On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument

Title:

On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument

Creator:

Koplatadze, Roman

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ab85a835-d916-4160-8119-0ce3823ed3fd
uuid:ab85a835-d916-4160-8119-0ce3823ed3fd

Subject:

proper solution, property {\bf A}, and property {\bf B}

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We study oscillatory properties of solutions of the Emden-Fowler type differential equation $$u^{(n)}(t)+p(t)\big |u(\sigma (t))\big |^\lambda \operatorname{sign} u(\sigma (t))=0,$$ where $0<\lambda <1$, $p\in L_{\rm loc }(\Bbb R_+;\Bbb R)$, $\sigma \in C(\Bbb R_+;\Bbb R_+)$ and $\sigma (t)\ge t$ for $t\in \Bbb R_+$. \endgraf Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established. \endgraf Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).

Language:

English

Rights:

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

Coverage:

817-833

Source:

Czechoslovak Mathematical Journal | 2010 Volume:60 | Number:3

Harvested from:

CDK

Metadata only:

false