Zadoyanchuk N. The second order differential-operator equations and inclusions with maps of W-pseudomonotone type

The thesis is devoted to the methods of solving of nonlinear boundary problems and theory of the second order differential-operator equations and inclusions in infinite-dimensional spaces with non-coercive multivalued maps of W-pseudomonotone type. The second order differential-operator equations and inclusions are considered. New results about solvability for differential-operator equations with non-coercive W-pseudomonotone maps are obtained. The solvability for differential-operator inclusions is proved by the Faedo-Galerkin method and singular perturbations method. The non-coercive theory for the second order differential-operator equations and inclusions with non-coercive maps of W-pseudomonotone type is developed. New statements about some classes of maps and their properties are obtained.