Elaydi, Saber N. An Introduction to Difference Equations : Springer-Verlag GmbH 2005 Gebunden Bestellnr: 0387230599
NEUWARE! 539 Seiten 119 tables This book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations, and also recent results on local and global stability of one-dimensional maps, a new section on the various notions of asymptoticity of solutions, a detailed proof of Levin-May Theorem, and the latest results on the LPA flour-beetle model. TOC:Preface.- List of Symbols.- Dynamics of First-Order Difference Equations.- Linear Difference Equations of Higher Order.- Systems of Linear Difference Equations.- Stability Theory.- Higher Order Scalar Difference Equations.- The Z-Transform Method and Volterra Difference Equations.- Oscillation Theory.- Asymptotic Behavior of Difference Equations.- Applications to Continued Fractions and Orthogonal Polynomials.- Control Theory.- Answers and Hints to Selected Problems.- Appendix A: Stability of Nonhyperbolic Fixed Points of Maps on the Real Line.- Vandermonde Matrix.- Stability of Nondifferentiable Maps.- Stable Manifold and Hartman-Grobman-Cushing Theorems.- Levin-May Theorem.- Classical Orthogonal Polynomials.- Identities and Formulas.- References.- Index. Sprache/Language: English Differential Equations, Calculus, Gleichung / Differenzengleichung, Differenzengleichung, Mathematical Analysis
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