Riemann-Hilbert Boundary Value Problem of Non-regular Equations
Yang Xiao · Dalian Minzu Xueyuan xuebao · 2008
The solvation of Riemann-Hilbert boundary value of non-regular equations is discussed in generalized situation.By introducing a transform which has the same regular Riemann-Hilbert boundary value problems,the problems are separated into a Riemann boundary problm and Hilbert boundary problem which are solved individually.Then,some special diagonal matrices are introduced for helping to transfer those equations of Riemann-Hilbert boundary value problem to regular form and obtain the generalized solvation.Some illustration of the expression of the generalized solution is simplified by Hermite interpolation polynomials is given,in which,the form of solution can be reduced to a rather simper form.