References
- Agarwal , R.P. , Grace , S.R. and O'Regan , D. 2002 . Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations , Dordrecht : Kluwer Academic Publishers .
- Anderson , D.R. 2007 . Oscillation of second-order forced functional dynamic equations with oscillatory potentials . J. Differ. Equ. Appl. , 13 ( 5 ) : 407 – 421 .
- Bohner , M. and Peterson , A. 2001 . Dynamic Equations on Time Scales, An Introduction with Applications , Boston : Birkhäuser .
- Bohner , M. and Peterson , A. , eds. 2003 . Advances in Dynamic Equations on Time Scales , Boston : Birkhäuser .
- Bohner , M. and Tisdell , C. 2007 . Oscillation and nonoscillation of forced second order dynamic equations . Pac. J. Math. , 230 ( 1 ) : 59 – 71 .
- Došlý , O. and Marek , D. 2005 . Half-linear dynamic equations with mixed derivatives . Elec. J. Differ. Equ. , 2005 : 1 – 18 .
- Došlý , O. and Řehák , P. 2005 . Half-Linear Differential Equations , North-Holland : Elsevier .
- Došlý , O. , Graef , J.R. and Jaroš , J. 2003 . Forced oscillation of second-order linear and half-linear difference equations . Proc. Am. Math. Soc. , 131 : 2859 – 2867 .
- Dzurina , J. 1995 . Oscillation of second-order differential equations with mixed argument . J. Math. Anal. Appl. , 190 : 821 – 828 .
- Elbert , Á. 1979 . “ A half-linear second order differential equation ” . In Colloquia Math. Soc. Jnos Bolyai 30: Qualitative Theory of Differential Equations, Szeged 153 – 180 .
- El-Sayed , M.A. 1993 . An oscillation criterion for a forced second order linear differential equation . Proc. Am. Math. Soc. , 118 : 813 – 817 .
- Erbe , L.H. , Kong , Q. and Zhang , B.G. 1995 . Oscillation Theory for Functional Differential Equations , New York : Marcel Dekker .
- Erbe , L. , Peterson , A. and Saker , S.H. 2006 . Kamenev-type oscillation criteria for second-order linear delay dynamic equations . Dyn. Syst. Appl. , 15 : 65 – 78 .
- Erbe , L. , Peterson , A. and Saker , S.H. 2006 . Hille-Kneser-type criteria for second-order linear dynamic equations . Adv. Differ. Equ. , 2006 : 1 – 18 .
- Erbe , L. , Peterson , A. and Saker , S.H. 2007 . Oscillation criteria for second-order nonlinear delay dynamic equations . J. Math. Anal. Appl. , 333 : 505 – 522 . preprint
- Gopalsamy , K. 1985 . Nonoscillatory differential equations with retarded and advanced arguments . Quart. Appl. Math. , 43 : 211 – 214 .
- Güvenilir , A.F. and Zafer , A. 2006 . Second-order oscillation of forced functional differential equations with oscillatory potentials . Comput. Math. Appl. , 51 : 1395 – 1404 .
- Gyori , I. and Ladas , G. 1991 . Oscillation Theory of Delay Differential Equation with Applications , Oxford : Clarendon .
- Hardy , G.H. , Littlewood , J.E. and Polya , G. 1988 . Inequalities , 2nd ed. , Cambridge : Cambridge University Press .
- Hilger , S. 1990 . Analysis on measure chains – A unified approach to continuous and discrete calculus . Results Math. , 18 : 18 – 56 .
- Ladas , G. and Stavroulakis , I.P. 1982 . Oscillations caused by several retarded and advanced arguments . J. Differ. Equ. , 44 : 134 – 152 .
- Li , W.T. 2004 . Interval oscillation of second-order half-linear functional differential equations . Appl. Math. Comput. , 155 : 451 – 468 .
- Li , W.T. and Cheng , S.S. 2002 . An oscillation criteria for nonhomogeneous half-linear differential equations . Appl. Math. Lett. , 15 : 259 – 263 .
- Li , X. and Zhu , D. 2002 . Oscillation and nonoscillation of advanced differential equations with variable coefficients . J. Math. Anal. Appl. , 269 : 462 – 488 .
- Manojlovic , J.V. 1999 . Oscillation criteria for second-order half-linear differential equations . Math. Comput. Model. , 30 : 109 – 119 .
- Mirzov , J.D. 1976 . On some analogs of Sturm's and Kneser's theorems for nonlinear systems . J. Math. Anal. Appl. , 53 : 418 – 425 .
- Nasr , A.H. 1997 . Necessary and sufficient conditions for the oscillation of forced nonlinear second order differential equations with delayed argument . J. Math. Anal. Appl. , 212 : 363 – 367 .
- Nasr , A.H. 1998 . Sufficient conditions for the oscillation of forced superlinear second order differential equations with oscillatory potential . Proc. Am. Math. Soc. , 126 : 123 – 125 .
- Řehák , P. 2002 . Half-linear dynamic equations on time scales: IVP and oscillatory properties . J. Nonlinear Funct. Anal. Appl. , 7 : 361 – 403 .
- Řehák , P. 2003 . Comparison theorems and strong oscillation in the half-linear discrete oscillation theory . Rocky Mountain J. Math. , 33 : 333 – 352 .
- Řehák , P. 2005 . Hardy inequality on time scales and its applications to half-linear dynamic equations . J. Ineq. Appl. , 5 : 495 – 507 .
- Řehák , P. 2005 . On certain comparison theorems for half-linear dynamic equations on time scales . Abst. Appl. Anal. , 5 : 495 – 507 .
- Saker , S.H. 2005 . Oscillation criteria of second-order half-linear dynamic equations on time scales . J. Comp. Appl. Math. , 177 : 375 – 387 .
- Skidmore , A. and Bowers , J.J. 1975 . Oscillatory behavior of solutions of y ″+p(x)y = f(x) . J. Math. Anal. Appl. , 49 : 317 – 323 .
- Sun , Y.G. 2003 . A note on Nasr's and Wong's papers . J. Math. Anal. Appl. , 286 : 363 – 367 .
- Thandapani , E. , Ravi , K. and Graef , J.R. 2001 . Oscillation and comparison theorems for half-linear second-order difference equations . Comput. Math. Appl. , 42 : 953 – 960 .
- Tiryaki , A. and Çakmak , D. 2005 . Oscillation criteria for certain forced second order nonlinear differential equations with delayed argument . Comput. Math. Appl. , 49 : 1647 – 1653 .
- Wang , Q-R. and Yang , Q-G. 2004 . An oscillation criteria for nonhomogeneous half-linear differential equations . J. Math. Anal. Appl. , 291 : 224 – 236 .
- Wong , J.S.W. 1999 . Oscillation criteria for a forced second order linear differential equation . J. Math. Anal. Appl. , 231 : 235 – 240 .
- Yu , Y.H. 1990 . Oscillations caused by several retarded and advanced arguments . Acta Math. Appl. Sin. (English Ser.) , 6 : 67 – 73 .
- Zafer , A. 2009 . Interval oscillation criteria for second order super-half-linear functional differential equations with delay and advanced arguments . Math. Nachr. , 282 ( 9 ) : 1334 – 1341 .