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Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT 

Year 2010, Volume: 39 Issue: 4, 545 - 553, 01.04.2010

References

  • Agarwal, R. P., Bohner, M. and Grace, S. R. On the oscillation of second-order half-linear dynamic equations, J. Difference Equ. Appl. 15 (5), 451–460, 2009.
  • Agarwal, R. P., Bohner, M., Grace, S. R. and O’Regan, D. Discrete Oscillation Theory (Hindawi Publishing Corporation, 2005).
  • Agarwal, R. P., Grace, S. R. and O’Regan D. Oscillation Theory for Difference and Func- tional Differential Equations (Kluwer Academic Publishers, Dordrecht, 2000).
  • Agarwal,R. P., Grace, S. R. and O’Regan, D. Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations (Kluwer Academic Publishers, Dordrecht, 2002).
  • Agarwal, R. P., Grace, S. R. and O’Regan D. Oscillation Theory for Second Order Dynamic Equations, (Volume 5, Series in Mathematical Analysis and Applications, Taylor and Francis Ltd., London, 2003).
  • Agarwal, R. P., Grace, S. R. and Wong, P. J. Y. Oscillation of fourth order nonlinear differ- ence equations, Int. J. Difference Equ. 2 (2), 123–137, 2007.
  • Atadzhanov, B. A. Sufficient conditions for oscillation and nonoscillation of fourth-order equations, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 4, 9–17, 1990. [8] Bohner, M. and Guseinov, G. Sh. Multiple Lebesgue integration on time scales, Adv. Differ- ence Equ. 12, Art. ID 26391, 2006.
  • Bohner, M. and Lutz, D. A. Asymptotic expansion and analytic dynamic equations, ZAMM Z. Angew. Math. Mech. 86 (1), 37–45, 2006.
  • Bohner, M. and Peterson, A. Dynamic Equations on Time Scales: An Introduction with Applications (Birkh¨auser, Boston, 2001).
  • Bohner, M. and Peterson, A. Advances in Dynamic Equations on Time Scales (Birkh¨auser, Boston, 2003).
  • Bohner, M. and Saker, S. H. Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain J. Math., 34 (4), 1239–1254, 2004.
  • Chang, Y. Oscillation of certain fourth order difference equations, Acta Math. Appl. Sinica 23(3), 466–471, 2000.
  • Elias, U. Oscillation Theory of Two-Term Differential Equations (Volume 396, Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, 1997).
  • Erbe, L., Peterson, A. and ˇReh´ak, P. Comparison theorems for linear dynamic equations on time scales, J. Math. Anal. Appl. 275 (1), 418–438, 2002.
  • Feng, B. and Yu, Y. On the oscillation of the fourth order differential equations, Chinese Quart. J. Math., 12 (4), 1–10, 1997.
  • Hilger, S. Analysis on measure chains – a unified approach to continuous and discrete calculus, Results Math. 18, 18–56, 1990.
  • Kiguradze, I. T. and Chanturia, T. A. Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations (Volume 89, Mathematics and its Applications (Soviet Se- ries), Kluwer Academic Publishers Group, Dordrecht, 1993, Translated from the 1985 Rus- sian original).
  • Schmeidel, E. Oscillation and nonoscillation theorems for fourth order difference equations, Rocky Mountain J. Math. 33 (3), 1083–1094, 2003.
  • Sun, S., Han, Z. and Zhang, C. Oscillation of second-order delay dynamic equations on time scales, J. Appl. Math. Comput. 30 (1-2), 459–468, 2009.
  • Tanigawa, T. Oscillation and nonoscillation theorems for a class of fourth order differential equations with deviating arguments, S¯urikaisekikenky¯usho K¯oky¯uroku 1254, 193–201, 2002. (Dynamics of functional equations and related topics (Japanese), Kyoto, 2001).
  • Taylor Jr., W. E. Fourth order difference equations: oscillation and nonoscillation, Rocky Mountain J. Math. 23 (2), 781–795, 1993.
  • Thandapani, E. and Arockiasamy, I. M. Some oscillation and non-oscillation theorems for fourth order difference equations, Z. Anal. Anwendungen 19 (3), 863–872, 2000.
  • Thandapani, E. and Selvaraj, B. Oscillatory and nonoscillatory behavior of fourth order quasilinear difference equations, Far East J. Appl. Math. 17 (3), 287–307, 2004.

Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT 

Year 2010, Volume: 39 Issue: 4, 545 - 553, 01.04.2010

References

  • Agarwal, R. P., Bohner, M. and Grace, S. R. On the oscillation of second-order half-linear dynamic equations, J. Difference Equ. Appl. 15 (5), 451–460, 2009.
  • Agarwal, R. P., Bohner, M., Grace, S. R. and O’Regan, D. Discrete Oscillation Theory (Hindawi Publishing Corporation, 2005).
  • Agarwal, R. P., Grace, S. R. and O’Regan D. Oscillation Theory for Difference and Func- tional Differential Equations (Kluwer Academic Publishers, Dordrecht, 2000).
  • Agarwal,R. P., Grace, S. R. and O’Regan, D. Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations (Kluwer Academic Publishers, Dordrecht, 2002).
  • Agarwal, R. P., Grace, S. R. and O’Regan D. Oscillation Theory for Second Order Dynamic Equations, (Volume 5, Series in Mathematical Analysis and Applications, Taylor and Francis Ltd., London, 2003).
  • Agarwal, R. P., Grace, S. R. and Wong, P. J. Y. Oscillation of fourth order nonlinear differ- ence equations, Int. J. Difference Equ. 2 (2), 123–137, 2007.
  • Atadzhanov, B. A. Sufficient conditions for oscillation and nonoscillation of fourth-order equations, Izv. Akad. Nauk Turkmen. SSR Ser. Fiz.-Tekhn. Khim. Geol. Nauk 4, 9–17, 1990. [8] Bohner, M. and Guseinov, G. Sh. Multiple Lebesgue integration on time scales, Adv. Differ- ence Equ. 12, Art. ID 26391, 2006.
  • Bohner, M. and Lutz, D. A. Asymptotic expansion and analytic dynamic equations, ZAMM Z. Angew. Math. Mech. 86 (1), 37–45, 2006.
  • Bohner, M. and Peterson, A. Dynamic Equations on Time Scales: An Introduction with Applications (Birkh¨auser, Boston, 2001).
  • Bohner, M. and Peterson, A. Advances in Dynamic Equations on Time Scales (Birkh¨auser, Boston, 2003).
  • Bohner, M. and Saker, S. H. Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain J. Math., 34 (4), 1239–1254, 2004.
  • Chang, Y. Oscillation of certain fourth order difference equations, Acta Math. Appl. Sinica 23(3), 466–471, 2000.
  • Elias, U. Oscillation Theory of Two-Term Differential Equations (Volume 396, Mathematics and its Applications, Kluwer Academic Publishers, Dordrecht, 1997).
  • Erbe, L., Peterson, A. and ˇReh´ak, P. Comparison theorems for linear dynamic equations on time scales, J. Math. Anal. Appl. 275 (1), 418–438, 2002.
  • Feng, B. and Yu, Y. On the oscillation of the fourth order differential equations, Chinese Quart. J. Math., 12 (4), 1–10, 1997.
  • Hilger, S. Analysis on measure chains – a unified approach to continuous and discrete calculus, Results Math. 18, 18–56, 1990.
  • Kiguradze, I. T. and Chanturia, T. A. Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations (Volume 89, Mathematics and its Applications (Soviet Se- ries), Kluwer Academic Publishers Group, Dordrecht, 1993, Translated from the 1985 Rus- sian original).
  • Schmeidel, E. Oscillation and nonoscillation theorems for fourth order difference equations, Rocky Mountain J. Math. 33 (3), 1083–1094, 2003.
  • Sun, S., Han, Z. and Zhang, C. Oscillation of second-order delay dynamic equations on time scales, J. Appl. Math. Comput. 30 (1-2), 459–468, 2009.
  • Tanigawa, T. Oscillation and nonoscillation theorems for a class of fourth order differential equations with deviating arguments, S¯urikaisekikenky¯usho K¯oky¯uroku 1254, 193–201, 2002. (Dynamics of functional equations and related topics (Japanese), Kyoto, 2001).
  • Taylor Jr., W. E. Fourth order difference equations: oscillation and nonoscillation, Rocky Mountain J. Math. 23 (2), 781–795, 1993.
  • Thandapani, E. and Arockiasamy, I. M. Some oscillation and non-oscillation theorems for fourth order difference equations, Z. Anal. Anwendungen 19 (3), 863–872, 2000.
  • Thandapani, E. and Selvaraj, B. Oscillatory and nonoscillatory behavior of fourth order quasilinear difference equations, Far East J. Appl. Math. 17 (3), 287–307, 2004.
There are 23 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Said R. Grace This is me

Martin Bohner This is me

 shurong Sun This is me

Publication Date April 1, 2010
Published in Issue Year 2010 Volume: 39 Issue: 4

Cite

APA Grace, S. R., Bohner, M., & Sun, . (2010). Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 39(4), 545-553.
AMA Grace SR, Bohner M, Sun . Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. April 2010;39(4):545-553.
Chicago Grace, Said R., Martin Bohner, and  shurong Sun. “Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39, no. 4 (April 2010): 545-53.
EndNote Grace SR, Bohner M, Sun  (April 1, 2010) Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 39 4 545–553.
IEEE S. R. Grace, M. Bohner, and  . Sun, “Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 545–553, 2010.
ISNAD Grace, Said R. et al. “Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 2010), 545-553.
JAMA Grace SR, Bohner M, Sun . Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39:545–553.
MLA Grace, Said R. et al. “Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, 2010, pp. 545-53.
Vancouver Grace SR, Bohner M, Sun . Oscillation of Fourth-Order Dynamic Equations  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39(4):545-53.