This monographis a self-contained exposition of the definition and properties of functionsof 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.



Jürgen Appell, University of Würzburg, Germany; Jozef Banas, Technical University of Rzeszow, Poland; Nelson José Merentes Díaz, Central University of Venezuela, Caracas,Venezuela.