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To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point
Tajik National University, Dushanbe, Tajikistan
- 1 Tajik National University, Dushanbe, Tajikistan
Applied Mathematics·Volume 04 (2013)·Pages 1301–1312·Published 30 August 2013·DOI10.4236/am.2013.49176
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Abstract
In this work, we investigate one class of Volterra type integral equation, in model case, when kernels have first order fixed singularity and logarithmic singularity. In detail study the case, when n = 3. In depend of the signs parameters solution to this integral equation can contain three arbitrary constants, two arbitrary constants, one constant and may have unique solution. In the case when general solution of integral equation contains arbitrary constants, we stand and investigate different boundary value problems, when conditions are given in singular point. Besides for considered integral equation, the solution found cane represented in generalized power series. Some results obtained in the general model case.
KeywordsNeoclassical Volterra Type Integral EquationLeft Boundary Singular PointBoundary Value Problems
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