Classical methods in ordinary differential equations:with applications to boundary value problems

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Bibliographic Details
Main Authors: Hastings Stuart P., 1937-
Group Author: McLeod J. Bryce, 1929-
Published: American Mathematical Society,
Publisher Address: Providence, R.I.
Publication Dates: c2012.
Literature type: Book
Language: English
Series: Graduate studies in Mathematics ; v. 129
Subjects:
Carrier Form: xvii, 373 p.: ill. ; 26 cm.
ISBN: 9780821846940 (hbk. : alk. paper)
0821846949 (hbk. : alk. paper)
Index Number: O175
CLC: O175.8
Call Number: O175.8/H358-1
Contents: Includes bibliographical references and index.
An introduction to shooting methods -- Some boundary value problems for the Painleve transcendents -- Periodic solutions of a higher order system -- A linear example -- Homoclinic orbits of the FitzHugh-Nagumo equations -- Singular perturbation problems-rigorous matching -- Asymptotics beyond all orders -- Some solutions of the Falkner-Skan equation -- Poiseuille flow : perturbation and decay -- Bending of a tapered rod ; variational methods and shooting -- Uniqueness and multiplicity -- Shooting with more parameters -- Some problems of A.C. Lazer -- Chaotic motion of a pendulum -- Layers and spikes in reaction-diffusion equations, I -- Uniform expansions for a class of second order problems -- Layers and spikes in reaction-diffusion equations, II -- Three unsolved problems.