| 半线性拟双曲型积分微分方程的初边值问题和初值问题 |
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| 引用本文： | 王书彬.半线性拟双曲型积分微分方程的初边值问题和初值问题[J].应用数学学报,1995,18(4):567-578. |
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| 作者姓名： | 王书彬 |
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| 作者单位： | 郑州工学院数力系 |
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| 摘 要： | 本文讨论半线性拟双曲型积分微分方程的初边值和初值问题。用积分方程的理论和Ｇａｌｅｒｋｉｎ方法证明了问题的整体强解的存在性、唯一性和正则性。
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| 关 键 词： | 半线性 积分微分方程 初边值问题 初值问题 |
ON THE INITIAL BOUNDARY VALUE PROBLEM AND INITIAL VALUE PROBLEM FOR THE SEMILINEAR PSEUDO-HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATION |
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| WANG SHUBIN.ON THE INITIAL BOUNDARY VALUE PROBLEM AND INITIAL VALUE PROBLEM FOR THE SEMILINEAR PSEUDO-HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATION[J].Acta Mathematicae Applicatae Sinica,1995,18(4):567-578. |
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| Authors: | WANG SHUBIN |
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| Abstract: | The initial boundary value problem and initial value problem for the semilinear pseudo-hyperbolic integrodifferential equation are considered. The existence, uniqueness and regularities of the global strongly solution of the problems are proved by the theory of integral equations and the Galerkin method. |
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| Keywords: | Stmilinear integro-differential equation global strongly solution Galerkin method |
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