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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Oscillation criteria for second-order nonlinear delay dynamic equations
Journal of Mathematical Analysis and Applications, Volume 333, No. 1 SPEC. ISS., Year 2007
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Description
In this paper, we consider the second-order nonlinear delay dynamic equation(r (t) xΔ (t))Δ + p (t) f (x (τ (t))) = 0, on a time scale T. By employing the generalized Riccati technique we will establish some new sufficient conditions which ensure that every solution oscillates or converges to zero. The obtained results improve the well-known oscillation results for dynamic equations and include as special cases the oscillation results for differential equations. Some applications and examples are considered to illustrate the main results. © 2006.
Authors & Co-Authors
Erbe, Lynn H.
United States, Lincoln
University of Nebraska–lincoln
Peterson, Allan C.
United States, Lincoln
University of Nebraska–lincoln
Saker, S. H.
Egypt, Mansoura
Faculty of Science
Statistics
Citations: 143
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.jmaa.2006.10.055
ISSN:
0022247X
e-ISSN:
10960813