Syllabus
Resuming basics from functional analysis.
Existence theorem.
Theory of monotone operators, pseudomonotone operators.
Generalisations of existence theorem.
Theory of potential operators.
Abstract numerical methods for solving nonlinear operator equations.
Annotation
Basic techniques of existence proofs of nonlinear operator solutions in Banach and Hilbert spaces.
Teory of monotone, pseudomonotone and potential operators.
Abstract numerical methods for solving nonlinear operator equations.