On the asymptotics of eigenfunctions of Sturm-Liouville operators with distribution potentials

被引：0

作者：

O. A. Shveikina

机构：

[1] Moscow State University,

来源：

Differential Equations | 2013年 / 49卷

关键词：

Asymptotic Formula; Distribution Potential; Neumann Boundary Condition; Liouville Operator; Singular Potential;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a Sturm-Liouville operator in the space L2[0, π] and derive asymptotic formulas for the eigenvalues and eigenfunctions of this operator for the case of Dirichlet-Neumann boundary conditions. The leading and second terms of the asymptotics are found in closed form.

引用

页码：955 / 962

页数：7

共 50 条

[1] On the asymptotics of eigenfunctions of Sturm-Liouville operators with distribution potentials
Shveikina, O. A.
[J]. DIFFERENTIAL EQUATIONS, 2013, 49 (08) : 955 - 962
[2] Eigenvalue asymptotics for Sturm-Liouville operators with singular potentials
Hryniv, R. O.
Mykytyuk, Y. V.
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 238 (01) : 27 - 57
[3] Asymptotics of Eigenfunctions for Sturm-Liouville Problem in Difference Equations
Bas, Erdal
Ozarslan, Ramazan
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[4] Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Holder spaces
Sadovnichaya, I. V.
[J]. DIFFERENTIAL EQUATIONS, 2012, 48 (05) : 681 - 692
[5] Sturm-liouville operators with singular potentials
A. M. Savchuk
A. A. Shkalikov
[J]. Mathematical Notes, 1999, 66 : 741 - 753
[6] Sturm-Liouville operators with singular potentials
Savchuk, AM
Shkalikov, AA
[J]. MATHEMATICAL NOTES, 1999, 66 (5-6) : 741 - 753
[7] Sturm-Liouville operators with singular potentials
Savchuk A.M.
[J]. Journal of Mathematical Sciences, 2007, 144 (4) : 4264 - 4266
[8] The completeness of eigenfunctions of perturbation connected with Sturm-Liouville operators
Wang Z.
Wu H.
[J]. Journal of Systems Science and Complexity, 2006, 19 (4) : 527 - 537
[9] THE COMPLETENESS OF EIGENFUNCTIONS OF PERTURBATION CONNECTED WITH STURM-LIOUVILLE OPERATORS
Zhong WANG Department of Mathematics
[J]. Journal of Systems Science & Complexity, 2006, (04) : 527 - 537
[10] Equiconvergence of expansions in eigenfunctions of Sturm-Liouville operators with distributional potentials in Hölder spaces
I. V. Sadovnichaya
[J]. Differential Equations, 2012, 48 : 681 - 692

← 1 2 3 4 5 →