55
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

First order difference equations with maxima and nonlinear functional boundary value conditions

, &
Pages 565-576 | Received 22 Jun 2005, Published online: 25 Jan 2007

References

  • Agarwal , R.P. , Cabada , A. , Otero-Espinar , V. and Dontha , S. 2004 . Existence and uniqueness of solutions for anti-periodic difference equations . Archives of Inequalities and Applications , 2 ( 4 ) : 397 – 411 .
  • Atici , F. , Cabada , A. and Ferreiro , J.B. 2002 . Existence and comparison results for first order periodic implicit difference equations with maxima . Journal of Difference Equations and Applications , 8 ( 4 ) : 357 – 369 . In honor of Professor Lynn Erbe
  • Cabada, A., The method of lower and upper solutions for periodic and anti-periodic difference equation. Electronic Transactions on Numerical Analysis, To appear.
  • Cabada , A. , Ferreiro , J.B. and Liz , E. 2001 . Comparison results for first order difference equations with maxima . Proceedings of the XVII Congress of Differential Equations and Applications/VII Congress of Applied Mathematics , In Spanish
  • Cabada , A. , Otero-Espinar , V. and Pouso , R.L. 2000 . Existence and approximation of solutions for discontinuous first order difference problems with nonlinear functional boundary conditions in the presence of lower and upper solutions . Computers & Mathematics with Applications , 39 : 21 – 33 .
  • Cabada , A. and Otero-Espinar , V. 2000 . Optimal existence results for nth order periodic boundary value difference equations . Journal of Mathematical Analysis and Applications , 247 : 67 – 86 .
  • Cid , J.A. 2004 . On extremal fixed points in Schauder's theorem with applications to differential equations . Bulletin of the Belgian Mathematical Society—Simon Stevin , 11 ( 1 ) : 15 – 20 .
  • Franco , D. , O'Regan , D. and Perán , J. 2004 . Upper and lower solution theory for first and second order difference equations . Dynamics Systems & Applications , 13 ( 2 ) : 273 – 282 .
  • Liz , E. and Ferreiro , J.B. 2002 . A note on the global stability of generalized difference equations . Applied Mathematics Letters , 15 : 655 – 659 .
  • Mohamad , S. and Gopalsamy , K. 2000 . Continuous and discrete Halanay-type inequalities . Bulletin of the Australian Mathematical Society , 61 : 371 – 385 .
  • Pinto , M. and Trofimchuk , S. 2000 . Stability and existence of multiple solutions for a quasilinear differential equation with maxima . Proceedings of the Royal Society of Edinburgh Section A , 130 : 1103 – 1118 .
  • Xu , H.K. and Liz , E. 1996 . Boundary value problems for differential equations with maxima . Nonlinear Studies , 3 : 231 – 241 .

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.