On Some Solvable Difference Equations and Systems of Difference Equations

By S. Stević, Josef Diblík, Bratislav Iricanin, Zdenek Smarda. 2012

96 citations recorded by the source corpus.

Here, we give explicit formulae for solutions of some systems of difference equations, which extend some very particular recent results in the literature and give natural explanations for them, which were omitted in the previous literature.

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/f250ff3580d1a047b5518cc5d8ef0758967cc282

Citations in the corpus

• Representation of solutions of bilinear difference equations in terms of generalized Fibonacci sequences (2014, unknown): “2010 Mathematics Subject Classification: 39A10, 39A20.”
• Note on the bilinear difference equation with a delay (2018, unknown): “Combining (16) and (18), after some calculation and use of (17), we obtain zn = (αz0 + β)sn + z0(βγ − αδ)sn−1 (γz0 − α)sn + sn+1 , n ∈ N0.”