Delay Differential Equations and Dynamical Systems

1. Front Matter

   Pages I-VIII

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2. A survey of differential equations with piecewise continuous arguments

   • Kenneth L. Cooke, Joseph Wiener

   Pages 1-15

3. Dynamics and delays

   • Jack K. Hale

   Pages 16-30

4. A brief survey of persistence in dynamical systems

   • Paul Waltman

   Pages 31-40

5. Periodic orbits of planar polynomial Liénard systems with a small parameter

   • Felix Albrecht, Gabriele Villari

   Pages 41-52

6. Hopf bifurcation in quasilinear reaction-diffusion systems

   • Herbert Amann

   Pages 53-63

7. Monotone semi-flows which have a monotone first integral

   • Ovide Arino

   Pages 64-75

8. The coincidence degree of some functional differential operators in spaces of periodic functions and related continuation theorems

   • Anna Capietto, Jean Mawhin, Fabio Zanolin

   Pages 76-87

9. On the stability of discrete equations and ordinary differential equations

   • L. A. V. Carvalho

   Pages 88-97

10. Systems of set-valued equations in Banach spaces

    • G. Conti, P. Nistri, P. Zecca

    Pages 98-109

11. Abstract volterra equations and weak topologies

    • C. Corduneanu

    Pages 110-115

12. Semigroups and renewal equations on dual Banach spaces with applications to population dynamics

    • Odo Diekmann, Mats Gyllenberg, Horst R. Thieme

    Pages 116-129

13. Estimates for spatio-temporally dependent reaction diffusion systems

    • W. E. Fitzgibbon, J. J. Morgan, R. S. Sanders, S. J. Waggoner

    Pages 130-146

14. The mountain circle theorem

    • G. Fournier, M. Willem

    Pages 147-160

15. Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations

    • Jeffery M. Franke, Harlan W. Stech

    Pages 161-175

16. The forced spherical pendulum does have forced oscillations

    • Massimo Furi, Maria Patrizia Pera

    Pages 176-182

17. Radial bounds for Schrödinger operators in euclidean domains

    • David Gurarie, Gerhard Kalisch, Mark Kon, Edward Landesman

    Pages 183-190

18. Jumping nonlinearity for 2nd order ODE with positive forcing

    • P. Habets, M. Ramos, L. Sanchez

    Pages 191-203

19. Moment conditions for a Volterra integral equation in a Banach space

    • Kenneth B. Hannsgen, Robert L. Wheeler

    Pages 204-209

20. Asymptotic behaviors of solutions of a system of linear ordinary differential equations as t→∞

    • William A. Harris Jr., Yasutaka Sibuya

    Pages 210-217

The meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers reviewing three areas of current research and seventeen research contributions. The research articles deal with qualitative properties of solutions of delay differential equations and with bifurcation problems for such equations and other dynamical systems. A companion volume in the biomathematics series (LN in Biomathematics, Vol. 22) contains contributions on recent trends in population and mathematical biology.

• Banach Space
• Delay differential equations
• Derivative
• Differentialgleichung
• Dynamisches System
• calculus
• differential equation
• dynamical systems
• ordinary differential equation
• parabolic systems
• stability

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