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Applicable Analysis
An International Journal
Volume 69, 1998 - Issue 1-2
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Original Articles

Some results on the behavior of the solutions of a linear delay difference equation with periodic coefficients

Pages 83-104 | Published online: 02 May 2007

References

  • Agarwal R. P. Difference Equations and Inequalities Marcel Dekker New York 1992
  • De Bruijn, , N.G. 1950 . On some linear functional equations . Publ. Math. Debrecen , 1 : 129 – 134 .
  • DRIVER , R. D. 1972 . “ Some harmless delays ” . In Delay and Functional Differential Equations and their Applications, 103 – 119 . New York, : Academic Press, .
  • Driver , R.D. , Ladas , G. and Vlahos , P.N. 1992 . Asymptotic behavior of a linear delay difference equation, . Proc. Amer. Math. Soc. , 115 : 105 – 112 .
  • Driver , R.D. , Sasser , D.W. and Slater , M.L. 1973 . The equation xt(t) = ax(t) + bx(t - 7) with "small"delay, . Amer. Math. Monthly , 80 : 990 – 995 .
  • Györi , I. 1990 . Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations, . Appl. Math. Comput. , 36 : 89 – 111 .
  • Huang , Q. and Chen , S. 1990 . Oscillation of neutral differential equations with periodic coefficients, . Proc. Amer. Math. Soc. , 110 : 997 – 1001 .
  • Kelley , W.G. 1991 . “ Difference Equations: ” . In An Introduction with Applications, , Edited by: Peterson , A.C. New York, : Academic Press, Inc. .
  • Kordonis I.-G. E. Niyianni N. TH. Philos CH. G. On the behavior of the solutions of scalar first order linear autonomous neutral delay differential equations to appear
  • Kordonis , I.—G. E. and Philos , CH.G. 1997 . Oscillation of neutral difference equations with periodic coefficients . Comput. Math. Appl. , 33 : 11 – 27 .
  • Kordonis , I.—G. E. , Philos , CH. G. and PURNARAS , I. K. 1997 . On the oscillation of some linear difference equations with periodic coefficients, . J. Comput. Appl. Math. , 84 : 219 – 241 .
  • Ladas , G. , Philos , CH.G. and Sficas , Y. G. 1991 . Oscillations in neutral equations with periodic coefficients, . Proc. Amer. Math. Soc. , 113 : 123 – 134 .
  • Lakshmikantham , V. 1988. . “ Theow of Diflerence Equations: ” . In Numerical Methods and Applications, Edited by: Trigiante , D. New York, : Academic Press Inc., .
  • Norris M. J. Unpublished notes on the delay differential equation x′(t) = bx(t−1) where −l/e≥b>0 October 1967
  • Philos , CH.G. 1991 . On the escillation of differential equations with periodic coefficients, . Proc. Amer. Math. Soc. , 111 : 433 – 440 .
  • Philos , CH.G. 1991 . Oscillations of some delay differential equations with periodic coefficients, . J. Math. Anal. Appl. , 162 : 452 – 475 .
  • Philos , CH.G. 1992 . Oscillations in difference equations with periodic coefficients, . Arch. Math. , 58 : 453 – 461 .
  • Philos CH. G. Asymptotic behaviour, nonoscillation and stability in periodic first order linear delay differential equations Nauka 1980 Proc. Roy. Soc. Edinburgh Sect. A, to appear
  • Philos , CH.G. and Purnaras , I.K. 1994 . Oscillations in a class of linear difference equations with periodic coefficients, . Appl. Anal. , 53 : 175 – 183 .
  • Zhang , S. 1984 . Asymptotic behaviour of solutions of periodic delay differential equations, . Proc. Roy. Soc. Edinburgh Sect. , A 98 : 167 – 181 .

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