Presents simple analytic methods which are readily accessible for use in applications. These include transformations, phase plane analysis, integral equation formulation, shooting arguments, local and asymptotic analysis, singular point analysis, and others. The applications, reflecting the research
Nonlinear ordinary differential equations and their applications
โ Scribed by P.L. Sachdev
- Publisher
- M. Dekker
- Year
- 1991
- Tongue
- English
- Leaves
- 606
- Series
- Monographs and textbooks in pure and applied mathematics 142
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Presents simple analytic methods which are readily accessible for use in applications. These include transformations, phase plane analysis, integral equation formulation, shooting arguments, local and asymptotic analysis, singular point analysis, and others. The applications, reflecting the research
๐ SIMILAR VOLUMES
This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations.ย The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed. Se
This book is good overall. It covers all of the basics adequately: existence/uniqueness, linear systems, Floquet theory, stability, perturbation and averaging methods, etc. The final chapter is devoted to Hamiltonian systems which goes into greater detail than an introductory mechanics course might.
This text has been especially written for advanced undergraduate students in mathematics, applied mathematics, engineering and, to a lesser extent, chemistry and physics. In writing the text, the author recognises and attempts to bridge the gap which exists between standard elementary courses on dif