As for higher singularity integral equation:its solvability conditions have been investigated in reference [1]. In reference [2], the direct solutionmethod has been discussed. In this paper, we will discuss a kind of ...As for higher singularity integral equation:its solvability conditions have been investigated in reference [1]. In reference [2], the direct solutionmethod has been discussed. In this paper, we will discuss a kind of method of directly finding solution.As n=2, the equation (1) equivalent to the following;here L is a simple closed curve; D<sup>+</sup>, D<sup>-</sup>, are the inner-field and outer-field respectively, which are sur-rounded by curve L, we need (t)∈ H<sub>1</sub> (L).Assume that N<sub>x</sub>(z,ζ) =(k<sub>v</sub>(z,ζ)-k<sub>v</sub>(z,ζ))/a<sub>2</sub>(z)+b<sub>2</sub>(z) is meromorphic on × ,v = 1,2,3. Furthermore展开更多
文摘As for higher singularity integral equation:its solvability conditions have been investigated in reference [1]. In reference [2], the direct solutionmethod has been discussed. In this paper, we will discuss a kind of method of directly finding solution.As n=2, the equation (1) equivalent to the following;here L is a simple closed curve; D<sup>+</sup>, D<sup>-</sup>, are the inner-field and outer-field respectively, which are sur-rounded by curve L, we need (t)∈ H<sub>1</sub> (L).Assume that N<sub>x</sub>(z,ζ) =(k<sub>v</sub>(z,ζ)-k<sub>v</sub>(z,ζ))/a<sub>2</sub>(z)+b<sub>2</sub>(z) is meromorphic on × ,v = 1,2,3. Furthermore