Author: Y. Takeuchi
Publisher: World Scientific Publishing Company
Keywords: volterra, systems, lotka, properties, dynamical, global
Number of Pages: 302
Published: 1996-06
List price: $54.00
ISBN-10: 9810224710
ISBN-13: 9789810224714
Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the
Authors:Virginia Volterra, Carol J. Erting,
Publisher: Gallaudet University Press
Keywords: children, deaf, hearing, language, gesture
Number of Pages: 335
Published: 1998-10-14
List price: $47.95
ISBN-10: 1563680785
ISBN-13: 9781563680786
Now available in paperback; ISBN 1-56368-078-5
Authors:G. Gripenberg, S. O. Londen, O. Staffans,
Publisher: Cambridge University Press
Keywords: mathematics, applications, encyclopedia, equations, integral, functional, volterra
Number of Pages: 724
Published: 1990-03-30
List price: $270.00
ISBN-10: 0521372895
ISBN-13: 9780521372893
The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of no
Author: Martin Vath
Publisher: CRC Press
Keywords: applied, mathematics, functions, vector, integral, equations, volterra
Number of Pages: 364
Published: 2000-01-03
List price: $159.95
ISBN-10: 0824703421
ISBN-13: 9780824703424
"Develops and applies topological and algebraic methods to study abstract Volterra operators and differential equations arising in models for ""real-world"" phenomena in physics, biology, and a host of other disciplines. Presents completely new results that appear in book form for the first time."
Nonclassical Linear Volterra Equations of the First Kind (Inverse and Ill-Posed Problems Series, 39)
Author: A. S. Apartsyn
Publisher: Walter de Gruyter
Keywords: inverse, posed, problems, series, kind, first, linear, volterra, equations, nonclassical
Number of Pages: 168
Published: 2003-04
List price: $160.00
ISBN-10: 9067643750
ISBN-13: 9789067643757
This monograph in the Inverse and Ill-Posed Problems Series deals with linear integral Volterra equations of the first kind with variable upper and lower limits of integration. Volterra operators of this type are the basic operators for integral models of dynamic systems. The corresponding conventionally well-posed problems were subject of systematic study: existence and uniqueness theorems were proved, estimates of the inverse operator norms for suitable pairs of functional spaces were obtained, etc. Consideration was also given to quadrature methods for the numerical solution of such equatio
Author: I. C. Gohberg and M. G. Krein
Publisher: American Mathematical Society
Keywords: translations, mathematical, monographs, space, hilbert, applications, volterra, operators, theory
Number of Pages: 430
Published: 2004-06-01
List price: $129.00
ISBN-10: 0821836277
ISBN-13: 9780821836279
An abstract Volterra operator is, roughly speaking, a compact operator in a Hilbert space whose spectrum consists of a single point $lambda=0$. The theory of abstract Volterra operators, significantly developed by the authors of the book and their collaborators, represents an important part of the general theory of non-self-adjoint operators in Hilbert spaces. The book, intended for all mathematicians interested in functional analysis and its applications, discusses the main ideas and results of the theory of abstract Volterra operators. Of particular interest to analysts and specialists in
Author: Judith R. Goodstein
Publisher: American Mathematical Society
Keywords: mathematician, history, mathematics, extraordinary, times, chronicles, life, volterra
Number of Pages: 310
Published: 2007-02-13
List price: $59.00
ISBN-10: 0821839691
ISBN-13: 9780821839690
The life of Vito Volterra, one of the finest scientists and mathematicians Italy ever produced, spans the period from the unification of the Italian peninsula in 1860 to the onset of the Second World War--an era of unparalleled progress and unprecedented turmoil in the history of Europe. Born into an Italian Jewish family in the year of the liberation of Italy’s Jewish ghettos, Volterra was barely in his twenties when he made his name as a mathematician and took his place as a leading light in Italy’s modern scientific renaissance. By his early forties, he was a world-renowned math
