纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2012年
3期
401-411,426
,共12页
弱耗散抽象发展方程%记忆核%全局吸引子
弱耗散抽象髮展方程%記憶覈%全跼吸引子
약모산추상발전방정%기억핵%전국흡인자
weak dissipation abstract evolution equation%memory kernel,global attractor
采用定义泛函,忽略粘性阻尼项时,在特定空间中研究了弱耗散抽象发展方程,得到了该方程全局吸引子的存在性结论,丰富了该类方程全局吸引子存在性的证法.
採用定義汎函,忽略粘性阻尼項時,在特定空間中研究瞭弱耗散抽象髮展方程,得到瞭該方程全跼吸引子的存在性結論,豐富瞭該類方程全跼吸引子存在性的證法.
채용정의범함,홀략점성조니항시,재특정공간중연구료약모산추상발전방정,득도료해방정전국흡인자적존재성결론,봉부료해류방정전국흡인자존재성적증법.
In this paper, by the method of defining functional, when viscoelastic damped term was neglected, we investigated and achieved the existence of global attractors for weak dissipation abstract evolution equations in particular space, so that the method of the existence of global attractors for this type of equations was extended.