Volterra Type Integral Equations

This monograph is devoted to the investigation of onedimensional Volterra type integral equations withfixed boundary and interior singularity andsuper-singularity on kernels, closely connectionwith up to now small study of the third kind integralequations. Chapter I-VI investigates Volterra type integralequation with left , right and interior fixedsingularity and super-singularity kernels. Found thecase, when general solution consideration equationcontains one or two constants, and the case , whenthey have unique solutions. In chapter VII, we investigate the symmetricalintegral equations. Developed methods in monographgive possibility to investigate many-dimensionalVolterra type integral equation with boundary andinterior domains. In particular, this theory appliesto finding other particular solutions of two-dimensionalComplex integral equation, connection withgeneralized analytic function with boundary singularor super-singular lines in kernels.

Autorentext

Born in 1938 in Tajikistan. Mathematician, Professor, Dr. of Physics and Mathematics, Moscow, 1978; Manager of the Chair, Mathematics Analysis and Function Theory, Tajik State National University; Academic Secretary in Academy ofScience. Included in book "500 Greatest Geniuses of the 21st Centure", USA, 2007. E-mail:nusrat38@mail.ru