Publication Cover
Applicable Analysis
An International Journal
Volume 20, 1985 - Issue 3-4
26
Views
27
CrossRef citations to date
0
Altmetric
Original Articles

Oscillatory properties of first order linear functional differential equations

&
Pages 165-187 | Received 14 Mar 1985, Published online: 20 Jan 2011

References

  • Busenberg , S. and Cooke , K. L. 1982 . Nonlinear Phenomena in Mathematical Sciences , Edited by: Lakshmikan-tham , V. 179 – 187 . New York : Academic Press .
  • Cooke , K. L. and Wiener , J. 1984 . Retarded differential equations with piecewise constant delays . J. Mathematical Anal. & Appl , 99 ( 1 ) : 265 – 297 .
  • Kitamura , Y. and Kusano , T. 1980 . Oscillation of first-order nonlinear differential equations with deviating argument . Proc. Amer. Math. Soc , 78 ( 1 ) : 64 – 68 .
  • Kusano , T. and Onose , H. 1974 . Oscillations of functional differential equations with retarded argument . J. Differential Equations , 15 ( 1 ) : 269 – 277 .
  • Ladas , G. 1979 . Sharp conditions for oscillations caused by delays . Applicable Anal , 9 ( 1 ) : 93 – 98 .
  • Ladas , G. , Lakshmikantham , V. and Papadakis , J. S. 1972 . Delay and Functional Differential Equations and Their Applications , 219 – 231 . New York : Academic Press .
  • Ladas , G. and Stavroulakis , I. P. 1982 . Oscillations caused by several retarded and advanced arguments . J. Differential , 44 : 134 – 152 .
  • Ladas , G. and Stavroulakis , I. P. 1982 . On delay differential inequalities of first order . Funkcial. Ekvac , 25 : 103 – 113 .
  • Ladde , G. S. 1977 . Oscillations caused by retarded perturbations of first order linear ordinary differential equations . Atti Accad. Naz. Lincei Rend. CI. Sci. Fis. Mat. Natur , 63 : 351 – 359 .
  • Onose , H. 1983 . Oscillatory properties of the first order differential inequalities with deviating argument . Funkcia1. Ekvac , 26 : 189 – 195 .
  • Shah , S. M. and Wiener , J. 1983 . Advanced differential equations with piecewise constant argument deviations . Internat. J. Math & Math. Sci , 4 : 671 – 703 .
  • Singh , B. 1979 . Necessary and sufficient condition for maintaining oscillations and nonoscillations in general functional equations and their asymptotic properties . SIAM J. Math. Anal , 10 ( 1 ) : 18 – 31 .

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:

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:

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.