Nonlinear differential equations : invariance, stability and bifurcation /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: De Mottoni, Piero, Salvadori, Luigi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1981.
Temas:
Differential equations, Nonlinear > Congresses.
�Equations diff�erentielles non lin�eaires > Congr�es.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations, Nonlinear
Equations diff�erentielles nonlin�eaires > Congr�es.
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; Nonlinear Differential Equations: Invariance, Stability, and Bifurcation; Copyright Page; Table of Contents; Contributors; Preface; CHAPTER 1. ABSTRACT NONLINEAR WAVE EQUATIONS: EXISTENCE, LINEAR AND MULTI-LINEAR CASES, APPROXIMATION, STABILITY; 1. INTRODUCTION; 2. EXISTENCE THEORY OF BROWDER
  • HEINZ
  • von WAHL; 3. ASSUMPTION A IN SIMPLE CASES; 4. FAEDO-GALERKIN APPROXIMATIONS; 5. STABILITY; REFERENCES; CHAPTER 2. STABILITY PROBLEMS OF CHEMICAL NETWORKS; 1. DEFINITIONS AND NOMENCLATURE; 2. THEORY OF HORN, FEINBERG, JACKSON; 3. D-SYMMETRIZABILITY AND KNOT GRAPHS
  • 4. ON THERMODYNAMIC MEANING OF D-SYMMETRIZABILITYCONCLUSIONS; REFERENCES; CHAPTER 3. STABILITY AND GENERALIZED HOPF BIFURCATION THROUGH A REDUCTION PRINCIPLE; 1. INTRODUCTION; 2. RESULTS; 3. OUTLINE OF PROOF OF THEOREM ; REFERENCES; CHAPTER 4. ALMOST PERIODICITY AND ASYMPTOTIC BEHAVIOR FOR THE SOLUTIONS OF A NONLINEAR WAWE EQUATION; 1. INTRODUCTION; 2. ASYMTOTIC BEHAVIOR; REFERENCES; CHAPTER 5. DIFFERENTIABILITY OF THE SOLUTIONS WITH RESPECT TO THE INITIAL CONDITIONS; REFERENCES; CHAPTER 6. SOME REMARKS ON BOUNDEDNESS AND ASYMPTOTIC EQUIVALENCE OF ORDINARY DIFFERENTIAL EQUATIONS; REFERENCES
  • CHAPTER 7. PERIODIC SOLUTIONS FOR A SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS MODELLING THE EVOLUTION OF ORO-FAECAL DISEASES1. INTRODUCTION; 2. DEFINITIONS AND BASIC RESULTS; 3. EXISTENCE OF PERIODIC SOLUTIONS; REFERENCES; CHAPTER 8. GENERALIZED HOPF BIFURCATION; INTRODUCTION; 1. PRELIMINARIES; 2. EXISTENCE OF PERIODIC SOLUTION; 3. m+N-ASYMPTOTIC STABILITY. THE METHOD OF MALKIN; 4. ATTRACTIVITY OF THE PERIODIC ORBITS; REFERENCES; CHAPTER 9. BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON NON-COMPACT INTERVALS; REFERENCES
  • CHAPTER 10. THE ELECTRIC BALLAST RESISTOR: HOMOGENEOUS AND NONHOMOGENEOUS EQUILIBRIAINTRODUCTION; 1. THE MATHEMATICAL MODEL; 2. THE CASE OF CONSTANT CURRENT: A NONLINEAR SEMIGROUP; 3. THE CASE OF CONSTANT CURRENT: ASYMPTOTIC BEHAVIOR; 4. THE CASE OF CONSTANT CURRENT: STABILITY AND INSTABILITY OF EQUILIBRIA; 5. THE CASE OF CONSTANT VOLTAGE: GLOBAL STABILITY OF A HOMOGENEOUS EQUILIBRIUM; 6. THE CASE OF CONSTANT VOLTAGE: APPEARANCE OF STABLE NONHOMOGENEOUS EQUILIBRIA; REFERENCES; CHAPTER 11. EQUILIBRIA OF AN AGE-DEPENDENT POPULATION MODEL; REFERENCES
  • CHAPTER 12. A VARIATION-OF-CONSTANTS FORMULA FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF CONVOLUTION TYPE1. INTRODUCTION; 2. DEFINITION OF THE SEMIGROUP; 3. THE LINEAR CASE; 4. THE VARIATION-OF-CONSTANTS FORMULA; 5. A SPECIAL EQUATION; 6. CONCLUDING REMARKS; REFERENCES; CHAPTER 13. AN EXAMPLE OF BIFURCATION IN HYDROSTATICS; 1. INTRODUCTION; 2. THE ABSTRACT EQUATION DETERMINING EQUILIBRIA; 3. THE BIFURCATION EQUATION; 4. EXISTENCE OF NON-ZERO EQUILIBRIA; 5. CONCLUSION; REFERENCES

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