Eigenvalues of a Class of Eigenparameter Dependent Third-Order Differential Operators

被引：7

作者：

Bai, Yulin ^{[1
]}

Wang, Wanyi ^{[3
]}

Li, Kun ^{[2
]}

Zheng, Zhaowen ^{[2
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[3] Inner Mongolia Agr Univ, Sch Math Sci, Hohhot 010018, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2022年 / 29卷 / 03期

关键词：

Third-order differential operators; Eigenparameter dependent boundary conditions; Continuity of eigenvalues; Differentiability of eigenvalues; STURM-LIOUVILLE PROBLEMS; ADJOINT BOUNDARY-CONDITIONS;

D O I：

10.1007/s44198-022-00032-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with a class of third-order differential operators with eigenparameter dependent boundary conditions. The continuity of eigenvalues concerning a given parameter is proved. Moreover, the derivative formulas of eigenvalues concerning the parameters, in particular, the eigenparameter dependent boundary condition matrix, are given.

引用

页码：477 / 492

页数：16

共 50 条

[31] Distribution of Eigenvalues of a Third-Order Differential Operator with Strongly Regular Boundary Conditions
Imanbaev, Nurlan S.
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2018), 2018, 1997
[32] On a class of third-order dissipative differential operator with distributional potentials
Ao, Ji-Jun
Li, Fei-Fan
QUAESTIONES MATHEMATICAE, 2024,
[33] Asymptotic theory for a critical class of third-order differential equations
Al-Hammadi, Aziz S. A.
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 2147 - 2154
[34] STABILITY OF A CERTAIN CLASS OF THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATIONS
SHIRAKAWA, H
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1968, AC13 (02) : 202 - +
[35] Symmetries of a class of nonlinear third-order partial differential equations
Clarkson, PA
Mansfield, EL
Priestley, TJ
MATHEMATICAL AND COMPUTER MODELLING, 1997, 25 (8-9) : 195 - 212
[36] Approximating a Class of Linear Third-Order Ordinary Differential Problems
Defez, Emilio
Tung, Michael M.
Ibanez, J.
Sastre, Jorge
PROGRESS IN INDUSTRIAL MATHEMATICS AT ECMI 2018, 2019, 30 : 329 - 335
[37] Symmetries of a class of nonlinear third-order partial differential equations
Univ of Kent at Canterbury, Canterbury, United Kingdom
Math Comput Modell (Oxford), 8-9 (195-212):
[38] Commuting multidimensional third-order differential operators defining a KdV hierarchy
Bukhshtaber, VM
Shorina, SY
RUSSIAN MATHEMATICAL SURVEYS, 2003, 58 (03) : 610 - 612
[39] A full system of invariants for third-order linear partial differential operators
Shemyakova, Ekaterina
ARTIFICIAL INTELLIGENCE AND SYMBOLIC COMPUTATION, PROCEEDINGS, 2006, 4120 : 106 - 115
[40] Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators
Chandrashekar, R.
Ali, Rosihan M.
Subramanian, K. G.
Swaminathan, A.
ABSTRACT AND APPLIED ANALYSIS, 2014,

← 1 2 3 4 5 →