具有耗散和阻尼项的Kirchhoff型方程吸引子的存在性  

Existence of Attractors for a Kirchhoff Type Equation with Damping and Restoring Terms

作　　者：王海英[1] 李桂莲[1] 

机构地区：[1]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2015年第3期357-360,共4页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目:非线性肿瘤免疫系统的随机动力学研究(11172194)

摘　　要：对具有耗散和阻尼项的Kirchhoff型方程,在满足一定的初边值的条件下,首先运用Gronwall引理,并结合Sobolev嵌入定理,证明出该方程有界吸收集的存在性;其次通过验证半群满足紧性,证明出该方程吸引子在广义空间中的存在性。Kirchhoff type equation with damping and restoring terms was studied when it sat- isfies certain boundary and initial conditions. Firstly, Gronwall lemma and Sobolev Embedding Theorem, were combined to establish the existence of a bounded absorbing set. Secondly, the ex- istence of attractors in general space was proved by verifying that semi-group satisfies compaction.

关 键 词：Kirchhoff型方程 GRONWALL引理 条件(C) 吸引子 

分 类 号：O175.2[理学—数学]