books on Mathematics) (Dover Books on Physics)
by N I Muskhelishvili
In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An aut...
Ordinary Differential Equations and Applications (Horwood Series in Mathematics & Applica)
by Welner S. Weiglhofer and K A Lindsay
This introductory text presents ordinary differential equations with a modern approach to mathematical modelling in a one semester module of 20-25 lectures.
Qualitative Theory Of Odes: An Introduction To Dynamical Systems Theory
by Henryk Zoladek and Raul Murillo
The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and...
Theory and Applications of Fractional Differential Equations (North-Holland Mathematics Studies, #204)
by A A Kilbas, H. M. Srivastava, Juan J Trujillo, and J J Trujillo
This monograph provides the most recent and up-to-date developments on fractional differential and fractional integro-differential equations involving many different potentially useful operators of fractional calculus. The subject of fractional calculus and its applications (that is, calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in nu...
Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields
by Anatoly Kochubei
Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.
Solutions Manual to Accompany Ordinary Differential Equations
by Michael D. Greenberg
Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order.
Ordinary Differential Equations: Basic Methods, Qualitative Theory, And Fun Models
by Michail Zhitomirskii
One of the few books on Ordinary Differential Equations (ODEs), this book contains both qualitative theory, allowing students to analyze the solutions without obtaining formulas, and methods and techniques for obtaining formulas. It features friendly explanations of theorems on top of their formal proofs, expressed in examples, questions, figures, exercises, fun models related to various aspects of life, and even Math Theater explaining, using ODEs, the advantage of optimization by feedback vers...
100 Worksheets - Identifying Places with 10 Digit Numbers (100 Days Math Identify Place, #9)
by Kapoo Stem
This monograph is devoted to the existence and stability (Ulam-Hyers-Rassias stability and asymptotic stability) of solutions for various classes of functional differential equations or inclusions involving the Hadamard or Hilfer fractional derivative. Some equations present delay which may be finite, infinite, or state-dependent. Others are subject to impulsive effect which may be fixed or non-instantaneous.Readers will find the book self-contained and unified in presentation. It provides the n...
This set includes presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory.
100 Worksheets - Identifying Places with 11 Digit Numbers (100 Days Math Identify Place, #10)
by Kapoo Stem
Nichtlineare Randwertprobleme (de Gruyter Studium)
by Martin Hermann
The Research about Invariants of Ordinary Differential Equations
by Roger Chalkley
Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop a complete understanding of the related theory. Featuring diverse and interesting applications from engineering, bioengineering, ecology, a...
Ordinary Differential Equations With Applications (Series On Applied Mathematics, #16)
by Sze-bi Hsu
During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based around the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward...
Ordinary Differential Equations (AIMS Library of Mathematical Sciences) (AIMS Library)
by Bernd J. Schroers
Ordinary Differential Equations introduces key concepts and techniques in the field and shows how they are used in current mathematical research and modelling. It deals specifically with initial value problems, which play a fundamental role in a wide range of scientific disciplines, including mathematics, physics, computer science, statistics and biology. This practical book is ideal for students and beginning researchers working in any of these fields who need to understand the area of ordinary...