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Delay Differential Equations and Dynamical Systems

Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990

  • Conference proceedings
  • © 1991

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Editors:
  1. Stavros Busenberg
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  2. Mario Martelli
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1475)

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Table of contents (22 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  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
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Delay Differential Equations and Dynamical Systems

  • Book Subtitle: Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990

  • Editors: Stavros Busenberg, Mario Martelli

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083474

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-540-54120-2Published: 26 July 1991

  • eBook ISBN: 978-3-540-47418-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 256

  • Topics: Analysis, Mathematical and Computational Biology

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