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中文摘要：
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。
英文摘要：
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.
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