| 时标上具有正负项的非线性中立型动力方程非振动解的存在性 |
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| 引用本文： | 邸聪娜,李民良,赵彦,牛秀艳. 时标上具有正负项的非线性中立型动力方程非振动解的存在性[J]. 河北北方学院学报(自然科学版), 2010, 26(3): 7-9 |
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| 作者姓名： | 邸聪娜 李民良 赵彦 牛秀艳 |
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| 作者单位： | 河北科技师范学院数信学院,河北,秦皇岛,066004;上海海洋大学信息学院,上海,201306;河北师范大学汇华学院,河北,石家庄,050091 |
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| 摘 要： | 基于对微分方程非振动解的存在性的研究,考虑时标上的具有正负项的二阶非线性动力方程非振动解的存在性,主要通过时标上的导数积分运算,链式法则,含参量积分求导及中值定理,构造适当的映射,用Banach压缩映射原理得到它们非振动解存在的充分条件,进一步完善动力方程的振动性理论.
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| 关 键 词： | 时标 非线性动力方程 中立型项 正负项 非振动解 |
Existence of Non-oscillatory Solutions of Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Times Scales |
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| DI Cong-na,LI Min-liang,ZHAO Yan,NIU Xiu-yan. Existence of Non-oscillatory Solutions of Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Times Scales[J]. JournalofHebeiNorthUniversity(NaturalScienceEdition), 2010, 26(3): 7-9 |
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| Authors: | DI Cong-na LI Min-liang ZHAO Yan NIU Xiu-yan |
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| Affiliation: | DI Cong-na1,LI Min-liang2,ZHAO Yan3,NIU Xiu-yan1(1.Department of Mathematics and Information,Hebei Normal University of Science & Technology,Qinghuangdao 066004,Hebei,China,2.College of Information,Shanghai Ocean Univercisity,Shanghai 201306,3.College of Huihua,Hebei Normal University,Shijiazhuang 050091,China) |
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| Abstract: | Based on the existence of non-oscillation solutions of differential equations,the existence of non-oscillatory solutions of the second order nonlinear dynamic equation with positive and negative terms is considered.By derivative and integral operation,Chain Rule,Intermediate Value Theorem on time scales,defining mappings and Banach's fixed theorem,the sufficient condition of the existence of non-oscillatory solutions of the above equations is obtained.The vibration theory of the dynamic equation is further ... |
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| Keywords: | time scales nonlinear dynamic equations neutral term positive and negative terms nonoscillatory solution |
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