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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[目次]

  • 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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この本の情報

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
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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