Journal of Applied Mathematics and Computing

, Volume 37, Issue 1, pp 13–35

Positive solutions for a system of generalized Lidstone problems

Authors

    • Department of MathematicsQingdao Technological University
  • Zhilin Yang
    • Department of MathematicsQingdao Technological University
Article

DOI: 10.1007/s12190-010-0418-3

Cite this article as:
Xu, J. & Yang, Z. J. Appl. Math. Comput. (2011) 37: 13. doi:10.1007/s12190-010-0418-3

Abstract

In this paper, we study the existence and multiplicity of positive solutions for the system of the generalized Lidstone problems
https://static-content.springer.com/image/art%3A10.1007%2Fs12190-010-0418-3/MediaObjects/12190_2010_418_Equa_HTML.gif
We use fixed point index theory to establish our main results based on a priori estimates achieved by utilizing some properties of concave functions, so that the nonlinearities f and g are allowed to grow in distinct manners, with one of them growing superlinearly and the other growing sublinearly.

Keywords

Generalized Lidstone problemPositive solutionConeFixed point indexConcave function

Mathematics Subject Classification (2000)

34B1845G1545M2047H0747H11

Copyright information

© Korean Society for Computational and Applied Mathematics 2010