EN
Neumann and Mix Boundary Value Problems on the Upper Half Plane
Öz
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.
Anahtar Kelimeler
Kaynakça
- [1] H. Begehr, Boundary value problems in Complex analysis, I.F.Bol. Asoc. Mat. Venezolana V, XII, No.1(2005), 65-85.
- [2] I.N. Vekua, Generalized analytic functions, Pergamon Press, Oxford, (1962).
- [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] H. Begehr, G.N. Hile, A hierarchy of integral operators. Rocky Mountain J.Math., 27 (1997), 669-706.
- [5] A. Chaudhary, A. Kumar, Boundary value problems in upper half plane, Complex Variables and Elliptic Equations, 54 (2009), 441-448.
- [6] A. Chaudhary, A. Kumar, Mixed Boundary value problems in the upper half plane, Journal of Applied Functional Analysis, 5(2010), 209-220.
- [7] A. Kumar, R. Prakash, Neumann and mixed boundary value problems. Journal of Applied Functional Analysis, 3(2008), 399-418.
- [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
Yazarlar
Yayımlanma Tarihi
31 Mart 2022
Gönderilme Tarihi
11 Haziran 2021
Kabul Tarihi
28 Aralık 2021
Yayımlandığı Sayı
Yıl 2022 Cilt: 6 Sayı: 1
APA
Chaudhary, A. (2022). Neumann and Mix Boundary Value Problems on the Upper Half Plane. Advances in the Theory of Nonlinear Analysis and its Application, 6(1), 135-142. https://doi.org/10.31197/atnaa.950920
AMA
1.Chaudhary A. Neumann and Mix Boundary Value Problems on the Upper Half Plane. ATNAA. 2022;6(1):135-142. doi:10.31197/atnaa.950920
Chicago
Chaudhary, Arun. 2022. “Neumann and Mix Boundary Value Problems on the Upper Half Plane”. Advances in the Theory of Nonlinear Analysis and its Application 6 (1): 135-42. https://doi.org/10.31197/atnaa.950920.
EndNote
Chaudhary A (01 Mart 2022) Neumann and Mix Boundary Value Problems on the Upper Half Plane. Advances in the Theory of Nonlinear Analysis and its Application 6 1 135–142.
IEEE
[1]A. Chaudhary, “Neumann and Mix Boundary Value Problems on the Upper Half Plane”, ATNAA, c. 6, sy 1, ss. 135–142, Mar. 2022, doi: 10.31197/atnaa.950920.
ISNAD
Chaudhary, Arun. “Neumann and Mix Boundary Value Problems on the Upper Half Plane”. Advances in the Theory of Nonlinear Analysis and its Application 6/1 (01 Mart 2022): 135-142. https://doi.org/10.31197/atnaa.950920.
JAMA
1.Chaudhary A. Neumann and Mix Boundary Value Problems on the Upper Half Plane. ATNAA. 2022;6:135–142.
MLA
Chaudhary, Arun. “Neumann and Mix Boundary Value Problems on the Upper Half Plane”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 1, Mart 2022, ss. 135-42, doi:10.31197/atnaa.950920.
Vancouver
1.Arun Chaudhary. Neumann and Mix Boundary Value Problems on the Upper Half Plane. ATNAA. 01 Mart 2022;6(1):135-42. doi:10.31197/atnaa.950920