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Oscillation criteria for difference equations with several oscillating coefficients

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This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

Abstract

This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.

참고문헌 (16)

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  10. V. Lakshmikantham, "Theory of Difference Equations: Numerical Meth-ods and Applications", Mathematics in Science and Engineering, 181 (1998), Academic Press
  11. X. Li, "Oscillation for advanced differential equations with oscil-lating coefficients", Int. J. Math. Math. Sci, 2003(33), pp.2109~2118 (2003)
  12. C. Qian, "Oscillation of difference equations with oscillating coef-ficients", Rad. Mat, 8(1), pp.55~65 (1992)
  13. X. H. Tang, "An oscillation criterion for linear difference equations with oscillating coefficients", J. Comput. Appl. Math, 132(2), pp.319~329 (2001)
  14. T. Xianhua, "Oscillation of first order delay differential equations with oscillating coef-ficients", Appl. Math. J. Chinese Univ. Ser. B, 15(3), pp.252~258 (2000)
  15. W. Yan, "Comparison and oscillation results for delay difference equations with oscillating coefficients", Internat. J. Math. Math. Sci, 19(1), pp.171~176 (1996)
  16. J. S. Yu, "Sufficient conditions for the oscillation of linear delay difference equations with oscillating coefficients", J. Math. Anal. Appl, 250(2), pp.735~742 (2000)

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