Basis Properties in Lp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\varvec{L}}_{{\varvec{p}}}$$\end{document} of Root Functions of Sturm–Liouville Problem with Spectral Parameter-Dependent Boundary Conditions

被引：0
作者：
Ziyatkhan S. Aliyev
Aida A. Dunyamaliyeva
Yashar T. Mehraliyev
机构：
[1] Baku State University,Department of Mathematical Analysis
[2] NAS of Azerbaijan,Department of Differential Equations Institute of Mathematics and Mechanics
[3] NAS of Azerbaijan,Department of Functional Analysis Institute of Mathematics and Mechanics
[4] Baku State University,Department of Differential Equations
来源：
Mediterranean Journal of Mathematics | 2017年 / 14卷 / 3期
关键词：
Eigenvalue; root functions; spectral parameter in boundary conditions; Pontryagin space; basis properties of root functions; Primary 34B05; 34B08; 34B24; 34L10; Secondary 35P10; 47AO5; 47A75;
D O I：
10.1007/s00009-017-0933-7
中图分类号：
学科分类号：
摘要：
In this paper, we consider the Sturm–Liouville problem with spectral parameter in the boundary conditions. We associate this problem with a self-adjoint operator in the Pontryagin space Π2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Pi _{2}$$\end{document}. Using this operator-theoretic formulation and analytic methods, we study the basis properties in the space Lp(0,1),1<p<∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{p} (0,1),\,1<p < \infty $$\end{document}, of systems of root functions of this problem.
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