Ill–Posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory

Examines initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in mechanics and electromagnetic theories.

Frederick Bloom (Author)

9780898711714

Hardback, published 31 October 1981

232 pages
23.5 x 16.1 x 2 cm, 0.546 kg

Examines ill-posed, initial-history boundary-value problems associated with systems of partial-integrodifferential equations arising in linear and nonlinear theories of mechanical viscoelasticity, rigid nonconducting material dielectrics, and heat conductors with memory. Variants of two differential inequalities, logarithmic convexity, and concavity are employed. Ideas based on energy arguments, Riemann invariants, and topological dynamics applied to evolution equations are also introduced. These concepts are discussed in an introductory chapter and applied there to initial boundary value problems of linear and nonlinear diffusion and elastodynamics. Subsequent chapters begin with an explanation of the underlying physical theories.

Preface to the classics edition
Preface to the Second Edition
1: Introduction and Motivation
Part I. 2: Noncooperative Finite Games: Two-Person Zero-Sum
3: Noncooperative Finite Games: N-Person Nonzero-Sum
4: Static Noncooperative Infinite Games
Part II. 5: General Formulation of Infinite Dynamic Games
6: Nash and Saddle-Point Equilibria of Infinite Dynamic Games
7: Stackelberg Equilibria of Infinite Dynamic Games
8: Pursuit-Evasion Games
Appendix A: Mathematical Review
Appendix B: Some Notions of Probability Theory
Appendix C: Fixed Point Theorems
Bibliography
Table: Corollaries, Definitions, Examples, Lemmas, Propositions, Remarks and Theorems
Index.

Subject Areas: Miscellaneous items [WZ]