By Qingkai Kong

this article is a rigorous remedy of the fundamental qualitative conception of normal differential equations, at first graduate point. Designed as a versatile one-semester direction yet delivering adequate fabric for 2 semesters, a quick path covers center issues comparable to preliminary worth difficulties, linear differential equations, Lyapunov balance, dynamical platforms and the Poincaré—Bendixson theorem, and bifurcation idea, and second-order issues together with oscillation concept, boundary worth difficulties, and Sturm—Liouville difficulties. The presentation is obvious and easy-to-understand, with figures and copious examples illustrating the that means of and motivation in the back of definitions, hypotheses, and basic theorems. A thoughtfully conceived number of workouts including solutions and tricks strengthen the reader's realizing of the fabric. must haves are restricted to complex calculus and the simple conception of differential equations and linear algebra, making the textual content compatible for senior undergraduates as well.

Show description

Read or Download A Short Course in Ordinary Differential Equations (Universitext) PDF

Similar differential equations books

Read e-book online Basic Theory of Ordinary Differential Equations PDF

Offering readers with the very uncomplicated wisdom essential to commence study on differential equations with specialist skill, the choice of issues right here covers the tools and effects which are appropriate in various assorted fields. The ebook is split into 4 elements. the 1st covers primary life, distinctiveness, smoothness with recognize to facts, and nonuniqueness.

Get Nonautonomous Dynamical Systems in the Life Sciences PDF

Nonautonomous dynamics describes the qualitative habit of evolutionary differential and distinction equations, whose right-hand aspect is explicitly time based. Over fresh years, the speculation of such structures has constructed right into a hugely energetic box concerning, but recognizably particular from that of classical self reliant dynamical structures.

New PDF release: Partial Differential Equations: Modeling, Analysis and

This booklet is dedicated to the learn ofpartial differential equation difficulties either from the theoretical and numericalpoints of view. After offering modeling facets, it develops the theoretical research of partialdifferential equation difficulties for the 3 major periods of partialdifferential equations:elliptic, parabolic and hyperbolic.

New PDF release: Ricci Flow and Geometric Applications: Cetraro, Italy 2010

Proposing a few awesome contemporary achievements in differential geometry and topology, this quantity specializes in effects bought utilizing recommendations in response to Ricci circulate. those principles are on the middle of the examine of differentiable manifolds. numerous extremely important open difficulties and conjectures come from this sector and the concepts defined herein are used to stand and clear up a few of them.

Extra info for A Short Course in Ordinary Differential Equations (Universitext)

Example text

Download PDF sample

A Short Course in Ordinary Differential Equations (Universitext) by Qingkai Kong


by George
4.2

Rated 4.34 of 5 – based on 9 votes