Oscillation criteria for nonlinear differential equations with p(t)-Laplacian

Title:

Oscillation criteria for nonlinear differential equations with p(t)-Laplacian

Creator:

Shoukaku, Yutaka

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7ba39d1f-cc55-4da3-90fc-611144130ec4
uuid:7ba39d1f-cc55-4da3-90fc-611144130ec4
doi:10.21136/MB.2016.5

Subject:

p(t)-Laplacian, oscillation theory, and Riccati inequality

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Recently there has been an increasing interest in studying p(t)-Laplacian equations, an example of which is given in the following form (|u ′ (t)| p(t)−2 u ′ (t))′ + c(t)|u(t)| q(t)−2 u(t) = 0, t > 0. In particular, the first study of sufficient conditions for oscillatory solution of p(t)-Laplacian equations was made by Zhang (2007), but to our knowledge, there has not been a paper which gives the oscillatory conditions by utilizing Riccati inequality. Therefore, we establish sufficient conditions for oscillatory solution of nonlinear differential equations with p(t)- Laplacian via Riccati method. The results obtained are new and rare, except for a work of Zhang (2007). We present more detailed results than Zhang (2007).

Language:

English

Rights:

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

Coverage:

71-81

Source:

Mathematica bohemica | 2016 Volume:141 | Number:1

Harvested from:

CDK

Metadata only:

false