差分方程导论 : 第3版

fundamental recurrence formula

9.2 convergence of continued fractions

9.3 continued fractions and infinite series

9.4 classical orthogonal polynomials

9.5 the fundamental recurrence formula for orthogonal polynomials

9.6 minimal solutions, continued fractions, and orthogonal polynomials

10 control theory

10.1 introduction

10.1.1 discrete equivalents for continuous systems

10.2 controllability

10.2.1 controllability canonical forms

10.30bservability

10.3.10bservability canonical forms

10.4 stabilization by state feedback （design via pole placement）

10.4.1 stabilization of nonlinear systems by feedback

10.5 observers

10.5.1 eigenvalue separation theorem

a stability of nonhyperboli fixed points of maps on the real line

a.1 local stability of nonoscillatory nonhyperbolic maps

a.2 local stability of oscillatory nonhyperbolic maps

a.2.1 results with g（x）

b the vandermonde matrix

c stability of nondifferentiable maps

d stable manifold and the hartman-grobman-cushing theorems

d.1 the stable manifold theorem

d.2 the hartman-grobman-cushing theorem

e the levin-may theorem

f classical orthogonal polynomials

g identities and formulas

answers and hints to selected problems

maple programs

references

index

《差分方程导论(英文版)(第3版)》是由世界图书出版公司出版的。 《差分方程导论(英文版)(第3版)》是一本学习差分方程的本科生教程。书中将差分方程的经典方法和现代方法有机结合，包括了最新最权威的一手材料，并且在表述上足够简洁明了，适合高年级的本科生和研究生使用。《差分方程导论(英文版)(第3版)》是第三版，这版中包括了更多的证明，图表和应用，增加了许多新的内容，如，讲述高阶尺度差分方程的一章；有关一维映射的局部稳定性和全局稳定性的内容；介绍解的渐进思想的一节；levin-may定理的详细证明以及lap flour-beetle模型的最新结果。读者对象：数学专业的本科生，研究生和相关的科研人员。【作者简介】作者：（美国）埃莱迪（Saber Elaydi）