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Positive Solutions for a Class of Fourth‐Order Boundary Value Problems in Banach Spaces

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  • Jingjing Cai
  • Guilong Liu

Abstract

Using a specially constructed cone and the fixed point index theory, this work shows existence and nonexistence results of positive solutions for fourth‐order boundary value problem with two different parameters in Banach spaces.

Suggested Citation

  • Jingjing Cai & Guilong Liu, 2011. "Positive Solutions for a Class of Fourth‐Order Boundary Value Problems in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:831730
    DOI: 10.1155/2011/831730
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    References listed on IDEAS

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    1. C. De Coster & C. Fabry & F. Munyamarere, 1994. "Nonresonance conditions for fourth order nonlinear boundary value problems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-16, January.
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    Cited by:

    1. Guoqing Chai, 2011. "Positive Solution of Fourth‐Order Integral Boundary Value Problem with Two Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).

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