On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations

Title:

On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations

Creator:

Astashova, Irina

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7f38a936-29ed-4f58-ba1e-e83cb8d59ea1
uuid:7f38a936-29ed-4f58-ba1e-e83cb8d59ea1
doi:10.21136/MB.2015.144464

Subject:

nonlinear ordinary differential equation of higher order, asymptotic behavior of solutions, and oscillatory solution

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

For the equation y (n) + |y| k sgn y = 0, k > 1, n = 3, 4, existence of oscillatory solutions y = (x ∗ − x) −α h(log(x ∗ − x)), α = n ⁄ k − 1 , x < x∗ , is proved, where x ∗ is an arbitrary point and h is a periodic non-constant function on R. The result on existence of such solutions with a positive periodic non-constant function h on R is formulated for the equation y (n) = |y| k sgn y, k > 1, n = 12, 13, 14.

Language:

English

Rights:

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

Coverage:

479-488

Source:

Mathematica bohemica | 2015 Volume:140 | Number:4

Harvested from:

CDK

Metadata only:

false