<p><P>The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria.
Nonlinear Differential Equations. Invariance, Stability, and Bifurcation
β Scribed by Piero De Mottoni, Luigi Salvadori
- Publisher
- Elsevier Inc, Academic Press Inc
- Year
- 1981
- Tongue
- English
- Leaves
- 353
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
ACADEMIC PRESS RAPID MANUSCRIPT REPRODUCTION, Page ii
Front Matter, Page iii
Copyright, Page iv
Contributors, Pages ix-x
Preface, Page xi
ABSTRACT NONLINEAR WAVE EQUATIONS: EXISTENCE, LINEAR AND MULTI-LINEAR CASES, APPROXIMATION, STABILITY, Pages 1-9, Norman W. Bazley
STABILITY PROBLEMS OF CHEMICAL NETWORKS, Pages 11-27, E. Beretta
STABILITY AND GENERALIZED HOPF BIFURCATION THROUGH A REDUCTION PRINCIPLE, Pages 29-40, S.R. Bernfeld, P. Negrini, L. Salvadori
ALMOST PERIODICITY AND ASYMPTOTIC BEHAVIOR FOR THE SOLUTIONS OF A NONLINEAR WAWE EQUATION, Pages 41-54, Marco Biroli
DIFFERENTIABILITY OF THE SOLUTIONS WITH RESPECT TO THE INITIAL CONDITIONS, Pages 55-57, V.I. Blagodatskikh
SOME REMARKS ON BOUNDEDNESS AND ASYMPTOTIC EQUIVALENCE OF ORDINARY DIFFERENTIAL EQUATIONS, Pages 59-64, Moses Boudourides
PERIODIC SOLUTIONS FOR A SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS MODELLING THE EVOLUTION OF ORO-FAECAL DISEASES, Pages 65-75, V. Capasso
GENERALIZED HOPF BIFURCATION, Pages 77-84, Silvia Caprino
BOUNDARY VALUE PROBLEMS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON NON-COMPACT INTERVALS, Pages 85-96, M. Cecchi, M. Marini, P.L. Zezza
THE ELECTRIC BALLAST RESISTOR: HOMOGENEOUS AND NONHOMOGENEOUS EQUILIBRIA, Pages 97-127, Nathaniel Chafee
EQUILIBRIA OF AN AGE-DEPENDENT POPULATION MODEL, Pages 129-132, Klaus Deimling
A VARIATION-OF-CONSTANTS FORMULA FOR NONLINEAR VOLTERRA INTEGRAL EQUATIONS OF CONVOLUTION TYPE, Pages 133-143, Odo Diekmann, Stephan van Gils
AN EXAMPLE OF BIFURCATION IN HYDROSTATICS, Pages 145-159, G. Fusco
SOME EXISTENCE AND STABILITY RESULTS FOR SOLUTIONS OF REACTION-DIFFUSION SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS, Pages 161-173, JesΓΊs HernΓ‘ndez
ON THE ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THE NONLINEAR EQUATION , Pages 175-182, N. Ianiro, C. Maffei
NUMERICAL METHODS FOR NONLINEAR BOUNDARY VALUE PROBLEMS AT RESONANCE, Pages 183-194, R. Kannan
ON ORBITAL STABILITY AND CENTER MANIFOLDS, Pages 195-206, Nicholas D. Kazarinoff
A BUNCH OF STATIONARY OR PERIODIC SOLUTIONS NEAR AN EQUILIBRIUM BY A SLOW EXCHANGE OF STABILITY, Pages 207-219, HansjΓΆrg KielhΓΆfer
PERIODIC AND NONPERIODIC SOLUTIONS OF REVERSIBLE SYSTEMS, Pages 221-242, Klaus KirchgΓ€ssner
SOME PROBLEMS OF REACTION-DIFFUSION EQUATIONS, Pages 243-258, V. Lakshmikantham
THE ROLE OF QUASI-SOLUTIONS IN THE STUDY OF DIFFERENTIAL EQUATIONS, Pages 259-268, S. Leela
SEMILINEAR EQUATIONS OF GRADIENT TYPE IN HILBERT SPACES AND APPLICATIONS TO DIFFERENTIAL EQUATIONS, Pages 269-282, Jean Mawhin
SUR LA DECOMPOSITIONS ASYMPTOTIQUE DES SYSTEMES DIFFERENTIELS FONDEE SUR DES TRANSFORMATIONS DE LIE, Pages 283-326, Ju.A. Mitropolsky
BIFURCATION OF PERIODIC SOLUTIONS FOR SOME SYSTEMS WITH PERIODIC COEFFICIENTS, Pages 327-338, P. de Mottoni, A. Schiaffino
GLOBAL ATTRACTIVITY FOR DIFFUSION DELAY LOGISTIC EQUATIONS, Pages 339-345, A. Schiaffino, A. Tesei
ON SUITABLE SPACES FOR STUDYING FUNCTIONAL EQUATIONS USING SEMIGROUP THEORY, Pages 347-357, Rosanna Villella-Bressan
π SIMILAR VOLUMES
<p><P>The book focuses on the dynamics of nonlinear oligopoly models. It discusses the classical Cournot model with a large variety of demand and cost functions that illustrate the many different types of possible best response functions and it shows the existence of unique and multiple equilibria.
<span>Oligopoly theory is one of the most intensively studied areas of mathematical economics. On the basis of the pioneering works of Cournot (1838), many res- rchers have developed and extensively examined the different variants of oligopoly models. Initially, the existence and uniqueness of the e
The Maslov index and global bifurcation for nonlinear boundary value problems / Alberto Boscaggin, Anna Capietto, and Walter Dambrosio -- Discrete-time nonautonomous dynamical systems / P.E. Kloeden, C. PoΜtzsche, and M. Rasmussen -- Resonance problems for some non-autonomous ordinary differential