@article{Kasyanov_Mel’nik_2008, title={Evolution inequalities with noncoercive <i>w </i><sub>λ <sub>0 </sub></sub>-pseudomonotone volterra-type mappings}, volume={60}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3264}, abstractNote={We consider a class of differential-operator inequalities with noncoercive <i>w </i><sub>λ <sub>0 </sub></sub&gt;-pseudomonotone operators. The problem of the existence of solutions of the Cauchy problem for these inequalities is investigated by using the Dubinsky method. A priori estimates for these solutions and their derivatives are obtained. We give a model example that illustrates the results and generalizations obtained.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Kasyanov, P. O. and Mel’nik, V. S.}, year={2008}, month={Nov.}, pages={1499 -} }