156
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Positive solutions of the Emden–Fowler difference equation

Pages 234-260 | Received 26 Sep 2011, Accepted 20 Oct 2011, Published online: 23 Nov 2011

References

  • Agarwal , R.P. 2000 . Difference Equations and Inequalities: Theory, Methods and Applications , New York : Springer .
  • Bellman , R. 1953 . Stability Theory of Differential Equations , New York : McGraw-Hill .
  • Cecchi , M. , Dosla , Z. and Marini , M. 2004 . On recessive and dominant solutions for half-linear difference equations . J. Differ. Equ. Appl. , 10 ( 9 ) : 797 – 808 .
  • Cecchi , M. , Dosla , Z. and Marini , M. 2005 . Half-linear equations and characteristic properties of the principal solution . J. Differ. Equ. Appl. , 8 ( 2 ) : 494 – 507 .
  • Cheng , S.S. , Li , H.J. and Patula , W.T. 2001 . Bounded and zero convergent solutions of second order difference equations . Comput. Math. Appl. , 42 : 515 – 528 .
  • Diblik , J. 2001 . Discrete retract principle for systems of discrete equations . Comput. Math. Appl. , 42 : 515 – 528 .
  • Drozdowicz , A. and Popenda , J. 1987 . Asymptotic behavior of the solutions of the second order difference equation . Proc. Amer. Math. Soc. , 99 ( 1 ) : 135 – 140 .
  • Elaydi , S. 2005 . An Introduction to Difference Equations , New York : Springer .
  • Emden , R. 1907 . Gaskugeln Anwendungen der mechanishen Warmen-theorie auf Kosmologie metheorologishe Probleme , Leipzig : Teubner .
  • Fermi , E. 1927 . Un metodo statistico par la determinazione di alcun proprieta dell'atome . Rend. Accad. Naz. Linceicl. Sci. Fys. Mat. Nat. , 6 : 602 – 607 .
  • Hooker , J. and Patula , W. 1991 . A second order nonlinear difference equations: Oscillations and asymptotic behavior . J. Math. Anal. Appl. , 91 : 9 – 29 .
  • Kharkov , V. 2009 . Asymptotic representations of one class of solutions of a second-order difference equation with power nonlinearity . Ukrainian Math. J. , 61 ( 6 ) : 994 – 1012 . DOI: 10.1007/s11253-009-0250-9
  • Kharkov , V. 2009 . Asymptotic behavior of a class of solutions of second-order Emden–Fowler difference equations , Proceedings of the 14th International Conference on Difference Equations and Applications Edited by: Bohner , M. , Dosla , Z. , Ladas , G. , Unal , M. and Zafer , A. 213 – 220 . Istanbul : Bahcesehir University Publishing Company . ISBN 978-975-6437-80-3
  • Kiguradze , I.T. and Chanturia , T.A. 1993 . Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations , Mathematics and its Applications Dordrecht : Kluwer Academic Publishers Group .
  • Thandapani , E. , Pandian , S. and Balasubramanian , R.K. 2004 . Asymptotic behavior of solutions of a class of second order quasilinear difference equations . Kyungpook Math. J. , 44 : 173 – 185 .
  • Trench , W.F. 1993 . Asymptotic behavior of solutions of Emden–Fowler difference equations with oscillating coefficients . J. Math. Anal. Appl. , 179 : 135 – 153 .
  • Vishnyakov , V.I. , Dragan , G.S. , Evtuhov , V.M. and Margashuk , S.V. 1987 . Distribution of electrostatic potential in the spherically symmetric plasma . Thermophys. High Temp. , 25 ( 3 ) : 620 Dep. in Viniti 13.12.86, 8791, 17 pp

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.