Principles of Differential and Integral Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846221
Total Pages : 205 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Principles of Differential and Integral Equations by : C. Corduneanu

Download or read book Principles of Differential and Integral Equations written by C. Corduneanu and published by American Mathematical Soc.. This book was released on 2008-05-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.

Introduction to Nonlinear Differential and Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Introduction to Nonlinear Differential and Integral Equations by : Harold Thayer Davis

Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1960 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Differential Equations

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Publisher : John Wiley & Sons
ISBN 13 : 1118031539
Total Pages : 354 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Principles of Differential Equations by : Nelson G. Markley

Download or read book Principles of Differential Equations written by Nelson G. Markley and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible, practical introduction to the principles of differential equations The field of differential equations is a keystone of scientific knowledge today, with broad applications in mathematics, engineering, physics, and other scientific fields. Encompassing both basic concepts and advanced results, Principles of Differential Equations is the definitive, hands-on introduction professionals and students need in order to gain a strong knowledge base applicable to the many different subfields of differential equations and dynamical systems. Nelson Markley includes essential background from analysis and linear algebra, in a unified approach to ordinary differential equations that underscores how key theoretical ingredients interconnect. Opening with basic existence and uniqueness results, Principles of Differential Equations systematically illuminates the theory, progressing through linear systems to stable manifolds and bifurcation theory. Other vital topics covered include: Basic dynamical systems concepts Constant coefficients Stability The Poincaré return map Smooth vector fields As a comprehensive resource with complete proofs and more than 200 exercises, Principles of Differential Equations is the ideal self-study reference for professionals, and an effective introduction and tutorial for students.

Ordinary Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 1108416411
Total Pages : 349 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Ordinary Differential Equations by : A. K. Nandakumaran

Download or read book Ordinary Differential Equations written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2017-05-11 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy to understand guide covering key principles of ordinary differential equations and their applications.

Principles of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1441910956
Total Pages : 165 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Principles of Partial Differential Equations by : Alexander Komech

Download or read book Principles of Partial Differential Equations written by Alexander Komech and published by Springer Science & Business Media. This book was released on 2009-10-05 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise book covers the classical tools of Partial Differential Equations Theory in today’s science and engineering. The rigorous theoretical presentation includes many hints, and the book contains many illustrative applications from physics.

Analysis of Approximation Methods for Differential and Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210801
Total Pages : 412 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Analysis of Approximation Methods for Differential and Integral Equations by : Hans-Jürgen Reinhardt

Download or read book Analysis of Approximation Methods for Differential and Integral Equations written by Hans-Jürgen Reinhardt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is primarily based on the research done by the Numerical Analysis Group at the Goethe-Universitat in Frankfurt/Main, and on material presented in several graduate courses by the author between 1977 and 1981. It is hoped that the text will be useful for graduate students and for scientists interested in studying a fundamental theoretical analysis of numerical methods along with its application to the most diverse classes of differential and integral equations. The text treats numerous methods for approximating solutions of three classes of problems: (elliptic) boundary-value problems, (hyperbolic and parabolic) initial value problems in partial differential equations, and integral equations of the second kind. The aim is to develop a unifying convergence theory, and thereby prove the convergence of, as well as provide error estimates for, the approximations generated by specific numerical methods. The schemes for numerically solving boundary-value problems are additionally divided into the two categories of finite difference methods and of projection methods for approximating their variational formulations.

Differential and Integral Equations: Boundary Value Problems and Adjoints

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Publisher : Springer
ISBN 13 : 9027708029
Total Pages : 252 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Differential and Integral Equations: Boundary Value Problems and Adjoints by : S. Schwabik

Download or read book Differential and Integral Equations: Boundary Value Problems and Adjoints written by S. Schwabik and published by Springer. This book was released on 1979-05-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Implicit Fractional Differential and Integral Equations

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311055318X
Total Pages : 359 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Implicit Fractional Differential and Integral Equations by : Saïd Abbas

Download or read book Implicit Fractional Differential and Integral Equations written by Saïd Abbas and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-02-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. Contents Preliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Nonlinear Implicit Fractional Differential Equations Boundary Value Problems for Impulsive NIFDE Integrable Solutions for Implicit Fractional Differential Equations Partial Hadamard Fractional Integral Equations and Inclusions Stability Results for Partial Hadamard Fractional Integral Equations and Inclusions Hadamard–Stieltjes Fractional Integral Equations Ulam Stabilities for Random Hadamard Fractional Integral Equations

