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Journal of Difference Equations and Applications Volume 20, 2014 - Issue 7
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Articles

On a second-order nonlinear discrete multi-point eigenvalue problem

Johnny HendersonDepartment of Mathematics, Baylor University, Waco, TX76798-7328, USAView further author information
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Rodica LucaDepartment of Mathematics, Gh. Asachi Technical University, Iasi700506, RomaniaCorrespondence[email protected]
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Pages 1005-1018 | Received 01 Nov 2013, Accepted 16 Dec 2013, Published online: 24 Apr 2014

References

  • D.Guo and V.Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, New York, 1988.
  • J.Henderson and R.Luca, Positive solutions for a system of second-order multi-point discrete boundary value problems, J. Differ. Equ. Appl.18 (2012), pp. 1575–1592.
  • J.Henderson and R.Luca, On a multi-point discrete boundary value problem, J. Differ. Equ. Appl.19 (2013), pp. 690–699.
  • J.Henderson and R.Luca, Existence and multiplicity for positive solutions of a second-order multi-point discrete boundary value problem, J. Differ. Equ. Appl.19 (2013), pp. 418–438.
  • J.Henderson and R.Luca, Existence of positive solutions for a system of second-order multi-point discrete boundary value problems, J. Differ. Equ. Appl.19 (2013), pp. 1889–1906.
  • J.Henderson, S.K.Ntouyas, and I.K.Purnaras, Positive solutions for systems of three-point nonlinear discrete boundary value problems, Neural Parallel Sci. Comput.16 (2008), pp. 209–224.
  • J.Henderson, S.K.Ntouyas, and I.K.Purnaras, Positive solutions for systems of nonlinear discrete boundary value problems, J. Differ. Equ. Appl.15 (2009), pp. 895–912.
  • R.Luca, Positive solutions for m+1-point discrete boundary value problems, Libertas Math.XXIX (2009), pp. 65–82.
  • R.Luca, Existence of positive solutions for a second-order m+1 point discrete boundary value problem, J. Differ. Equ. Appl.18 (2012), pp. 865–877.

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