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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING 被引量:2

OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING
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摘要 This paper concerns the oscillation of solutions of the second order nonlinear dynamic equation with p-Laplacian and damping(r(t)φ(x^△(t))^△+p(t)φα(x^△α(t)+q(t)f(xδ(t))=0on a time scale T which is unbounded above. Sign changes are allowed for the coefficient functions r, p and q. Several examples are given to illustrate the main results. This paper concerns the oscillation of solutions of the second order nonlinear dynamic equation with p-Laplacian and damping(r(t)φ(x^△(t))^△+p(t)φα(x^△α(t)+q(t)f(xδ(t))=0on a time scale T which is unbounded above. Sign changes are allowed for the coefficient functions r, p and q. Several examples are given to illustrate the main results.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2013年第4期975-988,共14页 数学物理学报(B辑英文版)
基金 supported in part by the NNSF of China(10971231 and 11271379)
关键词 OSCILLATION dynamic equations time scales oscillation dynamic equations time scales
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