The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t）...The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.展开更多
In this paper, solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term ...In this paper, solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes. As an application, certain singular integral equation is discussed.展开更多
The Riemann boundary value problem with square roots in class h0 when the jumping curve is an open arc in the complex plane is considered. It is solved by reducing it to a classical Riemann boundary value problem so t...The Riemann boundary value problem with square roots in class h0 when the jumping curve is an open arc in the complex plane is considered. It is solved by reducing it to a classical Riemann boundary value problem so that its solutions are obtained in closed form. In certain cases, some auxiliary function ω（z）is introduced. With different choices of ω（z）＇s, some interesting examples are illustrated.展开更多
We will discuss the non-normal Hasemann boundary value problem: we may find these results are coincided with those of normal Hasemann boundary value problem and non-normal Riemann boundary value problem.
In this paper, we have proved some special properties of singular integral operators which are transformed from the singular integral equation defined in the interval (?1, 1), i.e., the properties of singular intergra...In this paper, we have proved some special properties of singular integral operators which are transformed from the singular integral equation defined in the interval (?1, 1), i.e., the properties of singular intergral operators at the endpoints and in the inner of (?1, 1).展开更多
In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expressi...In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expression of the solutions for the inverse problems are obtained.展开更多
Present work is exploring the influence of land cover on channel morphology in 34 headwater catchments of the lateritic belt of West Bengal.Non-parametric tests(Mann-Whitney U and Kruskal-Wallis)and multivariate analy...Present work is exploring the influence of land cover on channel morphology in 34 headwater catchments of the lateritic belt of West Bengal.Non-parametric tests(Mann-Whitney U and Kruskal-Wallis)and multivariate analysis(Principal Component Analysis and Canonical Discriminant Function models)have successfully differentiated the performance of land cover on channel morphology adjustment among the three groups of headwater streams(forested,transitional,and agricultural)on the Kunur River Basin(KRB).Spatial Interpolation Techniques reveal that intense land-use change,particularly forest conversion to agricultural land,is significantly increasing channel widths(269%)and cross-section area(78%),whereas agricultural channels become shallower(40%)than would be predicted from forested streams.Catchments with the dominance of forest and agricultural land are classified as‘C′and‘B′types of streams respectively,as per Rosgen's Stream Classification Model.Finally,the work claimed that transitional stream group is the definitive area to exaggerate the river restoration plan to stabilize the anthropogenic deformation on channel morphology.展开更多
文摘The Hilbert boundary value problem Re{λ（t） p√ψ＋（t）} = c（t）, t∈L of normal type with Holder continuous coefficients is discussed, where L is the unit circle ｜t｜ = 1,p ≥2 is any definite integer,ψ^＋（t） is the boundary value of the unknown function ψ（z） holomorphic in ｜z｜ 〈 1 with single-valued continuous p√ψ＋（t） on L.
文摘In this paper, solutions of Riemann boundary value problems with nodes are extended to the case where they may have singularties of high order at the nodes. Moreover, further extension is discussed when the free term of the problem involved also possesses singularities at the nodes. As an application, certain singular integral equation is discussed.
基金Supported by the National Natural Science Foundation of China (10161009)
文摘The Riemann boundary value problem with square roots in class h0 when the jumping curve is an open arc in the complex plane is considered. It is solved by reducing it to a classical Riemann boundary value problem so that its solutions are obtained in closed form. In certain cases, some auxiliary function ω（z）is introduced. With different choices of ω（z）＇s, some interesting examples are illustrated.
基金the National Natural Science Foundation of ChinaRF DP of Higher Education and SF of Wuhan Uni-versity(2 0 1990 3 3 6)
文摘We will discuss the non-normal Hasemann boundary value problem: we may find these results are coincided with those of normal Hasemann boundary value problem and non-normal Riemann boundary value problem.
文摘In this paper, we have proved some special properties of singular integral operators which are transformed from the singular integral equation defined in the interval (?1, 1), i.e., the properties of singular intergral operators at the endpoints and in the inner of (?1, 1).
基金Supported by the Natural Science Foundation of Fujian Province(2020J01322)
文摘In this paper,a class of inverse boundary value problems for(λ,1)bi-analytic functions is given.Using the method of Riemann boundary value problem for analytic functions,the conditions of solvability and the expression of the solutions for the inverse problems are obtained.
基金University Grand Commission,New Delhi,India,for the financial support as Junior Research Fellowship[Award Letter No.:F.15-6(DEC.,2012)/2013(NET),UGC Ref.No.3224/(NET-DEC.2012)]to carry out the research work presented in this paper.
文摘Present work is exploring the influence of land cover on channel morphology in 34 headwater catchments of the lateritic belt of West Bengal.Non-parametric tests(Mann-Whitney U and Kruskal-Wallis)and multivariate analysis(Principal Component Analysis and Canonical Discriminant Function models)have successfully differentiated the performance of land cover on channel morphology adjustment among the three groups of headwater streams(forested,transitional,and agricultural)on the Kunur River Basin(KRB).Spatial Interpolation Techniques reveal that intense land-use change,particularly forest conversion to agricultural land,is significantly increasing channel widths(269%)and cross-section area(78%),whereas agricultural channels become shallower(40%)than would be predicted from forested streams.Catchments with the dominance of forest and agricultural land are classified as‘C′and‘B′types of streams respectively,as per Rosgen's Stream Classification Model.Finally,the work claimed that transitional stream group is the definitive area to exaggerate the river restoration plan to stabilize the anthropogenic deformation on channel morphology.
