Differential-Difference Equations/Differential-Differenzengleichungen PDF Download

Author: COLLATZ
Publisher: Birkhäuser
ISBN: 3034867670
Category : Science
Languages : en
Pages : 190

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Author: COLLATZ
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 204

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Author: R.P. Agarwal
Publisher: Springer Science & Business Media
ISBN: 9401591717
Category : Mathematics
Languages : en
Pages : 425

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Book Description
In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors' recent work, reflecting some of the major advances in the field as well as the diversity of the subject. Audience: This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

Author: Leonard C. Maximon
Publisher: Springer
ISBN: 3319297368
Category : Science
Languages : en
Pages : 166

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Book Description
This book, intended for researchers and graduate students in physics, applied mathematics and engineering, presents a detailed comparison of the important methods of solution for linear differential and difference equations - variation of constants, reduction of order, Laplace transforms and generating functions - bringing out the similarities as well as the significant differences in the respective analyses. Equations of arbitrary order are studied, followed by a detailed analysis for equations of first and second order. Equations with polynomial coefficients are considered and explicit solutions for equations with linear coefficients are given, showing significant differences in the functional form of solutions of differential equations from those of difference equations. An alternative method of solution involving transformation of both the dependent and independent variables is given for both differential and difference equations. A comprehensive, detailed treatment of Green’s functions and the associated initial and boundary conditions is presented for differential and difference equations of both arbitrary and second order. A dictionary of difference equations with polynomial coefficients provides a unique compilation of second order difference equations obeyed by the special functions of mathematical physics. Appendices augmenting the text include, in particular, a proof of Cramer’s rule, a detailed consideration of the role of the superposition principal in the Green’s function, and a derivation of the inverse of Laplace transforms and generating functions of particular use in the solution of second order linear differential and difference equations with linear coefficients.

Author: P. Forrester
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Glenn Fulford
Publisher: Cambridge University Press
ISBN: 9780521446181
Category : Mathematics
Languages : en
Pages : 420

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Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.

Author: Antonio Galves
Publisher: American Mathematical Soc.
ISBN: 0821828606
Category : Mathematics
Languages : en
Pages : 370

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Book Description
This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.

Author: Hüseyin Kocak
Publisher: Springer Science & Business Media
ISBN: 1468402714
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This is a somewhat unusual book with a dual purpose. First, it is a manual to help readers learn how to use PRASER, the program on the accompanying diskette for mM personal computers. Second, it is an illustrated guide to the wonderful world of experimental and theoretical dynamics, one which presents dozens of concrete examples ranging from the most rudimentary, appropriate for the beginning student, to the highly complex, suitable for the research mathematician. Before indicating what PRASER does and how it works, let me describe how it came a.bout. During the past decade the field of differential and difference equations has witnessed a remarkable explo sion of knowledge, not only in theory but also in applications to discip lines as diverse as biology and fluid mechanics. Computers have played a crucial role in this process by making possible detailed analyses of specific systems. In this regard, one need only mention the work of Lorenz on strange attractors and the discoveries of Feigenbaum on the bifurcations of interval maps.

Author: Saber Elaydi
Publisher: Springer Science & Business Media
ISBN: 0387230599
Category : Mathematics
Languages : en
Pages : 547

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Book Description
A must-read for mathematicians, scientists and engineers who want to understand difference equations and discrete dynamics Contains the most complete and comprehenive analysis of the stability of one-dimensional maps or first order difference equations. Has an extensive number of applications in a variety of fields from neural network to host-parasitoid systems. Includes chapters on continued fractions, orthogonal polynomials and asymptotics. Lucid and transparent writing style

Author: Bellman
Publisher: Academic Press
ISBN: 0080955142
Category : Mathematics
Languages : en
Pages : 484

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Book Description
Differential-Difference Equations