Matrix Boundary Value Problem on Hyperbola  

作　　者：Shaohua Fan Shaohua Fan(School of Science, Tianjin University of Technology and Education, Tianjin, China)

机构地区：[1]School of Science, Tianjin University of Technology and Education, Tianjin, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第4期884-890,共7页应用数学与应用物理（英文）

摘　　要：We study a special class of lower trigonometric matrix value boundary value problems on hyperbolas. Firstly, the pseudo-orthogonal polynomial on hyperbola is given in bilinear form and it is shown that it is the only one. Secondly, a special boundary value problem of lower triangular matrix is presented and transformed into four related boundary value problems. Finally, Liouville theorem and Painlevé theorem and pseudo-orthogonal polynomials are used to give solutions.We study a special class of lower trigonometric matrix value boundary value problems on hyperbolas. Firstly, the pseudo-orthogonal polynomial on hyperbola is given in bilinear form and it is shown that it is the only one. Secondly, a special boundary value problem of lower triangular matrix is presented and transformed into four related boundary value problems. Finally, Liouville theorem and Painlevé theorem and pseudo-orthogonal polynomials are used to give solutions.

关 键 词：HYPERBOLA Matrix Boundary Value Problem Orthogonal Polynomial 

分 类 号：O17[理学—数学]