Ukrainian Mathematical Bulletin

Volume 4, Issue 4, 2007 pp. 527-571.

On Solvability of Differential-operator Inclusions and Evolutionary Variational Inequalities Generated by Mappings of $w_{\lambda_0}$-pseudomonotone Type

Authors: Pavel O. Kasyanov, Valerii S. Mel'nik
Author institution: Taras Shevchenko Kiev National University, vul. Volodymyrs'ka, 64, 01033, Kiev,Ukraine, kasyanov@univ.kiev.ua

Summary: For a large class of differential-operator inclusions and evolutionary variational inequalities with $w_{\lambda_0}$-pseudomonotone mappings, including the ones of pseudomonotone type, we obtain a theorem about solvability. The theorem is proved by using the elliptic regularization method and the penalty method. Examples illustrating the obtained results are given.

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