Advanced search
Publication Cover
Journal of Difference Equations and Applications Volume 17, 2011 - Issue 10
Submit an article Journal homepage
141
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Discrete boundary value problems involving oscillatory nonlinearities: small and large solutions

Alexandru Kristály Department of Economics, Babeş-Bolyai University, 400591, Cluj-Napoca, Romania
,
Mihai Mihăilescu Department of Mathematics, Central European University, 1051, Budapest, Hungary; Department of Mathematics, University of Craiova, 200585, Craiova, Romania
&
Vicenţiu Rădulescu Department of Mathematics, University of Craiova, 200585, Craiova, Romania; Institute of Mathematics ‘Simion Stoilow’ of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, RomaniaCorrespondence[email protected]
Pages 1431-1440 | Received 10 Dec 2009, Accepted 13 Dec 2009, Published online: 18 Feb 2010

References

  • Agarwal , R.P. 2000 . Difference Equations and Inequalities , New York : Marcel Dekker .
  • Agarwal , R.P. , Perera , K. and O'Regan , D. 2004 . Multiple positive solutions of singular and nonsingular discrete problems via variational methods . Nonlinear Anal. , 58 : 69 – 73 .
  • Agarwal , R.P. , Perera , K. and O'Regan , D. 2005 . Multiple positive solutions of singular discrete p-Laplacian problems via variational methods . Adv. Difference Equ. , 2 : 93 – 99 .
  • Bereanu , C. and Mawhin , J. 2006 . Existence and multiplicity results for periodic solutions of nonlinear difference equations . J. Difference Equ. Appl. , 12 ( 7 ) : 677 – 695 .
  • Bereanu , C. and Mawhin , J. 2008 . Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ . J. Difference Equ. Appl. , 14 ( 10–11 ) : 1099 – 1118 .
  • Bereanu , C. and Thompson , H.B. 2007 . Periodic solutions of second order nonlinear difference equations with discrete φ-Laplacian . J. Math. Anal. Appl. , 330 ( 2 ) : 1002 – 1015 .
  • Bonanno , G. and Candito , P. 2009 . Nonlinear difference equations investigated via critical point methods . Nonlinear Anal. , 70 : 3180 – 3186 .
  • Cabada , A. , Iannizzotto , A. and Tersian , S. 2009 . Multiple solutions for discrete boundary value problems . J. Math. Anal. Appl. , 356 : 418 – 428 .
  • Cai , X. and Yu , J. 2006 . Existence theorems for second-order discrete boundary value problems . J. Math. Anal. Appl. , 320 : 649 – 661 .
  • Kelley , W.G. and Peterson , A.C. 2001 . Difference Equations. An Introduction with Applications , 2nd ed. , San Diego, CA : Harcourt/Academic Press .
  • Lakshmikantham , V. and Trigiante , D. 1988 . “ Theory of difference equations ” . In Numerical Methods and Applications , Boston, MA : Academic Press . Mathematics in Science and Engineering, 181
  • Lovász , L. 2000 . Discrete and continuous: Two sides of the same? GAFA 2000 (Tel Aviv, 1999) . Geom. Funct. Anal. , : 359 – 382 . Special Volume, Part I
  • Mihăilescu , M. , Rădulescu , V. and Tersian , S. 2009 . Eigenvalue problems for anisotropic discrete boundary value problems . J. Difference Equ. Appl. , 15 : 557 – 567 .
  • Tang , H. , Luo , W. , Li , X. and Ma , M. 2008 . Nontrivial solutions of discrete elliptic boundary value problems . Comput. Math. Appl. , 55 ( 8 ) : 1854 – 1860 .
  • Yu , J. and Guo , Z. 2006 . On boundary value problems for a discrete generalized Emden–Fowler equation . J. Math. Anal. Appl. , 231 : 18 – 31 .
  • Zhang , G. and Liu , S. 2007 . On a class of semipositone discrete boundary value problem . J. Math. Anal. Appl. , 325 : 175 – 182 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.