Some estimates for the first eigenvalue of the Sturm-Liouville problem with a weight integral condition

Title:

Some estimates for the first eigenvalue of the Sturm-Liouville problem with a weight integral condition

Creator:

Telnova, Maria

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3187db4f-a8c9-497e-8c8b-2a8b248d2958
uuid:3187db4f-a8c9-497e-8c8b-2a8b248d2958
doi:10.21136/MB.2012.142868

Subject:

first eigenvalue, Sturm-Liouville problem, and weight integral condition

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let λ1(Q) be the first eigenvalue of the Sturm-Liouville problem y ′′ − Q(x)y + λy = 0, y(0) = y(1) = 0, 0 < x < 1. We give some estimates for mα,β,γ = inf Q∈Tα,β,γ λ1(Q) and Mα,β,γ = sup Q∈Tα,β,γ λ1(Q), where Tα,β,γ is the set of real-valued measurable on [0, 1] x α(1 − x) β -weighted Lγ-functions Q with non-negative values such that ∫ 1 0 x α(1 − x) βQ γ (x) dx = 1 (α, β, γ ∈ ℝ, γ ≠ 0).

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

229-238

Source:

Mathematica bohemica | 2012 Volume:137 | Number:2

Harvested from:

CDK

Metadata only:

false