M: KRASAND, 2011. — 480 s. This book is devoted to the presentation of the main methods of nonlinear functional analysis, as well as their application to specific boundary and initial boundary problems for nonlinear partial differential equations. The book describes variational, topological methods, methods of compactness and monotony, as well as the method of upper and lower solutions. Finally, the main methods of proving the absence of non-trivial solutions and the destruction of solutions in a finite time are considered. The book is intended for specialists in the field of mathematical and theoretical physics, it will also be useful for students and postgraduates of relevant specialties ..