Journal of Lanzhou University of Technology ›› 2024, Vol. 50 ›› Issue (5): 161-164.

• Scientific • Previous Articles     Next Articles

Two classes of boundry value problems for higher-order complex partial differential equations

CUI Yan-yan, WANG Chao-jun   

  1. College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
  • Received:2023-03-09 Online:2024-10-28 Published:2024-10-31

Abstract: By the Gauss theorem and Cauchuy-pompeiu formula in C, the Dirichlet problem and Neumann problem for higher order complex partial differential equations on the unit disc are discussed, and the integral representations and the conditions of the solutions are obtained, which lead to the conclusion of the boundary value problem for poly-analytic functions.

Key words: holomorphic functions, boundary value problems, partial differential equations

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