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In this work, we investigate one class of Volterra typeintegral equation, in model case, when kernels have first order fixedsingularity and logarithmic singularity. In detail study the case, when n = 3. In depend of the signs parameters solution to this integralequation can contain three arbitrary constants, two arbitrary constants, oneconstant and may have unique solution. In the case when general solution of integral equationcontains arbitrary constants, we stand and investigatedifferent boundary value problems, when conditions are given in singular point.Besides for considered integral equation, the solution found cane representedin generalized power series. Some results obtained in the general model case.

KEYWORDS

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

Cite this paper

N. Rajabov -To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point,- Applied Mathematics, Vol. 4 No. 9, 2013, pp. 1301-1312. doi: 10.4236-am.2013.49176.





Author: Nusrat Rajabov

Source: http://www.scirp.org/



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