## Differential and Integral Equations

### Asymptotic formula of eigenvalues of sublinear Sturm-Liouville problems

Tetsutaro Shibata

#### Abstract

We consider the sublinear Sturm-Liouville problems with power nonlinearity. We establish asymptotic formulas of eigenvalues as the $L^2$-norm and $L^\infty$-norm of the corresponding eigenfunctions tend to zero.

#### Article information

Source
Differential Integral Equations, Volume 8, Number 1 (1995), 183-200.

Dates
First available in Project Euclid: 21 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369143791

Mathematical Reviews number (MathSciNet)
MR1296117

Zentralblatt MATH identifier
0813.34073

Subjects
Primary: 34B15: Nonlinear boundary value problems
Secondary: 34L30: Nonlinear ordinary differential operators

#### Citation

Shibata, Tetsutaro. Asymptotic formula of eigenvalues of sublinear Sturm-Liouville problems. Differential Integral Equations 8 (1995), no. 1, 183--200. https://projecteuclid.org/euclid.die/1369143791