The Principles of the Differential and Integral Calculus and Their Application to Geometry

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Publisher :
ISBN 13 :
Total Pages : 426 pages
Book Rating : 4.0/5 (18 download)

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Book Synopsis The Principles of the Differential and Integral Calculus and Their Application to Geometry by : Washington MACCARTNEY

Download or read book The Principles of the Differential and Integral Calculus and Their Application to Geometry written by Washington MACCARTNEY and published by . This book was released on 1848 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Equations: A Practical Treatment, from Spectral Theory to Applications

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Publisher : Cambridge University Press
ISBN 13 : 9780521337427
Total Pages : 388 pages
Book Rating : 4.3/5 (374 download)

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Book Synopsis Integral Equations: A Practical Treatment, from Spectral Theory to Applications by : David Porter

Download or read book Integral Equations: A Practical Treatment, from Spectral Theory to Applications written by David Porter and published by Cambridge University Press. This book was released on 1990-09-28 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.

Advances in Differential and Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Advances in Differential and Integral Equations by : John A. Nohel

Download or read book Advances in Differential and Integral Equations written by John A. Nohel and published by . This book was released on 1969 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Short Treatise on the Principles of the Differential and Integral Calculus

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Author :
Publisher : Rarebooksclub.com
ISBN 13 : 9781230191805
Total Pages : 26 pages
Book Rating : 4.1/5 (918 download)

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Book Synopsis A Short Treatise on the Principles of the Differential and Integral Calculus by : Baden Powell

Download or read book A Short Treatise on the Principles of the Differential and Integral Calculus written by Baden Powell and published by Rarebooksclub.com. This book was released on 2013-09 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1829 edition. Excerpt: ... the same as that of-S, according to what was just observed, If the spiral change from concave to convex, 5? must change its sign, or at the point of inflexion-T-=0 or= oe. Hence the values of r, which gives either of these conditions, will shew the point of inflexion. ON THE DETERMINATION OF THE EX-PRESSION FOR THE RADIUS OF CUR-VATURE IN POLAR CURVES. The expression for the radius of curvature, referred to rectangular coordinates, assuming the positive sign for y, is That this value of y may be expressed in terms of the polar variables, we must eliminate the differential coefficients which enter into the formula by means of the following equations, x-r cos. 8, y--r sin. 8; which, being differentiated, and the results divided the one by the other, we shall obtain dy _ dr sin. 6 + r cos. 8 d8 dx dr cos. 6--r sin. 8 d8' and, representing the two terms of this fraction by m and n, we shall have m = dr sin. 8 + r cos. 8 d8, n--dr cos. 8--r sin. 8 d8. and consequently dy_m dx n dy2 _ m', dx2 n2 ' by means of which last equation we find for the numerator of the value of y, 3 and raising each term of this fraction to the power-, 3 and observing that the power-of n2 is n3, we have and dividing the first side of this equation by dx, and the second by, which is equivalent to dx, we shall have d'y _ ndm--mdu di.2 n1 By means of these values given by the two last equations, the expression for the radius of curvature becomes, (m2 + n2f y-ndm-mdn and we have now only to transform this equation into a function of 6 and r; for which purpose we must determine first the value of n2 + m2, by adding the squares of the value of m and n, and reducing by means of the equation sin.'9 + cos.'9 = I t Wfteft we shall find n2 + m2 = dr2 + r dS2. To obtain...

Methods in Nonlinear Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401599866
Total Pages : 221 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Methods in Nonlinear Integral Equations by : R Precup

Download or read book Methods in Nonlinear Integral Equations written by R Precup and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis.

Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521806152
Total Pages : 620 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner

Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Theory of Ordinary Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Theory of Ordinary Differential Equations by : Randal H. Cole

Download or read book Theory of Ordinary Differential Equations written by Randal H. Cole and published by . This book was released on 1968 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential and Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Differential and Integral Equations by :

Download or read book Differential and Integral Equations written by and published by . This book was released on 2001 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Nonliner Differential and Integral Equations

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Publisher :
ISBN 13 :
Total Pages : 588 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Introduction to Nonliner Differential and Integral Equations by : U.S. Atomic Energy Commission

Download or read book Introduction to Nonliner Differential and Integral Equations written by U.S. Atomic Energy Commission and published by . This book was released on 1960 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: