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

• Autorzy: Wei G. , Shen J.
• 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.

Słowa kluczowe

EN

asymptotic behavior; Liapunov functional; delay differential equation; impulse; coefficients

PL

równanie różniczkowe; funkcjonał Liapunov'a

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 109--119
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Wei G.

• Department of Mathematics, College of Huaihua Huaihua, Hunan 418008, China

autor

Shen J.

• 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.