New material, improvements and recent advances have been added to this second revised edition. The volume examines the general theory for constant coefficient operators, elliptic operators, the L 2 theory for operators bounded from below, and self-adjoint operators. A comprehensive theory for second order operators is given, and applied to quantum mechanical systems of particles. Since many of the topics treated here are of interest to chemists, engineers, mathematicians and physicists, the volume begins with background and reference material.
Author(s): Robert E. O'Malley (Eds.)
Series: Applied Mathematics and Mechanics 14
Edition: 2 Sub
Publisher: North-Holland
Year: 1974
Language: English
Pages: 1-206
City: New York
Content:
Applied Mathematics and Mechanics
Page ii
Front Matter
Page iii
Copyright page
Page iv
Preface
Pages vii-viii
Chapter 1 - First Concerns
Pages 1-26
Chapter 2 - The Regular Perturbation Method
Pages 27-34
Chapter 3 - Linear Boundary Value Problems
Pages 35-75
Chapter 4 - Nonlinear Initial Value Problems
Pages 76-114
Chapter 5 - Nonlinear Boundary Value Problems
Pages 115-138
Chapter 6 - The Singularly Perturbed Linear State Regulator Problem
Pages 139-156
Chapter 7 - Boundary Value Problems with Multiple Solutions Arising in Chemical Reactor Theory
Pages 157-167
Chapter 8 - Some Turning Point Problems
Pages 168-189
References
Pages 190-201
Index
Pages 203-206
