Asymptotic behavior of solutions of second-order nonlinear impulsive differential equations |
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| Authors: | Jianjun Jiao Lansun Chen |
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| Institution: | a School of Mathematics and Statistics, Guizhou College of Finance and Economics, Guiyang 550004, People's Republic of China
b Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, People's Republic of China |
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| Abstract: | In this work, the asymptotic behavior of all solutions of second-order nonlinear ordinary differential equations with impulses is investigated. By impulsive differential inequality and Riccati transformation, sufficient conditions of asymptotic behavior of all solutions of second-order nonlinear ordinary differential equations with impulses are obtained. An example is also inserted to illustrate the impulsive effect. |
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| Keywords: | Asymptotic Second-order Impulsive differential equation Nonlinear |
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