Nonlinear Phenomena in Mathematical Sciences

Released on by V. Lakshmikantham
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  • Nonlinear Phenomena in Mathematical Sciences Book Detail

  • Author : V. Lakshmikantham
  • Release Date : 2014-05-12
  • Publisher : Elsevier
  • Genre : Mathematics
  • Pages : 1062
  • ISBN 13 : 1483272052
  • File Size : 24,24 MB
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Nonlinear Phenomena in Mathematical Sciences by V. Lakshmikantham PDF Summary

Book Description: 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.

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Nonlinear Singular Perturbation Phenomena

Nonlinear Singular Perturbation Phenomena

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Our purpose in writing this monograph is twofold. On the one hand, we want to collect in one place many of the recent results on the exist ence and asymptotic b