Classical methods in ordinary differential equations :
General Material Designation
[Book]
Other Title Information
with applications to boundary value problems /
First Statement of Responsibility
Stuart P. Hastings, J. Bryce McLeod
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xvii, 373 pages :
Other Physical Details
illustrations ;
Dimensions
26 cm
SERIES
Series Title
Graduate studies in mathematics ;
Volume Designation
v. 129
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
An introduction to shooting methods -- Some boundary value problems for the Painlevé 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