Recovering differential operators with nonlocal boundary conditions

被引：0
作者：
Vjacheslav Anatoljevich Yurko
Chuan-Fu Yang
机构：
[1] Saratov University,Department of Mathematics
[2] Nanjing University of Science and Technology,Department of Applied Mathematics, School of Science
来源：
Analysis and Mathematical Physics | 2016年 / 6卷
关键词：
Differential operators; Nonlocal boundary conditions; Inverse spectral problems; 34A55; 34L05; 47E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Inverse spectral problems for Sturm–Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg’s inverse problem for the classical Sturm–Liouville operator. Two uniqueness theorems of inverse problems from the Weyl-type function and two spectra are presented and proved, respectively.
引用
收藏
页码：315 / 326
页数：11
相关论文
共 26 条
  • [1] Bitsadze AV(1969)Some elementary generalizations of linear elliptic boundary value problems Dokl. Akad. Nauk SSSR 185 739-740
  • [2] Samarskii AA(2007)Inverse spectral problems for nonlocal Sturm–Liouville operators Inverse Problems 23 523-535
  • [3] Albeverio S(1952)The parabolic differential equations and the associated semigroups of transformations Ann. Math. 55 468-519
  • [4] Hryniv R(2001)Feller semigroups and degenerate elliptic operators with Wentzell boundary conditions Stud. Math. 145 17-53
  • [5] Nizhnik L(1994)On nonlinear parabolic equations with nonlocal boundary conditions J. Math. Anal. Appl. 185 161-174
  • [6] Feller W(1982)Extensions of a property of the heat equation to linear thermoelasticity and order theories Quart. Appl. Math. 40 319-330
  • [7] Taira K(2000)On some non-local problems of the theory of elasticity Bull. TICMI 4 43-46
  • [8] Favini A(1997)The solution of a certain boundary value problem of the theory of heat conduction with a nonclassical boundary condition Differ. Equ. 13 294-304
  • [9] Romanelli S(2006)The inverse problem of recovering the Volterra convolution operator from the incomplete spectrum of its rank-one perturbation Inverse Problems 22 2223-2236
  • [10] Yin YF(2007)On an inverse spectral problem for a convolution integro-differential operator Results Math. 50 173-181
123