In this paper, we will discuss a kind of the compound boundary problem for doubly-period-Haseman-Carleman boundary Problem Rm with doubly-period （simply called H-C Problem Rm） :To find a doubly-periodic function φ...In this paper, we will discuss a kind of the compound boundary problem for doubly-period-Haseman-Carleman boundary Problem Rm with doubly-period （simply called H-C Problem Rm） :To find a doubly-periodic function φ（z） analytic in S<sup>+</sup> and S<sup>-</sup> except z=0 （including the union of z= 0 with periods 2ω<sub>1</sub>, 2ω<sub>2</sub>） and φ（z） may have m order of singularity at z= 0, which satisfies the follow-ing boundary condition:where a（t） is sense-preserving homeomorphic mapping on L<sub>1</sub> and α′（t）≠0,α′（t）∈H（L<sub>1</sub>）, α(t+2n<sub>1</sub>ω<sub>1</sub>展开更多
I. In recent years, I have done some researches on H<sub>R. K</sub>（W） space, and solved one type of non-linear sin-gular integration equations with displacement:where the conditions for the existence an...I. In recent years, I have done some researches on H<sub>R. K</sub>（W） space, and solved one type of non-linear sin-gular integration equations with displacement:where the conditions for the existence and uniqueness of the solution can be found there is also a method in-volving successive approximation by which the solution can be estimated. The research on this type of equa-tion provides a theoritical foundation for the solution of the non-linear Riemann boundary value problem.Ha, R<sub>R. K</sub>（W） defined as follows;展开更多
文摘In this paper, we will discuss a kind of the compound boundary problem for doubly-period-Haseman-Carleman boundary Problem Rm with doubly-period （simply called H-C Problem Rm） :To find a doubly-periodic function φ（z） analytic in S<sup>+</sup> and S<sup>-</sup> except z=0 （including the union of z= 0 with periods 2ω<sub>1</sub>, 2ω<sub>2</sub>） and φ（z） may have m order of singularity at z= 0, which satisfies the follow-ing boundary condition:where a（t） is sense-preserving homeomorphic mapping on L<sub>1</sub> and α′（t）≠0,α′（t）∈H（L<sub>1</sub>）, α(t+2n<sub>1</sub>ω<sub>1</sub>
文摘I. In recent years, I have done some researches on H<sub>R. K</sub>（W） space, and solved one type of non-linear sin-gular integration equations with displacement:where the conditions for the existence and uniqueness of the solution can be found there is also a method in-volving successive approximation by which the solution can be estimated. The research on this type of equa-tion provides a theoritical foundation for the solution of the non-linear Riemann boundary value problem.Ha, R<sub>R. K</sub>（W） defined as follows;
