1. Methods of oscillation theory of half-linear second order differential equations
- Creator:
- Došlý, Ondřej
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- half-linear equation, Riccati technique, variational principle, reciprocity principle, principal solution, and oscillation and nonoscillation criteria
- Language:
- English
- Description:
- In this paper we investigate oscillatory properties of the second order half-linear equation \[ (r(t)\Phi (y^{\prime }))^{\prime }+c(t)\Phi (y)=0, \quad \Phi (s):= |s|^{p-2}s. \qquad \mathrm{{(*)}}\] Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public