| 一类非线性时滞抛物方程解振动的充要条件 |
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| 引用本文： | 冯菊,李树勇.一类非线性时滞抛物方程解振动的充要条件[J].西华师范大学学报(哲学社会科学版),2007,28(2):158-160. |
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| 作者姓名： | 冯菊 李树勇 |
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| 作者单位： | 四川师范大学数学与软件科学学院,四川成都610068 |
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| 基金项目： | 国家自然科学基金资助项目（10671133）;四川省学术和技术带头人培养基金资助项目（1200311） |
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| 摘 要： | 研究了一类非线性时滞抛物方程在两类齐次边界条件下解的振动性质，获得了判别其所有解振动的充要条件，并通过实例对主要结果进行阐明．
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| 关 键 词： | 非线性 时滞 抛物方程 振动 充要条件 |
| 文章编号： | 1673-5072（2007）02-0158-03 |
| 修稿时间： | 2007-03-10 |
Necessary and Sufficient Conditions for Oscillation of a Class of Nonlinear Parabolic Equations with Several Delays |
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| FENG Ju,LI Shu-yong.Necessary and Sufficient Conditions for Oscillation of a Class of Nonlinear Parabolic Equations with Several Delays[J].Journal of China West Normal University:Natural Science Edition,2007,28(2):158-160. |
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| Authors: | FENG Ju LI Shu-yong |
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| Institution: | Department of Marhematics and Software Science, Sichuan Normal University, Chengdu 610068, China |
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| Abstract: | In this paper the oscillation property of a class of nonlinear parabolic equations with several delays is discussed. A necessary and sufficient condition for oscillation of their solutions is obtained. The main results are ex plained by some examples. |
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| Keywords: | nonlinear delay parabolic equations oscillation necessary and sufficient condition |
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