Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued wλ0-pseudomonotone maps

Solutions of Cauchy and periodic problems for evolution inclusions with multi-valued wλ0-pseudomonotone maps
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DOI:
10.1016/j.jde.2010.05.008
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发表时间:
2010-09
影响因子:
2.4
通讯作者:
P. O. Kas’yanov;V. Mel’nik;S. Toscano
P. O. Kas’yanov;V. Mel’nik;S. Toscano
中科院分区:
数学2区
文献类型:
--
作者:
P. O. Kas’yanov;V. Mel’nik;S. Toscano

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我们考虑具有[公式:见正文] -伪单调多值映射的微分算子包含。利用Faedo-Galerkin(FG)方法解决了Cauchy问题和周期问题解的研究问题。重要的先验估计。对预解算子进行了一些拓扑描述。
We consider differential-operator inclusions with [Formula: see text] -pseudomonotone multi-valued maps. The problem of investigation of solutions of Cauchy and periodic problems is solved by Faedo–Galerkin (FG) method. Important a priori estimates are obtained. Some topological descriptions of the resolvent operators are made.