Oscillation and nonoscillation criteria for linear dynamic systems on time scales

Authors:
Sheng-Chen Fu;Ming-Li Lin
Affiliations:
Department of Mathematical Sciences, National Chengchi University, 64, S-2 Zhi-nan Road, Taipei 116, Taiwan;Department of Mathematical Sciences, National Chengchi University, 64, S-2 Zhi-nan Road, Taipei 116, Taiwan
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 3
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Abstract

In this paper we establish oscillation and nonoscillation criteria for the linear dynamic system u^@D=pv,v^@D=-qu^@s. Here we assume that p and q are nonnegative, rd-continuous functions on a time scale T such that supT=~. Indeed, we extend some known oscillation results for differential systems and difference systems to the so-called dynamic systems.