Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation

Authors

Bo Zhang, Fayetteville State University

Document Type

Article

Publication Date

6-1-1996

Abstract

Consider the retarded Liénard equation x? + f(x)x? + g(x(t - h)) = 0, where f, g: R ? R are continuous and h ? 0. Using Liapunov's direct method, we give necessary and sufficient conditions to ensure boundedness and oscillation of all solutions and their derivatives. © 1996 Academic Press, Inc.

Recommended Citation

Zhang, Bo, "Necessary and sufficient conditions for boundedness and oscillation in the retarded Liénard equation" (1996). College of Health, Science, and Technology. 101.
https://digitalcommons.uncfsu.edu/college_health_science_technology/101