| 不稳定型二阶中立型方程正解的存在性与有界振动 |
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| 引用本文： | 瘐建设.不稳定型二阶中立型方程正解的存在性与有界振动[J].系统科学与数学,1996,16(1):092-096. |
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| 作者姓名： | 瘐建设 |
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| 作者单位： | 湖南大学应用数学系，青岛海洋大学应用数学系 |
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| 摘 要： | 本文研究一类不稳定型二阶中立型微分方程正解的存在性与有界振动．证明了在一定条件下不稳定型二阶中立型方程总存在无界正解，并给出了保证其方程的一切有界解都振动的充分条件，改进了文［１，２］中的有关条件．
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| 关 键 词： | 中立型方程，不稳定型，正解，振动性，有界解 |
THE EXISTENCE OF POSITIVE SOLUTIONS AND BOUNDED OSCILLATION FOR SECOND ORDER NEUTRAL EQUATIONS OF UNSTABLE TYPE |
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| YU JIAN-SHE,ZHANG BING-GEN.THE EXISTENCE OF POSITIVE SOLUTIONS AND BOUNDED OSCILLATION FOR SECOND ORDER NEUTRAL EQUATIONS OF UNSTABLE TYPE[J].Journal of Systems Science and Mathematical Sciences,1996,16(1):092-096. |
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| Authors: | YU JIAN-SHE ZHANG BING-GEN |
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| Institution: | (1)Department of Applied Mathematics,Hunan University,Changsha 410082;(2)Department of Applied Mathematics, Ocean University of Qingdao, 266003 |
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| Abstract: | In this paper,we study the existence of positive solutions and the bounded oscillation of a class of second order unstable type neutral differential equations.We prove that this equation always has an unbounded positive solution under some conditions,and give some new sufficient conditions for all bounded solutions of the equation to oscillate,which improve some related conditions in 1,2]. |
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| Keywords: | Neutral equation unstable type oscillation positive solution bounded solution |
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