Classical methods in ordinary differential equations:with applications to boundary value problems
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Main Authors: | |
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Group Author: | |
Published: |
American Mathematical Society,
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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. |