Nonlinear Phenomena in Mathematical Sciences

Nonlinear Phenomena in Mathematical Sciences

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Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20, 1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.Tsokos, Chris P. (971), Department of Mathematics, University of South Florida, Tampa, Florida 33620. Turyn, Lawrenceaquot; ... Vorel, Zdenek (987), Department of Mathematics, University of Southern California, Los Angeles, California 90007. Walter ... aquot;Present address: Department of Mathematics and Statistics, University of Calgary, 2920a€“24th Avenue, N.W., Calgary, Alberta T2N 1N4, Canada. aquot; Presentanbsp;...

Title:Nonlinear Phenomena in Mathematical Sciences
Author: V. Lakshmikantham
Publisher:Elsevier - 2014-05-12

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