Difference equations : an introduction with applications

Walter G. Kelley, Allan C. Peterson

"Difference Equations, Second Edition" presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. The features include: phase plane analysis for systems of two linear equations; use of equations of variation to approximate solutions; fundamental matrices and Floquet theory for periodic systems; LaSalle invariance theorem; Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory; appendix on the use of Mathematica for analyzing difference equations; exponential generating functions; and many new examples and exercises.

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  • Introduction. The Difference Calculus. Linear Difference Equations. Stability Theory. Asymptotic Methods. The Self-Adjoint Second Order Linear Equation. The Sturm-Liouville Problem. Discrete Calculus of Variations. Boundary Value Problems for Nonlinear Equations. Partial Difference Equations.

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書名 Difference equations : an introduction with applications
著作者等 Kelley, Walter G.
Peterson, Allan C.
出版元 Academic Press
刊行年月 c2001
版表示 2nd ed.
ページ数 ix, 403 p.
大きさ 25 cm
ISBN 012403330X
NCID BA47114186
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言語 英語
出版国 アメリカ合衆国