Dependence of eigenvalues of sixth-order boundary value problems on the boundary

Authors

  • S. Ge Inner Mongolia University
  • W. Wang Inner Mongolia University
  • Q. Yang Dezhou University

Keywords:

sixth-order boundary value problems, Boundary condition, Eigenvalues

Abstract

In this paper, we consider the dependence of eigenvalues of sixth-order boundary value problems on the boundary. We show that the eigenvalues depend not only continuously but smoothly on boundary points, and that the derivative of the nth eigenvalue as a function of an endpoint satisfies a first order differential equation. In addition, we prove that as the length of the interval shrinks to zero all higher eigenvalues of such kind of boundary value problems march off to plus infinity, this is also true for the first (that is, lowest) eigenvalue. DOI:- 10.1017/S0004972714000598

Author Biographies

S. Ge, Inner Mongolia University

School of Mathematical Sciences

W. Wang, Inner Mongolia University

School of Mathematical Sciences

Q. Yang, Dezhou University

College of Information and Management

Published

2014-09-20

Issue

Vol. 90 No. 3 (2014)

Section

Articles
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