Local Methods of nonlinear differential equations PDF Download
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Author: Aleksandr Dmitrievic Brjuno
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Feliz Manuel Minhós
Publisher: MDPI
ISBN: 3036507108
Category : Mathematics
Languages : en
Pages : 158
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Book Description
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
Author: Aleksandr Dmitrievic Brjuno
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Y. N. Bibikov
Publisher: Springer
ISBN: 3540355278
Category : Mathematics
Languages : en
Pages : 155
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Book Description
Author: Aleksandr Dmitrievich Bri͡uno
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Author: Bruno Carpentieri
Publisher: BoD – Books on Demand
ISBN: 1839686561
Category : Mathematics
Languages : en
Pages : 374
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Book Description
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
Author: Harold Thayer Davis
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 600
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Book Description
Author: Aleksandr Dmitrievic Brjuno
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: R. Grimshaw
Publisher: Routledge
ISBN: 1351428098
Category : Mathematics
Languages : en
Pages : 336
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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.
Author: Harold Thayer Davis
Publisher: Courier Corporation
ISBN: 9780486609713
Category : Mathematics
Languages : en
Pages : 598
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Book Description
Topics covered include differential equations of the 1st order, the Riccati equation and existence theorems, 2nd order equations, elliptic integrals and functions, nonlinear mechanics, nonlinear integral equations, more. Includes 137 problems.
Author: Pavel Drabek
Publisher: CRC Press
ISBN: 9781584880363
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations. Keeping abreast of these developments is the goal of the regular meetings of nonlinear analysts held in the Czech Republic, the most recent of which formed the basis of this volume. The subject addressed by these authors is the theory of nonlinear differential equations, with focus on the quasilinear elliptic differential equations of the degenerate type. Their topics include:
