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New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales 被引量:6

New Oscillation Criteria of Second-Order Nonlinear Delay Dynamic Equations on Time Scales
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摘要 By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases. By using the generalized Riccati transformation and the integral averaging technique, the paper establishes some new oscillation criteria for the second-order nonlinear delay dynamic equations on time scales. The results in this paper unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales. The Theorems in this paper are new even in the continuous and the discrete cases.
出处 《Applied Mathematics》 2014年第21期3474-3483,共10页 应用数学(英文)
关键词 OSCILLATION CRITERION Dynamic EQUATIONS Time SCALE Oscillation Criterion Dynamic Equations Time Scale
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