Volterra Type Integral Equations: with boundary and interior fixed singularity and super-singularity kernels and their application - Softcover

Inhaltsangabe

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.

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