Volterra Type Integral Equations
with boundary and interior fixed singularity and super-singularity kernels and their application
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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. Deve...
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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