Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 56, 1995 - Issue 3-4
Submit an article Journal homepage
11
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On the perturbation of the kernel for delay systems with continuous kernels

Gwendolen Hines Department of Mathematics and Statistics, University of Nebraska Licoln, NE
Pages 243-262 | Received 10 Nov 1992, Published online: 20 Jan 2011

References

  • Bélair , J. and Mackey , M.C. 1989 . Consumer Memory and Price Fluctuations in Commodity Markets . An Integrodifferential Model, J. Dyn. Diff. Eq. , 1 : 299 – 325 .
  • Busenberg , S.N. and Travis , C.C. 1982 . On the Use of Reducible Functional Differential Equations in Biological Models . J. Math. Anal. Appl , 89 : 46 – 66 .
  • Cohen , S.N. , Coutsias , E. and Neu , J. 1982 . “ Approximation of Functional Differential Equations by Differential Systems ” . In Volterra and Functional Differential Equations , 197 – 205 . Dekker .
  • Cohen , D.S. , Coutsias , E. and Neu , J. 1979 . Stable Oscillations in Single Species Growth Models with Hereditary Effects . Math. Biosciences , 44 : 255 – 267 .
  • Cohen , R. and Hilbert , D. 1953 . Methods of Mathematical Physics . Interscience , 1
  • Cushing , J.M. 1977 . Integrodifferential Equations and Delay Models in Population Dynamics , Springer-Verlag .
  • Ergen , W.K. 1954 . Kinetics of the Circulating Fuel Reactor . J. Appl Phys. , 25 : 702 – 711 .
  • Farkas , M. and Stépán , G. 1992 . On Perturbation of the Kernel in Infinite Delay Systems . ZAMM.Z. angew. Math. Mech. , 72 : 153 – 156 .
  • Hale , J.K. 1988 . Asymptotic Behaviour of Dissipative Systems . Am. Math. Soc ,
  • Hale , J.K. 1977 . Theory of Functional Differential Equations , Springer-Verlag .
  • Hale , J.K. and Kato , J. 1978 . Phase Space for Retarded Equations with Infinite Delay . fink. Ekvaciol , 21 : 11 – 41 .
  • Hines , G. 1992 . Upper Semicontinuity of Attractors with Respect to Parameter Dependent Delays , Vol. 99 , CDSNS preprint .
  • Hins , G. 1993 . “ Dependence of the Attractor on the Delay for Delay Equations ” . In PhD thesis , Georgia Institute of Technology .
  • Hino , Y. , Murakami , S. and Naito , T. 1991 . finctional Diflerential Equations with Infinite Delay , Springer-Verlag .
  • Hutchison , G.E. 1948 . Circular Causal Systems in Ecology . Ann. N. Y. Acad. Sci. , 50 : 221 – 246 .
  • Levin , J.J. and Nohel , J. 1964 . On a Nonlinear Delay Equation . J. Math. Ana. Appl. , 8 : 31 – 44 .
  • MacDonald , N. 1978 . Time Lags in Biological Models , Springer-Verlag .
  • May , R.M. 1973 . Time Delay Versus Stability in Population Models With Two or Three Trophic Levels . Ecology , 54 : 315 – 325 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.