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Displaying 21 – 26 of 26

Continuous dependence and differentiation of solutions of finite difference equations.

Henderson, Johnny, Lee, Linda (1991)

International Journal of Mathematics and Mathematical Sciences

Continuous dependence on parameters for second order discrete BVP’s

Marek Galewski, Szymon Głąb (2012)

Open Mathematics

Using Fan’s Min-Max Theorem we investigate existence of solutions and their dependence on parameters for some second order discrete boundary value problem. The approach is based on variational methods and solutions are obtained as saddle points to the relevant Euler action functional.

Convergence and periodicity of solutions for a class of difference systems.

Bin, Honghua, Huang, Lihong, Zhang, Guang (2006)

Advances in Difference Equations [electronic only]

Convergence of nonautonomous evolutionary algorithm.

Radwański, Marcin (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Criteria for an exponential dichotomy of difference equations

Garyfalos Papaschinopoulos, John Schinas (1985)

Czechoslovak Mathematical Journal

Criterion of $p$ -criticality for one term $2 n$ -order difference operators

Petr Hasil (2011)

Archivum Mathematicum

We investigate the criticality of the one term $2 n$ -order difference operators $l {(y)}_{k} = Δ^{n} (r_{k} Δ^{n} y_{k})$ . We explicitly determine the recessive and the dominant system of solutions of the equation $l {(y)}_{k} = 0$ . Using their structure we prove a criticality criterion.