[PDF] Top 20 A Boundary Value Problem for Hermitian Monogenic Functions

... called monogenic functions, which may be regarded as a natural generalization to a higher-dimensional setting of the holomorphic functions of one complex variable see 6, ...taking value in ... See full document

... Riemann boundary value problem (BVP for short) theory in the complex plane has been systematically developed, see [] and ...of monogenic functions, see [–], ...for monogenic ... See full document

... Similarly right q-monogenicity is defined. Left and right q-monogenic functions are called two-sided q-monogenic. A q-monogenic function in is monogenic, and thus har- monic in . Note ... See full document

... the boundary value problem for ordinary simple differential equations of the third order with small parameter at the higher derivatives is ...perturbed boundary value problems under the ... See full document

... eigenvalue problem for an elliptic differential equation in a two-dimensional domain with Dirichlet boundary con- ...basis functions are calculated as solutions of the parametric eigenvalue ... See full document

... However, it has not attracted much attention to the research of damped boundary value problem (1.1) due to the difficulty of damped term and the derivative dependence in the nonlinearity. Several ... See full document

... the boundary value problems of analytic functions and formed a perfect theoretical system; see ...The boundary value problem of an- alytic functions on an infinite straight ... See full document

... fractional boundary value problem of order ∝, 3 <∝≤ 4 defined in terms of Caputo fractional ...Green's functions for the corresponding boundary value problem and use a ... See full document

... Furthermore, in the case where F(x,t) = λu, a complete set of eigenfunctions and corresponding eigenvalues are explicitly computed. In [7] on the other hand, where F(x,t) = λp(x,t)u, such explicit computations are not ... See full document

... Wave equation, radial symmetry, boundary value problem, eigenvalue problem, Hilbert space, weighted Sobolev space, Fredholm operator, Laplace transform, Bessel functions.. 1980 AMS SUBJE[r] ... See full document

... In this paper we shall present some methods for the continuous approximation of the solution of the two point real nonlinear boundary value problem.. by the use of spline functions of or[r] ... See full document

... Riemann boundary value problem for periodic sectionally holomorphic functions with periodic closed contour or quasi-closed contour as jump curves; (ii) the Hilbert bound- ary value ... See full document

... three-point boundary value problem u t atft, ut, u t 0, 0 < t < 1; u0 u 0 0; u 1 − αu η λ, where η ∈ 0, 1/2, α ∈ 1/2η, 1/η are constants, λ ∈ 0, ∞ is a parameter, and a, f are given ... See full document

... Riemann Boundary Value Pro- blems for Generalized Analytic Functions,” Journal of Ningxia University of Natural Resources and Life Sci- ences Education, ... See full document

... polyanalytic functions, which will be used to solve BVPs of doubly-periodic bi- analytic ...polyanalytic functions at the origin is ...bianalytic functions, the definition of growth order at the ... See full document

... the problem, such as generalized H¨older coefficients or special subspaces of this space and the desired boundary behavior condition for the ...Riemann boundary value problem was studied ... See full document

... Riemann-Hilbert boundary value problems (for short RHBVPs) with variable coefficients for axially symmetric monogenic functions defined in axial symmetric ...symmetric monogenic ... See full document

... As the series (3.5) is slowly converging it is not reliable to analyze the problem accurately with just few terms. It is essential to get higher approximations. As one pro- ceeds to higher approximations the ... See full document

... original boundary value problem with that of the transformed boundary value problem and show under which conditions the transformed boundary value problem ... See full document

... Abstract:- Wavelet-Galerkin technique has very important advantages over classical finite difference and finite element method. In this paper, we have made an attempt to develop a technique for Wavelet-Galerkin solution ... See full document