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Unbounded Solutions for Functional Problems on the Half‐Line

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  • Hugo Carrasco
  • Feliz Minhós

Abstract

This paper presents an existence and localization result of unbounded solutions for a second‐order differential equation on the half‐line with functional boundary conditions. By applying unbounded upper and lower solutions, Green’s functions, and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden‐Fowler equation are shown to illustrate our results.

Suggested Citation

  • Hugo Carrasco & Feliz Minhós, 2016. "Unbounded Solutions for Functional Problems on the Half‐Line," Abstract and Applied Analysis, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:8987374
    DOI: 10.1155/2016/8987374
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    References listed on IDEAS

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    1. Ravi P. Agarwal & Donal O’Regan, 2001. "Infinite Interval Problems for Differential, Difference and Integral Equations," Springer Books, Springer, number 978-94-010-0718-4, March.
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