俞元洪, 周正新. 中立型时滞双曲微分方程解的振动性[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2001, (2).DOI：
中立型时滞双曲微分方程解的振动性
摘要
研究中立型时滞微分方程 2 t2 [u( x
t) +p( t) u( x
t-τ) ]=a( t)△ u( x
t) - q( t) f ( u( x
σ( t) ) )
( 1) ( x
t)∈Ω× R+≡ G.其中 R+=[0
+∞ )
Ω是具有逐段光滑边界的有界区域 .建立了方程 ) 1 )的一切解均振动的新的充分条件
推广了文 [1 ]的结果
Abstract
In this paper
we study the partial differential equations with deviating arguments of neutral type of the form\+2t\+2[u(x
t)+p(t)u(x
t-τ)]=a(t)△u(x
t)-q(t)f(u(x
σ(t)))
(1)\$\$\$ (x
t)∈Ω×R\-+≡G
\$ where \%Ω\% is a bounded domain with a piecewise smooth boundary
and \%R\-+=[0
+∞).\% New sufficient conditions for oscillations of all solutions of equation (1) are obtained
which generalized the conclusions of paper [1].
关键词
Keywords
references
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