Sachdev P.L. — Nonlinear ordinary differential equations and their applications
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Название: Nonlinear ordinary differential equations and their applications
Автор: Sachdev P.L.
Аннотация:
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.
Three dimensional linear systems, canonical forms for331 Three dimensional linear systems, classification of singular points330 Three dimensional linear systems, phase space study of334—350 Transformations of nonlinear nonautonomous second order DE to Lie plane58 Transformations of nonlinear nonautonomous second order DE to phase plane and a subsidiary DE52 Transformations of nonlinear second order DE to integrable second order DE48 Transformations of Painleve equations442—452 Transformations, which do not "work"6265 Travelling waves for Fisher's equation305—306
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