## Rocky Mountain Journal of Mathematics

### The Cauchy Function for $n$th Order Linear Difference Equations

#### Article information

Source
Rocky Mountain J. Math., Volume 25, Number 1 (1995), 441-457.

Dates
First available in Project Euclid: 5 June 2007

https://projecteuclid.org/euclid.rmjm/1181072294

Digital Object Identifier
doi:10.1216/rmjm/1181072294

Mathematical Reviews number (MathSciNet)
MR1340019

Zentralblatt MATH identifier
0836.39001

#### Citation

Peterson, Allan; Schneider, John. The Cauchy Function for $n$th Order Linear Difference Equations. Rocky Mountain J. Math. 25 (1995), no. 1, 441--457. doi:10.1216/rmjm/1181072294. https://projecteuclid.org/euclid.rmjm/1181072294

#### References

• R. Agarwal, Difference equations and inequalities: theory, methods and applications, Marcel Dekker, New York, 1992.
• P. Hartman, Difference equations: disconjugacy, principal solutions, Green's functions, complete monotonicity, Trans. Amer. Math. Soc. 246 (1978), 1-30.
• W. Kelley and A. Peterson, Difference equations: An introduction with applications, Academic Press, New York, 1991.
• V. Lakshmikanthan and D. Trigiante, Theory of difference equations: Numerical methods and applications, Academic Press, Boston, 1987.
• K. Miller, Linear difference equations, Benjamin, New York, 1968.