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Differential equations = linear, non...
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Billingham, J.
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Differential equations = linear, nonlinear, ordinary, partial /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Differential equations/ A.C. King, J. Billingham, and S.R. Otto.
其他題名:
linear, nonlinear, ordinary, partial /
作者:
King, A. C.
其他作者:
Billingham, J.
出版者:
Cambridge ;Cambridge University Press, : 2003.,
面頁冊數:
xi, 541 p. :ill. ;26 cm.
內容註:
Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems.
標題:
Differential equations. -
電子資源:
http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=125101An electronic book accessible through the World Wide Web; click for information
ISBN:
0511078315 (electronic bk.)
Differential equations = linear, nonlinear, ordinary, partial /
King, A. C.
Differential equations
linear, nonlinear, ordinary, partial /[electronic resource] :A.C. King, J. Billingham, and S.R. Otto. - Cambridge ;Cambridge University Press,2003. - xi, 541 p. :ill. ;26 cm.
Includes bibliographical references (p. 534-535) and index.
Part one: Linear equations -- 1. Variable coefficient, second order, linear, ordinary differential equations -- 2. Legendre functions -- 3. Bessel functions -- 4. Boundary value problems, Green's functions and Sturm-Liouville theory -- 5. Fourier series and the fourier transform -- 6. Laplace transforms -- 7. Classification, properties and complex variable methods for second order partial differential equations -- Part two: Nonlinear equations and advanced techniques -- 8. Existence, uniqueness, continuity and comparison of solutions of ordinary differential equations -- 9. Nonlinear ordinary differential equations: Phase plane methods -- 10. Group theoretical methods -- 11. Asymptotic methods: Basic ideas -- 12. Asymptotic methods: Differential equations -- 13. Stability, instability and bifurcations -- 14. Time-optimal control in the phase plane -- 15. Introduction to chaotic systems.
Electronic reproduction.
Boulder, Colo. :
NetLibrary,
2005.
Available via World Wide Web.
ISBN: 0511078315 (electronic bk.)
Standard No.: 9780511078316 (electronic bk.)Subjects--Topical Terms:
517952
Differential equations.
Index Terms--Genre/Form:
542853
Electronic books.
LC Class. No.: QA371 / .K52 2003eb
Dewey Class. No.: 515/.35
Differential equations = linear, nonlinear, ordinary, partial /
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