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Journal of Applied Mathematics
Volume 2014, Article ID 901094, 7 pages
http://dx.doi.org/10.1155/2014/901094
Research Article

Positive Solutions for a Nonlinear Higher Order Differential System with Coupled Integral Boundary Conditions

1School of Mathematics and Statistics, Suzhou University, Anhui 234000, China
2School of Mathematics, University of Science and Technology of China, Anhui 230022, China

Received 7 April 2014; Accepted 13 August 2014; Published 24 August 2014

Academic Editor: Yong Shi

Copyright © 2014 Yaohong Li and Haiyan Zhang. 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. J. Henderson and R. Luca, “Positive solutions for a system of higher-order multi-point boundary value problems,” Computers & Mathematics with Applications, vol. 62, no. 10, pp. 3920–3932, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. S. Xie and J. Zhu, “Positive solutions of the system for nth-order singular nonlocal boundary value problems,” Journal of Applied Mathematics and Computing, vol. 37, no. 1-2, pp. 119–132, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. J. Henderson and R. Luca, “On a system of higher-order multi-point boundary value problems,” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2012, no. 49, pp. 1–14, 2012. View at Google Scholar · View at MathSciNet
  4. J. Xu and Z. Yang, “Positive solutions for a system of nth order nonlinear boundary value problems,” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2012, no. 4, pp. 1–16, 2012. View at Google Scholar · View at MathSciNet
  5. X. Zhang, C. Zhu, and Z. Wu, “Solvability for a coupled system of fractional differential equations with impulses at resonance,” Boundary Value Problems, vol. 2013, article 80, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  6. H. Amann, “Parabolic evolution equations and nonlinear boundary conditions,” Journal of Differential Equations, vol. 72, no. 2, pp. 201–269, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  7. Z. Lin and C. Xie, “The blow-up rate for a system of heat equations with nonlinear boundary conditions,” Nonlinear Analysis, vol. 34, no. 5, pp. 767–778, 1998. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. M. Pedersen and Z. Lin, “Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition,” Applied Mathematics Letters, vol. 14, no. 2, pp. 171–176, 2001. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. C. Yuan, D. Jiang, D. O’Regan, and R. P. Agarwal, “Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions,” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2012, no. 13, pp. 1–17, 2012. View at Google Scholar · View at MathSciNet
  10. Z. Yang, “Positive solutions to a system of second-order nonlocal boundary value problems,” Nonlinear Analysis: Theory, Methods & Applications, vol. 62, no. 7, pp. 1251–1265, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. D. Xie, C. Bai, Y. Liu, and C. Wang, “Positive solutions for nonlinear semipositone nth-order boundary value problem,” Electronic Journal of Qualitative Theory of Differential Equations, vol. 2008, no. 7, pp. 1–12, 2008. View at Google Scholar · View at MathSciNet
  12. D. J. Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, vol. 5, Academic Press, San Diego, Calif, USA, 1988. View at MathSciNet