The boundaries of the solutions of the linear Volterra integral equations with convolution kernel

Özdemir, Ismet; Temizer, Ö.

doi:10.1090/S0025-5718-06-01834-5

The boundaries of the solutions of the linear Volterra integral equations with convolution kernel
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by Ismet Özdemir and Ö. Faruk Temizer PDF

Math. Comp. 75 (2006), 1175-1199 Request permission

Abstract:

Some boundaries about the solution of the linear Volterra integral equations of the second type with unit source term and positive monotonically increasing convolution kernel were obtained in Ling, 1978 and 1982. A method enabling the expansion of the boundary of the solution function of an equation in this type was developed in I. Özdemir and Ö. F. Temizer, 2002. In this paper, by using the method in Özdemir and Temizer, it is shown that the boundary of the solution function of an equation in the same form can also be expanded under different conditions than those that they used.

References

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