Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina PDF

By R.P. Kuzmina

ISBN-10: 0792364007

ISBN-13: 9780792364009

ISBN-10: 9048155002

ISBN-13: 9789048155002

during this publication we examine a Cauchy challenge for a approach of standard differential equations with a small parameter. The booklet is split into th ree elements in line with 3 ways of related to the small parameter within the process. partially 1 we research the quasiregular Cauchy challenge. Th at is, an issue with the singularity integrated in a bounded functionality j , which relies on time and a small parameter. This challenge is a generalization of the regu­ larly perturbed Cauchy challenge studied by way of Poincare [35]. a few differential equations that are solved by way of the averaging strategy could be lowered to a quasiregular Cauchy challenge. to illustrate, in bankruptcy 2 we ponder the van der Pol challenge. partially 2 we examine the Tikhonov challenge. this can be, a Cauchy challenge for a process of normal differential equations the place the coefficients by means of the derivatives are integer levels of a small parameter.

Show description

Read Online or Download Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications) PDF

Similar differential equations books

Get Random Fields and Stochastic Partial Differential Equations PDF

This publication considers a few versions defined by way of partial dif­ ferential equations and boundary stipulations with chaotic stochastic disturbance. In a framework of stochastic Partial Differential Equa­ tions an technique is advised to generalize recommendations of stochastic Boundary difficulties. the most subject issues probabilistic features with purposes to recognized Random Fields types that are consultant for the corresponding stochastic Sobolev areas.

Get Integral Equations, Boundary Value Problems and Related PDF

During this quantity, we document new effects approximately a variety of theories and techniques of necessary equation, boundary price difficulties for partial differential equations and practical equations, and critical operators together with singular critical equations, functions of boundary worth difficulties and fundamental equations to mechanics and physics, numerical equipment of necessary equations and boundary worth difficulties, theories and techniques for inverse difficulties of mathematical physics, Clifford research and similar difficulties.

Read e-book online An Introduction to Markov Processes (Graduate Texts in PDF

This ebook presents a rigorous yet straight forward advent to the speculation of Markov techniques on a countable nation house. it may be obtainable to scholars with a fantastic undergraduate heritage in arithmetic, together with scholars from engineering, economics, physics, and biology. themes lined are: Doeblin's idea, normal ergodic homes, and non-stop time techniques.

Nichtlineare Randwertprobleme: Band 2 (De Gruyter Studium) by Martin Hermann PDF

Band 2 von Numerik gewöhnlicher Differentialgleichungen löst nichtlineare Randwertprobleme einfach und anschaulich. Der Zweibänder ist für die Einführungsvorlesung konzipiert und beide Bände decken den gesamten Bereich von den klassischen Techniken bis hin zu den modernen Algorithmen ab. Die Verfahren werden mathematisch exakt beschrieben und deren Umsetzung in eine Programmiersprache anhand von Beispielen in MATLAB illustriert.

Additional info for Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications)

Example text

Download PDF sample

Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications) by R.P. Kuzmina

by Daniel

Rated 4.66 of 5 – based on 28 votes