可拉伸梁方程一致吸引子的存在性

The Existence of Uniform Attractors for Extensible Beam Equation

利用一致条件(C),研究了非自治可拉伸梁方程一致吸引子的相关性质,得到了当外力项h满足条件C*(而非平移紧)时,非自治可拉伸梁方程在弱拓扑空间H×V中一致吸引子的存在性.从而推广了以往的研究结果.

By using the uniform condition( C),this paper studies the related properties of the non-autonomous extensible beam equations and the existence of uniform attractors for the non-autonomous extensible beam equations is proved in a weak topology space E0= H × V,when forcing term h only satisfies condition( C*)( not translation compactness) and thus generalizes previous research results.