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Positive solutions for singular discrete boundary value problems

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  • Mariella Cecchi
  • Zuzana Došlá
  • Mauro Marini

Abstract

We study the existence of zero-convergent solutions for the second-order nonlinear difference equation Δ ( a n Φ p ( Δ x n ) ) = g ( n , x n + 1 ) , where Φ p ( u ) = | u | p − 2 u , p > 1 , { a n } is a positive real sequence for n ≥ 1 , and g is a positive continuous function on ℕ × ( 0 , u 0 ) , 0 < u 0 ≤ ∞ . The effects of singular nonlinearities and of the forcing term are treated as well.

Suggested Citation

  • Mariella Cecchi & Zuzana Došlá & Mauro Marini, 2004. "Positive solutions for singular discrete boundary value problems," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-13, January.
    • Handle: RePEc:hin:jnlaaa:939317
    DOI: 10.1155/S1085337504306068
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