Author: Giovanni SANSONE (and CONTI (Roberto))Publisher:
ISBN:
Category :
Languages : en
Pages : 535
Book Description
Equazioni Differenziali Non Lineari. Non-Linear Differential Equations. Revised Edition ... Translated from the Italian by Ainsley H. Diamond
Author: Giovanni SANSONE (and CONTI (Roberto))Publisher:
ISBN:
Category :
Languages : en
Pages : 535
Book Description
Non-linear Differential Equations
Author: Giovanni SansoneNon-linear differential equations
Author: Giovanni SansonePublisher:
ISBN:
Category : Differential equations, Non-linear
Languages : en
Pages : 535
Book Description
Nonlinear Differential Equations
Author: Raimond A. StrublePublisher: Courier Dover Publications
ISBN: 0486817547
Category : Mathematics
Languages : en
Pages : 289
Book Description
Detailed treatment covers existence and uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems, stability of nonlinear systems, and two-dimensional systems. 1962 edition.
Non-Linear Differential Equations
Author: G. SansonePublisher: Elsevier
ISBN: 1483135969
Category : Mathematics
Languages : en
Pages : 553
Book Description
International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Non-linear Differential Equations
Author: Giovanni SansoneNonlinear Ordinary Differential Equations
Author: Dominic JordanPublisher: OUP Oxford
ISBN: 0191525995
Category : Mathematics
Languages : en
Pages : 540
Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Non-linear Differential Equations
Author: Giovanni SansoneBibliography for Dynamical Topology
Author: Walter Helbig GottschalkPublisher:
ISBN:
Category : Topological dynamics
Languages : en
Pages : 362
Book Description
Nonlinear Ordinary Differential Equations
Author: R. GrimshawPublisher: CRC Press
ISBN: 9780849386077
Category : Mathematics
Languages : en
Pages : 342
Book Description
Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.