广义神经传播型非线性拟双曲方程解的爆破和熄灭
Blow-Up and Die-out of Solutions of Nonlinear PseudoHyperbolic Equations of Generalized Nerve Conduction Type
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摘要: 本文考虑广义神经传播型非线性拟双曲方程具三类边界条件的初边值问题,利用特征函数法,得到了其解在有限时间内爆破和熄灭的条件。
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关键词:
- 广义神经传播型非线性拟双曲方程 /
- 初边值问题 /
- 特征函数法 /
- 爆破 /
- 熄灭
Abstract: This paper considers the initial boundary value problems with three types of the boundary conditions for nonlinear pseudo-hyperbolic equations of generalized nerve conduction type, using foe eigenfunction method, the conditions for which the solutions blow-up and die-out in the finile time are got. -
[1] 张健,广义神经传播型非线性拟双曲方程解的爆破,应用数学和力学,10(8)(1989)679-687 [2] 张健,广义神经传播型非线性拟双曲方程解的熄灭性,四川师范天学学报(自然科学版),11(4)(1988),6-10
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