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This paper is concerned with the asymptotic behavior of solutions of the second-order nonlinear perturbed dynamic equation [수식] on a time scale T. By using a new technique we establish some sufficient conditions which ensure that every solution oscillates or converges to zero.
Our results improve the known oscillation results on the literature for the perturbed dynamic equations on time scales. Some examples illustrating our main results are given.
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참고문헌 (23)
참고문헌 신청
E. A. Bohner / 2003 / Oscillation properties of an Emden-Fowler type equation on discrete time scales / J. Difference Eqns. Appl. 9 (6) : 60 ~ 612
E. A. Bohner / 2007 / Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations / Electron. Trans. Numer. Anal. 27 : 1 ~ 12
G. H. Hardy / 1952 / Inequalities, 2nd Ed / Cambridge Univ. Press
L. Erbe / 2001 / Oscillation criteria for second order linear equations on a time scale / Canad. Appl. Math. Quart. 9 (4) : 345 ~ 375
L. Erbe / 2001 / Riccati equations on a measure chain, Dynamic systems and applications, Vol. 3 / Dynamic : 193 ~ 199
E. A. Bohner / 2007 / Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations / Electron. Trans. Numer. Anal. 27 : 1 ~ 12
G. H. Hardy / 1952 / Inequalities, 2nd Ed / Cambridge Univ. Press
L. Erbe / 2001 / Oscillation criteria for second order linear equations on a time scale / Canad. Appl. Math. Quart. 9 (4) : 345 ~ 375
L. Erbe / 2001 / Riccati equations on a measure chain, Dynamic systems and applications, Vol. 3 / Dynamic : 193 ~ 199
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