| 一类半线性含可变时滞脉冲抛物型方程解振动的充要条件 |
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| 引用本文： | 冯菊,李树勇.一类半线性含可变时滞脉冲抛物型方程解振动的充要条件[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 冯菊 李树勇 |
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| 作者单位： | 1. 西华师范大学,美术学院,四川,南充,637002
2. 四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金，四川省学术和技术带头人培养资金 |
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| 摘 要： | 研究一类半线性含可变时滞脉冲抛物型方程解的振动性质.首先利用分析技巧,给出一个脉冲时滞微分方程解振动的条件.然后,利用平均法,将该方程解振动性问题转化为相应脉冲时滞微分方程解振动性问题,进而,在齐次Neumann边界条件下获得判别该类方程解振动的充要条件.
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| 关 键 词： | 脉冲 时滞 抛物型方程 振动 充要条件 |
Necessary and Sufficient Conditions for Oscillation for a Class of Semi-linear Impulsive Parabolic Equations with Variable Delays |
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| FENG Ju,LI Shu-yong.Necessary and Sufficient Conditions for Oscillation for a Class of Semi-linear Impulsive Parabolic Equations with Variable Delays[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | FENG Ju LI Shu-yong |
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| Institution: | FENG Ju1,LI Shu-yong2(1.College of Fine Arts,Xihua Normal University,Nanchong 637002,Sichuan,2.College of Mathematics , Software Science,Sichuan Normal University,Chengdu 610068,Sichuan) |
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| Abstract: | In this paper,oscillation of solution for a class of semi-linear impulsive parabolic equations with variable delays is discussed.Some sufficient conditions for oscillation of impulsive differential equations are obtained by using analysis skill at first.Using averaging method,oscillation of the equations is transformed into the oscillation of the corresponding impulsive differential equations.Some necessary and sufficient conditions for oscillation of their solutions are obtained under the homogeneous Neuma... |
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| Keywords: | impulsive delay parabolic equations oscillation necessary and sufficient condition |
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