Some Eigenvalue Properties of Third-order Boundary Value Problems with Distributional Potentials  

作　　者：Hai-yan ZHANG Ji-jun AO 

机构地区：[1]College of Sciences,Inner Mongolia University of Technology,Hohhot 010051,China

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第1期179-199,共21页应用数学学报(英文版)

基　　金：supported by National Natural Science Foundation of China(No.12261066);the Natural Science Foundation of Inner Mongolia(No.2021MS01020 and No.2023LHMS01015).

摘　　要：Several eigenvalue properties of the third-order boundary value problems with distributional potentials are investigated.Firstly,we prove that the operators associated with the problems are self-adjoint and the corresponding eigenvalues are real.Next,the continuity and differential properties of the eigenvalues of the problems are given,especially we find the differential expressions for the boundary conditions,the coefficient functions and the endpoints.Finally,we show a brief application to a kind of transmission boundary value problems of the problems studied here.

关 键 词：third-order boundary value problems distributional potentials quasi-derivatives EIGENVALUES 

分 类 号：O175.8[理学—数学]