Araştırma Makalesi

Neumann and Mix Boundary Value Problems on the Upper Half Plane

Cilt: 6 Sayı: 1 31 Mart 2022
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Neumann and Mix Boundary Value Problems on the Upper Half Plane

Abstract

We give explicit representation of Neumann boundary value problem for Bitsadze equation on the upper half plane. We will also give solution of the inhomogeneous polyanalytic equation arising from Neumann and (n-1) Dirichlet boundary conditions on the upper half plane H.

Keywords

Kaynakça

  1. [1] H. Begehr, Boundary value problems in Complex analysis, I.F.Bol. Asoc. Mat. Venezolana V, XII, No.1(2005), 65-85.
  2. [2] I.N. Vekua, Generalized analytic functions, Pergamon Press, Oxford, (1962).
  3. [3] E. Gaertner, Basic complex boundary value problems in the upper half plane, PhD thesis, FU Berlin, (2006). Available at http//www.diss.fuberlin.de/diss/receive/FUDISS thesis 000000002129.
  4. [4] H. Begehr, G.N. Hile, A hierarchy of integral operators. Rocky Mountain J.Math., 27 (1997), 669-706.
  5. [5] A. Chaudhary, A. Kumar, Boundary value problems in upper half plane, Complex Variables and Elliptic Equations, 54 (2009), 441-448.
  6. [6] A. Chaudhary, A. Kumar, Mixed Boundary value problems in the upper half plane, Journal of Applied Functional Analysis, 5(2010), 209-220.
  7. [7] A. Kumar, R. Prakash, Neumann and mixed boundary value problems. Journal of Applied Functional Analysis, 3(2008), 399-418.
  8. [8] H. Begehr, S. Burgumbayeva, B. Shupeyeva, Harmonic Green functions for a plane domain with two touching circles as boundary. Advanced Mathematical Models and Applications 3(2018), 18-29.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2022

Gönderilme Tarihi

11 Haziran 2021

Kabul Tarihi

28 Aralık 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 1

Kaynak Göster