| 一类非线性双曲型方程解的不存在性 |
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| 引用本文： | 王艳萍.一类非线性双曲型方程解的不存在性[J].数学研究及应用,2011,31(2):377-380. |
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| 作者姓名： | 王艳萍 |
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| 作者单位： | 郑州航空工业管理学院数理系, 河南 郑州 450015 |
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| 基金项目： | 国家自然科学基金(Grant No.10671182),河南省高等学校青年骨干教师资助计划项目(Grant No.2006110016). |
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| 摘 要： | In this paper,we prove the existence and uniqueness of the local generalized solution of the Cauchy problem for a class of nonlinear hyperbolic equation of higher order are proved.Moreover,we give the sufficient conditions for blow-up of the solution of the problem in finite time will be given.
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| 关 键 词： | nonlinear hyperbolic equation Cauchy problem local solution nonexistence of solution |
| 收稿时间： | 2009/2/19 0:00:00 |
| 修稿时间： | 7/3/2009 12:00:00 AM |
Nonexistence of the Solution for a Class of Nonlinear Hyperbolic Equation |
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| Yan Ping WANG.Nonexistence of the Solution for a Class of Nonlinear Hyperbolic Equation[J].Journal of Mathematical Research with Applications,2011,31(2):377-380. |
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| Authors: | Yan Ping WANG |
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| Institution: | Department of Physics and Mathematics, Zhengzhou Institute of Aeronautical Industry Management, Henan 450015, P. R. China |
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| Abstract: | In this paper, we prove the existence and uniqueness of the local generalized solution of the Cauchy problem for a class of nonlinear hyperbolic equation of higher order are proved. Moreover, we give the sufficient conditions for blow-up of the solution of the problem in finite time will be given. |
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| Keywords: | nonlinear hyperbolic equation Cauchy problem local solution nonexistence of solution |
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