This monographis a self-contained exposition of the definition and properties of functions of bounded variation and their various generalizations; the analytical properties of nonlinear composition operators in spaces of such functions; applications to Fourier analysis, nonlinear integral equations, and boundary value problems. The book is written for non-specialists. Every chapter closes with a list of exercises and open problems.
Jurgen Appell, University of Wurzburg, Germany; Jozef Banas, Technical University of Rzeszow, Poland; Nelson Jose Merentes Diaz, Central University of Venezuela, Caracas,Venezuela.
