eBook - PDF
Nonlinear Differential Equations
Invariance, Stability, and Bifurcation
- 370 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Nonlinear Differential Equations
Invariance, Stability, and Bifurcation
About this book
Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.
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Yes, you can access Nonlinear Differential Equations by Piero de Mottoni,Luigi Salvadori in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- 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
- CHAPTER 2. STABILITY PROBLEMS OF CHEMICAL NETWORKS
- CHAPTER 3. STABILITY AND GENERALIZED HOPF BIFURCATION THROUGH A REDUCTION PRINCIPLE
- CHAPTER 4. ALMOST PERIODICITY AND ASYMPTOTIC BEHAVIOR FOR THE SOLUTIONS OF A NONLINEAR WAWE EQUATION
- CHAPTER 5. DIFFERENTIABILITY OF THE SOLUTIONS WITH RESPECT TO THE INITIAL CONDITIONS
- CHAPTER 6. SOME REMARKS ON BOUNDEDNESS AND ASYMPTOTIC EQUIVALENCE OF ORDINARY DIFFERENTIAL EQUATIONS
- CHAPTER 7. PERIODIC SOLUTIONS FOR A SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS MODELLING THE EVOLUTION OF ORO-FAECAL DISEASES
- CHAPTER 8. GENERALIZED HOPF BIFURCATION
- CHAPTER 9. BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON NON-COMPACT INTERVALS
- CHAPTER 10. THE ELECTRIC BALLAST RESISTOR: HOMOGENEOUS AND NONHOMOGENEOUS EQUILIBRIA
- CHAPTER 11. EQUILIBRIA OF AN AGE-DEPENDENT POPULATION MODEL
- CHAPTER 12. A VARIATION-OF-CONSTANTS FORMULA FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF CONVOLUTION TYPE
- CHAPTER 13. AN EXAMPLE OF BIFURCATION IN HYDROSTATICS
- CHAPTER 14. SOME EXISTENCE AND STABILITY RESULTS FOR SOLUTIONS OF REACTION-DIFFUSION SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS
- CHAPTER 15. ON THE ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THE NONLINEAR EQUATION x + h (t,x) x + p2 (t) f (x) = 0
- CHAPTER 16. NUMERICAL METHODS FOR NONLINEAR BOUNDARY VALUE PROBLEMS AT RESONANCE
- CHAPTER 17. ON ORBITAL STABILITY AND CENTER MANIFOLDS
- CHAPTER 18. A BUNCH OF STATIONARY OR PERIODIC SOLUTIONS NEAR AN EQUILIBRIUM BY A SLOW EXCHANGE OF STABILITY
- CHAPTER 19. PERIODIC AND NONPERIODIC SOLUTIONS OF REVERSIBLE SYSTEMS
- CHAPTER 20. SOME PROBLEMS OF REACTION-DIFFUSION EQUATIONS
- CHAPTER 21. THE ROLE OF QUASI-SOLUTIONS IN THE STUDY OF DIFFERENTIAL EQUATIONS
- CHAPTER 22. SEMILINEAR EQUATIONS OF GRADIENT TYPE IN HILBERT SPACES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS
- CHAPTER 23. SUR LA DECOMPOSITIONS ASYMPTOTIQUE DES SYSTEMES DIFFERENTIELS FONDEE SUR DES TRANSFORMATIONS DE LIE
- CHAPTER 24. BIFURCATION OF PERIODIC SOLUTIONS FOR SOME SYSTEMS WITH PERIODIC COEFFICIENTS
- CHAPTER 25. GLOBAL ATTRACTIVITY FOR DIFFUSION DELAY LOGISTIC EQUATIONS
- CHAPTER 26. ON SUITABLE SPACES FOR STUDYING FUNCTIONAL EQUATIONS USING SEMIGROUP THEORY