EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE

Pingrun Li

doi:10.11948/20200192

2020 Volume 10 Issue 6

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Pingrun Li. EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2756-2766. doi: 10.11948/20200192

Citation:

Pingrun Li. EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2756-2766. doi: 10.11948/20200192

EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE

Pingrun Li^1, ,

1.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China

Corresponding author: Email address:lipingrun@163.com(P. Li)

Abstract

Abstract

This paper is devoted to the study of dual singular integral equations with convolution kernels in the case of non-normal type. Via using the Fourier transforms, we transform such equations into Riemann boundary value problems. To solve the equation, we establish the regularity theory of solvability. The general solutions and the solvable conditions of the equation are obtained. Especially, we investigate the asymptotic property of solutions at nodes. This paper will have a significant meaning for the study of improving and developing complex analysis, integral equations and Riemann boundary value problems.
- Singular integral equations /
- Riemann boundary value problems /
- convolution kernel /
- regularity theory /
- dual equations
MSC: 45E10, 45E05, 30E25

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References

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