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Oscillation Criteria for the First-Order Linear Difference Equations with Several Delay Arguments

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We consider a difference equation with delayed arguments

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References

  1. G. Ladas and I. P. Stavroulakis, “Oscillations caused by several retarded and advanced arguments,” J. Different. Equat., 44, No. 1, 134–152 (1982).

    Article  MATH  MathSciNet  Google Scholar 

  2. R. G. Koplatadze and T. A. Chanturiya, “Oscillating and monotone solutions of the first-order differential equations with deviating argument,” Differents. Uravn. 18, No. 8, 1463–1465 (1982).

    MATH  MathSciNet  Google Scholar 

  3. F. Nobuyoshi and K. Takasi, “Oscillation theory of first order functional-differential equations with deviating arguments,” Ann. Mat. Pura Appl., 136, No. 4, 95–117 (1984).

    MATH  MathSciNet  Google Scholar 

  4. A. Elbert and I. P. Stavroulakis, “Oscillation and nonoscillation criteria for delay differential equations,” Proc. Amer. Math. Soc., 123, No. 5, 1503–1510 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  5. Ladde G. S., V. Lakshmikantham, and B. G. Zhang, “Oscillation theory of differential equations with deviating arguments,” in: Monographs and Textbooks in Pure and Appl. Math., Marcel Dekker, Inc. New York (1987), 110.

  6. R. Koplatadze andG. Kvinikadze, “On the oscillation of solutions of first-order delay differential inequalities and equations,” Georg. Math. J., 1, No. 6, 675–685 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  7. L. Berezansky and E. Braverman, “On some constants for oscillation and stability of delay equations,” Proc. Amer. Math. Soc., 139, No. 11, 4017–4026 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  8. E. Braverman and B. Karpuz, “On oscillation of differential and difference equations with nonmonotone delays,” Appl. Math. Comput., 218, No. 7, 3880–3887 (2011).

    Article  MATH  MathSciNet  Google Scholar 

  9. G. Ladas, Ch. G. Philos, and Y. G. Sficas, “Sharp conditions for the oscillation of delay difference equations,” J. Appl. Math. Simul., 2, No. 2, 101–111 (1989).

    Article  MATH  MathSciNet  Google Scholar 

  10. I. P. Stavroulakis, “Oscillations of delay difference equations,” Comput. Math. Appl., 29, No. 7, 83–88 (1995).

    Article  MATH  MathSciNet  Google Scholar 

  11. G. E. Chatzarakis, R. Koplatadze, and I. P. Stavroulakis, “Oscillation criteria of first order linear difference equations with delay argument,” Nonlin. Anal., 68, No. 4, 994–1005 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  12. G. E. Chatzarakis, R. Koplatadze, and I. P. Stavroulakis, “Optimal oscillation criteria for first order difference equations with delay argument,” Pacif. J. Math., 235, No. 1, 15–33 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  13. R. Koplatadze, G. Kvinikadze, and I. P. Stavroulakis, “Oscillation of second-order linear difference equations with deviating arguments,” Adv. Math. Sci. Appl., 12, No. 1, P. 217–226 (2002).

    MATH  MathSciNet  Google Scholar 

  14. R. Koplatadze, “On oscillatory properties of solutions of functional-differential equations,” in: Mem. Different. Equat. Math. Phys., 3 (1994).

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Authors and Affiliations

  1. Javakhishvili Tbilisi State Univ., University st. 2, Tbilisi, 0186, Georgia

    R. Koplatadze

  2. Academia Militar, Departamento de Ciˆencias Exactas e Naturais Av. Conde Castro Guimarâes, 2720-113, Amadora, Portugal

    S. Pinelas

Authors
  1. R. Koplatadze
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  2. S. Pinelas
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Correspondence to R. Koplatadze.

Additional information

Published in Neliniini Kolyvannya, Vol. 17, No. 2, pp. 248–267, April–June, 2014.

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Koplatadze, R., Pinelas, S. Oscillation Criteria for the First-Order Linear Difference Equations with Several Delay Arguments. J Math Sci 208, 571–592 (2015). https://doi.org/10.1007/s10958-015-2468-4

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  • DOI: https://doi.org/10.1007/s10958-015-2468-4

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