Positive solutions for a system of generalized Lidstone problems



In this paper, we study the existence and multiplicity of positive solutions for the system of the generalized Lidstone problems 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.


Generalized Lidstone problem Positive solution Cone Fixed point index Concave function 

Mathematics Subject Classification (2000)

34B18 45G15 45M20 47H07 47H11 


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Copyright information

© Korean Society for Computational and Applied Mathematics 2010

Authors and Affiliations

  1. 1.Department of MathematicsQingdao Technological UniversityQingdaoP.R. China

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