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Positive solutions for a system of generalized Lidstone problems

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Qingdao Technological University, No 11 Fushun Road, Qingdao, Shandong Province, P.R. China

    Jiafa Xu & Zhilin Yang

Authors
  1. Jiafa Xu
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  2. Zhilin Yang
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Correspondence to Jiafa Xu.

Additional information

Supported by the NNSF of China (Grants 10871116 and 10971179) and the NSF of Shandong Province of China (Grant ZR2009AL014).

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Xu, J., Yang, Z. Positive solutions for a system of generalized Lidstone problems. J. Appl. Math. Comput. 37, 13–35 (2011). https://doi.org/10.1007/s12190-010-0418-3

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  • DOI: https://doi.org/10.1007/s12190-010-0418-3

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