Ill-posed Problems for Integrodifferential Equations in Mechanics and Electromagnetic Theory (Studies in Applied and Numerical Mathematics v. 3)
By: Frederick Bloom (author)Hardback
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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.
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- ID: 9780898711714
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