This Lecture Notes volume (a sequel to volumes 1108, 1214 and 1J34) continues the presentation to English speaking readers of the Voronezh University Press series "Movoe v global*nam analize" (New Developments in Global Analysis). Here we publish the articles selected from two issues of the series entitled "Global Analysis and Nonlinear Equations" A988) and "Topological and Geometrical Methods of Analysis" A989). The articles are ordered chronologically. The date of publication in Russian is indicated in the Contents.