Table of Contents Author Guidelines Submit a Manuscript
Corrigendum

A corrigendum for this article has been published. To view the corrigendum, please click here.

Abstract and Applied Analysis
Volume 2014, Article ID 680919, 4 pages
http://dx.doi.org/10.1155/2014/680919
Research Article

Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations

College of Science, Hohai University, Nanjing 210098, China

Received 9 June 2014; Accepted 28 August 2014; Published 14 October 2014

Academic Editor: Juan R. Torregrosa

Copyright © 2014 Fanglei Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. C. Lazer and P. J. McKenna, “Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis,” SIAM Review, vol. 32, no. 4, pp. 537–578, 1990. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. Y. Ru and Y. An, “Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems,” Journal of Mathematical Analysis and Applications, vol. 324, no. 2, pp. 1093–1104, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. P. Kang, J. Xu, and Z. Wei, “Positive solutions for 2p-order and 2q-order systems of singular boundary value problems with integral boundary conditions,” Nonlinear Analysis: Theory, Methods & Applications, vol. 72, no. 6, pp. 2767–2786, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. Y. An and J. Feng, “Ambrosetti-Prodi type results in a system of second and fourth-order ordinary differential equations,” Electronic Journal of Differential Equations, vol. 2008, pp. 1–14, 2008. View at Google Scholar · View at MathSciNet
  5. Y. An, “Maximum principles for a coupled system of second and fourth order elliptic equations and an application,” Applied Mathematics and Computation, vol. 161, no. 1, pp. 121–127, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  6. R. Bellaman and R. Kalaba, Quasilinearisation and Nonliear Boundary Value Problems, American Elsevier, New York, NY, USA, 1965.
  7. V. Lakshmikantham and A. S. Vatsala, Genearalized Quasilinearization for Nonlinear Problems, Kluwer Academic, Boston, Mass, USA, 1998.
  8. G. A. Afrouzi and M. Alizadeh, “A quasilinearization method for p-Laplacian equations with a nonlinear boundary condition,” Nonlinear Analysis. Theory, Methods & Applications, vol. 71, no. 7-8, pp. 2829–2833, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. B. Ahmad and A. Alsaedi, “Existence of approximate solutions of the forced Duffing equation with discontinuous type integral boundary conditions,” Nonlinear Analysis: Real World Applications, vol. 10, no. 1, pp. 358–367, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. P. Amster and P. De Nápoli, “A quasilinearization method for elliptic problems with a nonlinear boundary condition,” Nonlinear Analysis: Theory, Methods & Applications, vol. 66, no. 10, pp. 2255–2263, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. M. El-Gebeily and D. O'Regan, “Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions,” Nonlinear Analysis: Real World Applications, vol. 8, no. 2, pp. 636–645, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. V. Lakshmikantham, S. Carl, and S. Heikkilä, “Fixed point theorems in ordered Banach spaces via quasilinearization,” Nonlinear Analysis: Theory, Methods & Applications, vol. 71, no. 7-8, pp. 3448–3458, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus