Publication Cover
Applicable Analysis
An International Journal
Volume 35, 1990 - Issue 1-4
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Original Articles

Invariant cones of positive initial functions for delay differential equations

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Pages 21-41 | Published online: 02 May 2007

References

  • Arino , O. , Gyori , I. and Jawhari , A. 1984 . Oscillation criteria in delay equations . J. Diff. Eqs , 53 : 115 – 123 .
  • Bellman , R. and Cooke , K.L. 1963 . Differential-difference Equations , New York : Academic Press .
  • Ferreira , J. and Gyori , I. 1987 . Oscillatory behavior in linear retarded functional differential equations . J. Math. Anal. Appl , 128 : 332 – 346 .
  • Gyori , I. Global attractivity in delay differential equations using a mixed monotone technique
  • Gyori , I. Interaction between oscillations and global asymptotic stability in delay differential equations
  • Hale , J.K. 1977 . Theory of Functional Differential Equations , Berlin : Springer - Verlag .
  • Hirsch , M.W. 1984 . The dynamical systems approach to differential equations . Bull. AMS , 11 : 1 – 64 .
  • Hunt , B.R. and Yorke , J.A. 1984 . When all soulution of x' = ∑ qi(t) x (t-Ti(t)) oscillate . J.Diff.Eqs , 53 : 139 – 145 .
  • Ladas , G. and Stavroulakis , I.P. 1982 . Oscillations caused by several retarded and advanced arguments . J. Diff. Eqs , 44 : 134 – 152 .
  • Myskis , A.D. 1972 . Linear Differential Equations with Retarded Argumen (in Russian) , Nauka : Moscow .
  • Seifert , G. 1976 . Positively invariant closed sets for systems of delay differential equations . J. Diff. Eqs , 22 : 292 – 304 .
  • Smith , H. 1987 . Monotone semiflows generated by functional differential equations . J. Diff. Eqs , 66 : 420 – 442 .
  • Smith , H. 1986 . Monotone Semiflows, preprint, Lefschetz Center for Dynamical Systems . Providence RI , 02912 : 86 – 19 .

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