id: 06619316
dt: j
an: 2016e.00838
au: Rivera-Figueroa, Antonio; Rivera-Rebolledo, JosÃ© Manuel
ti: A new method to solve the second-order linear difference equations with
constant coefficients.
so: Int. J. Math. Educ. Sci. Technol. 47, No. 4, 636-649 (2016).
py: 2016
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: I70
ut: linear difference equations; second-order linear difference equations;
general solution; method of variation of parameters
ci:
li: doi:10.1080/0020739X.2015.1091517
ab: Summary: In this paper, we give a new and straightforward method to solve
the non-homogeneous second-order linear difference equations with
constant coefficients. It is new because it does not require the
uniqueness theorem of the solution of the problem of initial values.
Neither does it require a fundamental system of solutions, nor the
method of variation of parameters. Moreover, we get a unique formula
that expresses the general solution independently of the multiplicities
of the roots of the characteristic equation.
rv: