On nonoscillation of canonical or noncanonical disconjugate functional equations

Title:

On nonoscillation of canonical or noncanonical disconjugate functional equations

Creator:

Singh, Bhagat

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ffed6c11-1495-4d24-8528-39e2d7d304e0
uuid:ffed6c11-1495-4d24-8528-39e2d7d304e0

Subject:

canonical, noncanonical, oscillatory, nonoscillatory, and principal system

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Qualitative comparison of the nonoscillatory behavior of the equations \[ L_ny(t) + H(t,y(t)) = 0 \] and \[ L_ny(t) + H(t,y(g(t))) = 0 \] is sought by way of finding different nonoscillation criteria for the above equations. $L_n$ is a disconjugate operator of the form \[ L_n = \frac{1}{p_n(t)} \frac{\mathrm{d}{}}{\mathrm{d}t} \frac{1}{p_{n-1}(t)} \frac{\mathrm{d}{}}{\mathrm{d}t} \ldots \frac{\mathrm{d}{}}{\mathrm{d}t} \frac{\cdot }{p_0(t)}. \] Both canonical and noncanonical forms of $L_n$ have been studied.

Language:

English

Rights:

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

Coverage:

627-639

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:3

Harvested from:

CDK

Metadata only:

false