| dc.contributor.author | Yanyan Cui | |
| dc.contributor.author | Chaojun Wang | |
| dc.contributor.other | College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466001, China | |
| dc.contributor.other | College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, Henan 466001, China | |
| dc.date.accessioned | 2025-08-27T02:32:33Z | |
| dc.date.accessioned | 2025-10-08T08:22:30Z | |
| dc.date.available | 2025-10-08T08:22:30Z | |
| dc.date.issued | 01-07-2025 | |
| dc.identifier.uri | https://www.aimspress.com/article/doi/10.3934/math.2025767 | |
| dc.identifier.uri | http://digilib.fisipol.ugm.ac.id/repo/handle/15717717/35643 | |
| dc.description.abstract | In this paper, several boundary value problems for second order complex partial differential systems of bi-analytic functions were investigated on the bicylinder. Homogeneous and nonhomogeneous Dirichlet problems for $ (\lambda, 1) $ bi-analytic functions were first discussed on the bicylinder. Applying the Cauchy-Pompeiu formula and the properties of the Poisson kernel, the expressions of the solutions to the Dirichlet problems were obtained. Thereafter, the Riemann problems and the inverse problems for $ (\lambda, 1) $ bi-analytic functions were explored on the generalized bicylinder in $ \mathbb{C}^2 $. Applying the Plemelj formula, the solutions to the corresponding problems were obtained. | |
| dc.language.iso | EN | |
| dc.publisher | AIMS Press | |
| dc.subject.lcc | Mathematics | |
| dc.title | Several boundary value problems for bi-analytic complex partial differential systems of second order | |
| dc.type | Article | |
| dc.description.keywords | complex partial differential equations | |
| dc.description.keywords | dirichlet problems | |
| dc.description.keywords | riemann problems | |
| dc.description.keywords | bi-analytic functions | |
| dc.description.keywords | cauchy-pompeiu formula | |
| dc.description.pages | 17117-17143 | |
| dc.description.doi | 10.3934/math.2025767 | |
| dc.title.journal | AIMS Mathematics | |
| dc.identifier.e-issn | 2473-6988 | |
| dc.identifier.oai | 0b2581c702fc4f56a647a1b54c5800bb | |
| dc.journal.info | Volume 10, Issue 7 | |
