Rocky Mountain Journal of Mathematics

Right and left disconjugacy in difference equations

Darrel Hankerson

Full-text: Open access

Article information

Source
Rocky Mountain J. Math., Volume 20, Number 4 (1990), 987-995.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1181073056

Digital Object Identifier
doi:10.1216/rmjm/1181073056

Mathematical Reviews number (MathSciNet)
MR1096565

Zentralblatt MATH identifier
0727.39001

Citation

Hankerson, Darrel. Right and left disconjugacy in difference equations. Rocky Mountain J. Math. 20 (1990), no. 4, 987--995. doi:10.1216/rmjm/1181073056. https://projecteuclid.org/euclid.rmjm/1181073056


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References

  • D. Hankerson and A. Peterson, A classification of the solutions of a difference equation according to their behavior at infinity, J. Math. Anal. Appl. 136 (1988), 249-266.
  • P. Hartman, Difference equations: disconjugacy, principal solutions, Green's functions, complete monotonicity, Trans. Amer. Math. Soc. 246 (1978), 1-30.
  • A. Peterson, Boundary value problems and Green's functions for linear difference equations, in J. L. Henderson, editor, Differential and integral equations, Proceedings of the Twelfth and Thirteenth Midwest Conferences, 1985, 79-100.
  • --------, Boundary value problems for an $n$-th order difference equation, SIAM J. Math. Anal. 15 (1984), 124-132.
  • --------, Existence and uniqueness theorems for nonlinear difference equations, J. Math. Anal. Appl. 125 (1987), 185-191.
  • --------, Green's functions for $(k,n-k)$-boundary value problems for linear difference equations, J. Math. Anal. Appl. 124 (1987), 127-138.
  • A. Peterson, On $(k,n-k)$-disconjugacy for linear difference equations, in W. Allegretto and G. J. Butler, editors, Qualitative properties of differential equations, Proceedings of the 1984 Edmonton Conference, 1986, 329-337. \noindent A\sixpoint LGEBRA, \eightpoint C\sixpoint OMBINATORICS AND