Abstract
In this work, we investigate one class of Volterra type integral equation, in model and non model case, when kernels have first order singularity and logarithmic singularity. In depend of the signs parameters solution to this integral equation can contain two arbitrary constants, one constant and may be have unique solution. In the case, when general solution of integral equation contains arbitrary constant, we stand and investigate different boundary value problems when conditions is given in singular point. For considered integral equation, the solution found can represented in generalized power series.
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