It is hoped that these notes will serve as an introduction to the subject of functional differential equations. The topics are very selective and represent only one particular viewpoint. Complementary material dealing with extensions of closely related topics are given in the notes at the end. A short bibliography is appended as source material for further study. The author is very grateful to the Mathematics Department at UCLA for having extended the invitation to give a series of lectures on functional differ­ ential equations during the Applied Mathematics Year, 1968-1969. The extreme interest and sincere criticism of the members of the audience were a constant source of inspiration in the preparation of the lectures as well as the notes. Except for Sections 6, 32, 33, 34 and some other minor modifications, the notes represent the material covered in two quarters at UCLA. The author wishes to thank Katherine McDougall and Sandra Spinacci for their excellent preparation of the text. The author is also indebted to Eleanor Addison for her work on the drawings and to Dr. H. T. Banks for his careful proofreading of this material. Jack K. Hale Providence March 4, 1971 v TABLE OF CONTENTS 1. INTRODUCTION •••••.•..••.•••••••••.•••..•.••••••.••••••.••.••.•••.••• 1 2 • A GENERAL INITIAL VALUE PROBLEM 11 3 • EXISTENCE 13 4. CONTINUATION OF SOLUTIONS 16 CONTINUOUS DEPENDENCE AND UNIQUENESS 21 5.

[by] J. Hale

Hale, Jack K

Copernicus

Telos

Applied mathematical sciences (Springer-Verlag New York Inc.), v. 3, New York, 1971

Applied mathematical sciences,, New York, New York State, 1971

Applied mathematical sciences, Vol. 3, New York, 1971

Softcover reprint of the original 1st ed. 1971, 1971

United States, United States of America

Volume 3, 1971

Bibliography: p. 227-236.
Second ed. published in 1977 under title: Theory of functional differential equations.

viii, 238 p. 26 cm
Second ed. published in 1977 under title: Theory of functional differential equations
Bibliography: p. 227-236

[by] J. Hale. Second Ed. Published In 1977 Under Title: Theory Of Functional Differential Equations. Bibliography: P. 227-236.

2023-06-28