Differential Equations category: 700 books

Cover of Stochastic Differential Equations, Backward SDEs, Partial Differential Equations
by Etienne Pardoux, Aurel Rӑşcanu
Language: English
Release Date: June 24, 2014

This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations...
Cover of Stochastic Differential Equations and Applications
by Avner Friedman
Language: English
Release Date: August 28, 2012

This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems. Originally published in two volumes, it combines a book of basic theory and selected topics with a book of applications.The...
Cover of Differential Equations

Differential Equations

An Introduction to Basic Concepts, Results and Applications

by Ioan I Vrabie
Language: English
Release Date: May 30, 2016

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence,...
Cover of Asymptotic Integration and Stability

Asymptotic Integration and Stability

For Ordinary, Functional and Discrete Differential Equations of Fractional Order

by Dumitru Baleanu, Octavian G Mustafa
Language: English
Release Date: January 15, 2015

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics...
Cover of Differential Equations as Models in Science and Engineering
by Gregory Baker
Language: English
Release Date: July 25, 2016

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical...
Cover of A Course in Analysis

A Course in Analysis

Vol. IV: Fourier Analysis, Ordinary Differential Equations, Calculus of Variations

by Niels Jacob, Kristian P Evans
Language: English
Release Date: July 19, 2018

In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier series. More advanced topics include a first discussion of Hardy spaces. We also spend some time handling general orthogonal series expansions,...
Cover of Ordinary Differential Equations and Boundary Value Problems

Ordinary Differential Equations and Boundary Value Problems

Volume I: Advanced Ordinary Differential Equations

by John R Graef, Johnny Henderson, Lingju Kong;Xueyan Sherry Liu;
Language: English
Release Date: February 13, 2018

The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the...
Cover of Partial Differential Equations and Boundary Value Problems with Maple
by George A. Articolo
Language: English
Release Date: March 23, 2009

Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The...
Cover of Differential Equations with Mathematica
by James P. Braselton, Martha L. L. Abell
Language: English
Release Date: September 19, 2016

Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica’s...
Cover of Differential and Difference Equations with Applications

Differential and Difference Equations with Applications

ICDDEA, Amadora, Portugal, May 2015, Selected Contributions

by
Language: English
Release Date: September 2, 2016

Aimed at the community of mathematicians working on ordinary and partial differential equations, difference equations, and functional equations, this book contains selected papers based on the presentations at the International Conference on Differential & Difference Equations and Applications...
Cover of A Modern Introduction to Differential Equations
by Henry J. Ricardo
Language: English
Release Date: February 24, 2009

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order...
Cover of Introductory Differential Equations
by James P. Braselton, Martha L. L. Abell
Language: English
Release Date: August 19, 2014

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book...
Cover of An Introduction to Second Order Partial Differential Equations
by Doina Cioranescu, Patrizia Donato, Marian P Roque
Language: English
Release Date: November 27, 2017

The book extensively introduces classical and variational partial differential equations (PDEs) to graduate and post-graduate students in Mathematics. The topics, even the most delicate, are presented in a detailed way. The book consists of two parts which focus on second order linear PDEs. Part I...
Cover of Introduction to Differential Equations Using Sage
by David Joyner, Marshall Hampton
Language: English
Release Date: September 1, 2012

David Joyner and Marshall Hampton's lucid textbook explains differential equations using the free and open-source mathematical software Sage. Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping...
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