| 广义神经传播型非线性拟双曲方程(组)的初边值问题与周期边界问题的整体解 |
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| 引用本文： | 刘亚成,刘大成.广义神经传播型非线性拟双曲方程(组)的初边值问题与周期边界问题的整体解[J].哈尔滨工程大学学报,1987(2). |
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| 作者姓名： | 刘亚成 刘大成 |
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| 作者单位： | 哈尔滨船舶工程学数学教研室
(刘亚成)，哈尔滨船舶工程学攀技花钢铁公司(刘大成) |
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| 摘 要： | 本文研究广义神经传播型非线性拟双曲方程及相应的方程组的初边值问题与周期边界问题,在某些非线性项下方有界及一些非线性项与其各一阶偏导数满足一定的增长条件下,得到了整体强解的存在与唯一性;对解的光滑性,也作了详细的讨论.
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| 关 键 词： | 初值问题 边值问题 非线性 双曲型方程/广义神经传导 |
Global Solution of Initial-Boundary Value Problem and Periodic Boundary Problem for Nonlinear Pseudo-Hyperbolic Equations (Systems)of Generalized Nerve Gonduction Type |
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| Liu Yacheng, Liu Dacheng.Global Solution of Initial-Boundary Value Problem and Periodic Boundary Problem for Nonlinear Pseudo-Hyperbolic Equations (Systems)of Generalized Nerve Gonduction Type[J].Journal of Harbin Engineering University,1987(2). |
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| Authors: | Liu Yacheng Liu Dacheng |
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| Affiliation: | Teaching and Research Section of Math |
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| Abstract: | Initial-Boundary Value problem and periodic boundary problem for nonlinear pseudo-hyperbolic equations (systems) of generalized nerve conduction type are studied.Under the conditions that some nonlinear terms are bounded from below and some nonlinear terms and their partial derivatives satisfy some growth conditions, the existence and uniqueness of the global strong solution are presented.The smoothness of the solution is also discussed in detail. |
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| Keywords: | initial value problem boundary-value problem non-liner hyperbolic equation/generalized nerve conduction |
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