Ordinary differential equations 1971 NRL-MRC conference.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Naval Research Laboratory (U.S.). Mathematics Research Center
Otros Autores: Weiss, Leonard, 1934- (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, Academic Press, 1972.
Temas:
Differential equations > Congresses.
�Equations diff�erentielles > Congr�es.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations
Gewone differentiaalvergelijkingen.
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Ordinary Differential Equations: 1971 NRL-MRC Conference; Copyright Page; Table of Contents; PARTICIPANTS; PREFACE; PART I: INVITED PAPERS; CHAPTER 1. A GENERAL APPROACH TO LINEAR PROBLEMS FOR NONLINEAR ORDINARY DIFFERENTIALEQUATIONS; REFERENCES; CHAPTER 2. DIFFERENTIAL RELATIONS; 1. Introduction; 2. The Collection W; 3. Initial Value Problems; 4. An Example; 5. Conclusion; REFERENCES; CHAPTER 3. CONDITIONS FOR BOUNDEDNESS OF SYSTEMS OFORDINARY DIFFERENTIAL EQUATIONS; REFERENCES; CHAPTER 4. ON A GENERALIZATION OF THE MORSE INDEX; REFERENCES
  • CHAPTER 5. EQUATIONS MODELLING POPULATION GROWTH, ECONOMICGROWTH, AND GONORRHEA EPIDEMIOLOGY1. A Population Model; 2. Infectious Disease Model for Gonorrhea; 3. An Economic Interpretation; 4. Principal Results; 5. Proof of Theorem 1; 6. Linear Equations; Acknowledgements; REFERENCES; CHAPTER 6. ABSOLUTE STABILITY OF SOME INTEGRO-DIFFERENTIAL SYSTEMS; REFERENCES; CHAPTER 7. A NEW TECHNIQUE FOR PROVING THE EXISTENCEOF ANALYTIC FUNCTIONS; 1. The Iteration Procedure; 2. A Comparison of Some Problems; 3. The Convergence Problem; 4. Bounded Dominants; 5. The Proof Plan for Convergence
  • 6. A Proof OutlineREFERENCES; CHAPTER 8. POTENTIALS WITH CLOSED TRAJECTORIESON SURFACES OF REVOLUTION; Acknowledgement; REFERENCES; CHAPTER 9. LOCAL BEHAVIOR OF AUTONOMOUS NEUTRAL FUNCTIONALDIFFERENTIAL EQUATIONS; REFERENCES; CHAPTER 10. EXTREMAL PROPERTIES OF BICONVEX CONTINGENTEQUATIONS; 1. Introduction; 2. Reduction of Theorem I to the Integrally Bounded Case; 3. Some Properties of Contingent Equations; 4. Continuity of Biconvex Mappings; 5. Discrete Problem; 6. Proof of Theorem I; REFERENCES; CHAPTER 11. ASYMPTOTIC DISTRIBUTION OF EIGENVALUES; REFERENCES
  • CHAPTER 12. ON LOGARITHMIC DERIVATIVES OF SOLUTIONS OF DISCONJUGATELINEAR nTH ORDER DIFFERENTIAL EQUATIONS1. The Main Theorem; 2. Wronskian Identities; 3. The Solution; 4. Proof of THEOREM; REFERENCES; CHAPTER 13. UNIQUENESS AND EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMSFOR ORDINARY DIFFERENTIAL EQUATIONS; 1. Introduction; 2. A Strengthened Form of Proposition 1; 3. Proposition 1 for Equations of Orders 2 and 3; 4. Generalized Solutions; REFERENCES; CHAPTER 14. REALIZATION OF CONTINUOUS-TIME LINEAR DYNAMICAL SYSTEMS:RIGOROUS THEORY IN THE STYLE OF SCHWARTZ
  • 1. Background and Intuitive Discussion2. Review of the Algebraic Theory in the Discrete-Time Case; 3. Definition of Continuous-Time Input/Output Maps; 4. Free and Cofree Modules; 5. Definition of Continuous-Time Input/Output Maps; 6. Nerode Equivalence Classes for Generalized Functions; 7. The Internal Differential Equations; 8. Remarks Concerning the Literature of the Problem; REFERENCES; CHAPTER 15. DISSIPATIVE SYSTEMS; 1. Introduction; 2. Processes; 3. The Principal Results To Be Generalized; 4. Retarded Functional Differential Equations

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