On the Oscillation of Second-order Half-linear Dynamic Equations

Abstract

We obtain some oscillation criteria for solutions to the second-order half-linear dynamic equation (a(xΔ)α)Δ(t) + q(t)xα) = 0, when ∫∞ a-1/α(s)Δs = ∞ or ∫∞ a-1/α(s)Δs < ∞. These criteria unify and extend known criteria for corresponding half-linear differential and difference equations. Some of our results are new even in the continuous and the discrete cases. © 2009 Taylor & Francis.

Department(s)

Mathematics and Statistics

Comments

National Science Foundation, Grant 0624127

Keywords and Phrases

Dynamic equation; Half-linear; Oscillation; Second-order

International Standard Serial Number (ISSN)

1563-5120; 1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 May 2009

Share

 
COinS