Differential Equations
eBook - PDF

Differential Equations

  1. 288 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Differential Equations

Book details
Table of contents
Citations

About This Book

Differential Equations is a collection of papers from the "Eight Fall Conference on Differential Equations" held at Oklahoma State University in October 1979. The papers discuss hyperbolic problems, bifurcation function, boundary value problems for Lipschitz equations, and the periodic solutions of systems of ordinary differential equations. Some papers deal with the existence of periodic solutions for nonlinearly perturbed conservative systems, the saddle-point theorem, the periodic solutions of the forced pendulum equation, as well as the structural identification (inverse) problem for illness-death processes. One paper presents an elementary proof of the work of deOliveira and Hale, and applies the stability for autonomous systems in the critical case of one zero root. Another paper explains the necessary and sufficient conditions for structural identification prior to application in states of illness-death processes. An illness-death process is a continuous Markov model with n illness (transient) states each having one (and only one) transfer into a death state. The paper examines two theorems whether these apply to an illness-death process under certain given elements. The collection is an ideal source of reference for mathematicians, students, and professor of calculus and advanced mathematics.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483262444
Topic
Mathematics
Subtopic
Calculus
Index
Mathematics

Table of contents

  1. Front Cover
  2. Differential Equations
  3. Copyright Page
  4. Table of Contents
  5. CONTRIBUTORS
  6. PREFACE
  7. CHAPTER 1. HYPERBOLIC PROBLEMS: EXISTENCE AND APPLICATIONS
  8. CHAPTER 2. STABILITY FROM THE BIFURCATION FUNCTION
  9. CHAPTER 3. BOUNDARY VALUE PROBLEMS FOR LIPSCHITZ EQUATIONS
  10. CHAPTER 4. PERIODIC SOLUTIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
  11. CHAPTER 5. BIFURCATION RESULTS FOR EQUATIONS WITH NONDIFFERENTIABLE NONLINEARITIES
  12. CHAPTER 6. THE STRUCTURE OF LIMIT SETS: A SURVEY
  13. CHAPTER 7. ON EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEARLY PERTURBED CONSERVATIVE SYSTEMS
  14. CHAPTER 8. START POINTS IN SEMI-FLOWS
  15. CHAPTER 9. A SADDLE-POINT THEOREM
  16. CHAPTER 10. GENERALIZED HOPF BIFURCATION IN Rn AND h-SYMPTOTIC STABILITY
  17. CHAPTER 11. THE POINCARÉ-BIRKHOFF "TWIST" THEOREM AND PERIODIC SOLUTIONS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
  18. CHAPTER 12. PERIODIC SOLUTIONS OF THE FORCED PENDULUM EQUATION
  19. CHAPTER 13. ON THE STRUCTURAL IDENTIFICATION (INVERSE) PROBLEM FOR ILLNESS-DEATH PROCESSES
  20. CHAPTER 14. COMPUTER SYMBOLIC SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH ARBITRARY BOUNDARY CONDITIONS BY THE TAYLOR SERIES
  21. CHAPTER 15. A NOTE ON NONCONTINUABLE SOLUTIONS OF A DELAY DIFFERENTIAL EQUATION
  22. CHAPTER 16. THE CENTER OF A FLOW
  23. CHAPTER 17. ON MULTIPLE SOLUTIONS OF A NONLINEAR DIRICHLET PROBLEM
  24. CHAPTER 18. CERTAIN "NONLINEAR" DYNAMICAL SYSTEMS ARE LINEAR
  25. CHAPTER 19. A MODEL OF COMPLEMENT ACTIVATION BY ANTIGEN-ANTIBODY COMPLEXES
  26. CHAPTER 20. SOLVABILITY OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS USING A PRIORI ESTIMATES
  27. CHAPTER 21. ATTRACTORS IN GENERAL SYSTEMS
  28. CHAPTER 22. INFECTIOUS DISEASE IN A SPATIALLY HETEROGENEOUS ENVIRONMENT