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Asymptotic behavior of solutions of impulsive differential equations with positive and negative coefficients

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Języki publikacji
EN
Abstrakty
EN
This paper is concerned with the impulsive delay differential equations with positive and negative coefficients Sufficient conditions are obtained for every solution of the above equation tends to a constant as t —> &infin. KEY WORDS: asymptotic behavior, Liapunov functional, delay differential equation, impulse, coefficients.
Rocznik
Tom
Strony
109--119
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
  • Department of Mathematics, College of Huaihua Huaihua, Hunan 418008, China
autor
  • Department of Mathematics, College of Huaihua Huaihua, Hunan 418008, China
  • Department of Mathematics, Hunan Normal University Changsha, Hunan 410081, China
Bibliografia
  • [1] Bainov D.D., Dimitrova M.B., Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients, Rocky Mountain J. Math., 27(1997), 1027-1040.
  • [2] Bainov D.D,, Simeonov P.S., Systems with Impulse Effect: Stability Theory and Applications, Ellis Horwood Limited, New York, 1989.
  • [3] Chen Y.S., Feng W.Z., Oscillations of second order nonlinear ODE with impulses, J. Math. Anal. Appl., 210(1997), 150-169.
  • [4] Graef J.R., Shen J.H., Stavroulakis I.P., Oscillation of impulsive neutral delay differential equations, J. Math. Anal. Appl., 268(2002), 310-333.
  • [5] Lakshimikantham V., Bainov D.D., Simeonov P.S., Theory of Impulsive Differential Equations, World Scientific, Singapore, 1989.
  • [6] Liu X.Z., Shen J.H., Asymptotic behavior of solutions of impulsive neutral differential equations, Appl. Math. Letter, 12(1999), 51-58.
  • [7] Luo Z.G., Shen J.H., Stability and boundedness for impulsive differential equations with infinite delays, Nonlinear Anal., 46(2001), 475-493.
  • [8] Shen J.H., Global existence and uniqueness, oscillation and nonoscillation of impulsive delay differential equations. Acta Math. Sinica, 40(1997), 53-59.
  • [9] Yu J.S., Zhang B.G., Stability theorem for delay differential equations with impulses, J. Math. Anal. Appl, 199(1996), 162-175.
  • [10] Zhao A.M., Yan J.R., Asymptotic behavior of solutions of impulsive delay differential equations, J. Math. Anal. Appl., 201(1996), 943-954.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0059-0049
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