Taher S. HASSAN , Qingkai KONG . OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH p-LAPLACIAN AND DAMPING[J]. Acta mathematica scientia, Series B, 2013 , 33(4) : 975 -988 . DOI: 10.1016/S0252-9602(13)60056-9

[1] Akin-Bohner E, Bohner M, Saker S H. Oscillation criteria for a certain class of second order Emden-Fowler dynamic equations. Electron Trans Numer Anal, 2007, 27: 1–12

[2] Atkinson F V. On second order nonlinear oscillations. Pacific J Math, 1955, 5: 643–647

[3] Baoguo J, Erbe L, Peterson A. Kiguradze-type oscillation theorems for second order superlinear dynamic equations on time scales. Can Math Bull, 2011, 54: 580–592

[4] Belohorec S. Two remarks on the properties of solutions of a nonlinear differential equation. Acta Fac Rerum Natur Univ Comenian Math Publ, 1969, 22: 19–26

[5] Bohner M, Hassan T S. Oscillation and boundedness of solutions to first and second order forced functional dynamic equations with mixed nonlinearities. Appl Anal Discrete Math, 2009, 3: 242–252

[6] Bohner M, Erbe L, Peterson A. Oscillation for nonlinear second order dynamic equations on a time scale. J Math Anal Appl, 2005, 301: 491–507

[7] Bohner M, Peterson A. Dynamic Equation on Time Scales: An Introduction with Applications. Boston: Birkh¨auser, 2001

[8] Bohner M, Peterson A. Advances in Dynamic Equations on Time Scales. Boston: Birkh¨auser, 2003

[9] Erbe L. Oscillation criteria for second order linear equations on a time scale. Canad Appl Math Quart, 2001, 9: 346–375

[10] Erbe L, Baoguo J, Peterson A. Belohorec-type oscillation theorem for second order sublinear dynamic equations on time scales. Math Nach, 2011, 284: 1658–1668

[11] Erbe L, Hassan T S, Peterson A. Oscillation criteria for nonlinear damped dynamic equations on time scales. Appl Math Comput, 2008, 203: 343–357

[12] Erbe L, Peterson A. Boundedness and oscillation for nonlinear dynamic equation on a time scale. Proc Amer Math Soc, 2003, 132: 735–744

[13] Erbe L, Peterson A. An oscillation result for a nonlinear dynamic equation on a time scale. Canad Appl Math Quart, 2003, 11: 143–159

[14] Fite W B. Concerning the zeros of solutions of certain differential equations. Trans Amer Math Soc, 1917, 19: 341–352

[15] Hassan T S, Erbe L, Peterson A. Oscillation of second order superlinear dynamic equations with damping on time scales. Comput Math Appl, 2010, 59: 550–558

[16] Hassan T S, Erbe L, Peterson A. Oscillation criteria for second order sublinear dynamic equations with damping term. J Differ Equ Appl, 2011, 17: 505–523

[17] Hassan T S. Oscillation criteria for half-linear dynamic equations on time scales. J Math Anal Appl, 2008, 345: 176–185

[18] Hassan T S. Kamenev-type oscillation criteria for second order nonlinear dynamic equations on time scales. Appl Math Comput, 2011, 217: 5285–5297

[19] Hassan T S. Oscillation criteria for second order nonlinear dynamic equations. Adv Differ Equ, 2012, 2012: 171

[20] Hilger S. Analysis on measure chains — a unified approach to continuous and discrete calculus. Results Math, 1990, 18: 18–56

[21] Hooker J W, Patula W T. A second order nonlinear difference equation: Oscillation and asymptotic behavior. J Math Anal Appl, 1983, 91: 9–29

[22] P¨otzsche C. Chain rule and invariance principle on measure chains. J Comput Appl Math, 2002, 141: 249–254

[23] Kiguradze I T. A note on the oscillation of solutions of the equation u′′ +a(t)unsgn : u = 0. Casopis Pest Mat, 1967, 92: 343–350

[24] Mingarelli A B. Volterra-Stieltjes Integral Equations and Generalized Differential Equations. Lecture Notes in Mathematics 989. Springer-Verlag, 1983

[25] Wong J S W. Oscillation criteria for second order nonlinear differential equations involving general means. J Math Anal Appl, 2000, 247: 489–505