| OSCILLATION FOR NONLINEAR SECOND-ORDER DYNAMIC EQUATIONS ON TIME SCALES |
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| 基金项目： | Supported by National Natural Science Foundation of China (10671069) |
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| 摘 要： | Through the use of generalized Riccati transformation techniques, we establish some oscillation criteria for one type of nonlinear dynamic equation on time scales. Several examples, including a semilinear dynamic equation and a nonlinear Emden-Fowler dynamic equation, are also given to illustrate these criteria and to improve the results obtained in some references.
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OSCILLATION FOR NONLINEAR SECOND-ORDER DYNAMIC EQUATIONS ON TIME SCALES |
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| Authors: | Xu Yancong Zhu Deming |
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| Institution: | College of Science;Hangzhou Normal University;Hangzhou 310036;Dept. of Math.;East China Normal University;Shanghai 200062 |
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| Abstract: | Through the use of generalized Riccati transformation techniques, we establish some oscillation criteria for one type of nonlinear dynamic equation on time scales. Several examples, including a semilinear dynamic equation and a nonlinear Emden-Fowler dynamic equation, are also given to illustrate these criteria and to improve the results obtained in some references. |
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| Keywords: | oscillation dynamic equations time scales Riccati technique |
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