To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point

Nusrat Rajabov

Tajik National University, Dushanbe, Tajikistan.

DOI: 10.4236/am.2013.49176                

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.

Keywords

Neoclassical Volterra Type Integral Equation; Left Boundary Singular Point; Boundary Value Problems

Conflicts of Interest

The authors declare no conflicts of interest.

References

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