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ASYMPTOTIC BEHAVIOR FOR NONOSCILLATORY SOLUTIONS OF REACTION-DIFFUSION DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS IN THE NEUTRAL TERM

ASYMPTOTIC BEHAVIOR FOR NONOSCILLATORY SOLUTIONS OF REACTION-DIFFUSION DIFFERENTIAL EQUATIONS WITH SEVERAL DELAYS IN THE NEUTRAL TERM
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摘要 In this paper, we first consider differential equations with several delays inthe neutral term of the formstudy various cases of coefficients in the neutral term and obtain the asymptoticbehavior for nonoscillatory solution of (1~*) under some hypotheses. Moreover,we consider reaction-diffusion differential equations with several delays in theneutral term of the formfor (t, x)∈ R^+ ×Ω. We also study various cases of coefficients in the neutralterm and obtain the asymptotic behavior for nonoscillatory solution of (2~*)under some hypotheses. In this paper, we first consider differential equations with several delays inthe neutral term of the formstudy various cases of coefficients in the neutral term and obtain the asymptoticbehavior for nonoscillatory solution of (1~*) under some hypotheses. Moreover,we consider reaction-diffusion differential equations with several delays in theneutral term of the formfor (t, x)∈ R^+ ×Ω. We also study various cases of coefficients in the neutralterm and obtain the asymptotic behavior for nonoscillatory solution of (2~*)under some hypotheses.
作者 徐美荣 时宝
出处 《Annals of Differential Equations》 2004年第2期180-193,共14页 微分方程年刊(英文版)
关键词 differential equations neutral type nonoscillatory solutions asymptotic behavior differential equations neutral type nonoscillatory solutions asymptotic behavior
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