On the best Ulam constant of a higher order linear difference equation

Agarwal, 2003, Stability of functional equations in single variable, J. Math. Anal. Appl., 288, 852, 10.1016/j.jmaa.2003.09.032 Anderson, 2019, Best Constant for Hyers-Ulam stability of a second order h-Difference equation with constant coefficients, Results Math., 74, 151, 10.1007/s00025-019-1077-9 Baias, 2019, Best Ulam constant for a linear difference equation, Carpath. J. Math., 35, 13, 10.37193/CJM.2019.01.02 Baias, 2020, On Ulam stability of a linear difference equation in Banach spaces, Bull. Malays. Math. Sci. Soc., 43, 1357, 10.1007/s40840-019-00744-6 Baias, 2020, On the best Ulam constant of the second order linear differential operator, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., 114 Baias, 2020, On Ulam stability of a third order linear difference equation in Banach spaces, Aequ. Math., 10.1007/s00010-020-00722-5 Barbu, 2015, Hyers-Ulam stability and discrete dichotomy, J. Math. Anal. Appl., 423, 1738, 10.1016/j.jmaa.2014.10.082 Brillouët-Belluot, 2012, On some recent developments in Ulam's type stability, Abstr. Appl. Anal., 10.1155/2012/716936 Brzdek, 2010, Note on stability of a linear functional equation of second order connected with the Fibonacci numbers and Lucas sequences, J. Inequal. Appl., 2010, 10.1155/2010/793947 Brzdek, 2018 Brzdek, 2010, Remarks on stability of linear recurrence of higher order, Appl. Math. Lett., 23, 1459, 10.1016/j.aml.2010.08.010 Brzdek, 2011, A note on stability of an operator linear equation of the second order, Abstr. Appl. Anal., 10.1155/2011/602713 Buşe, 2016, Hyers-Ulam stability and discrete dichotomy for difference periodic systems, Bull. Sci. Math., 140, 908, 10.1016/j.bulsci.2016.03.010 Cull, 2005 Dilworth, 2002, Extremal approximately convex functions and the best constants in a theorem of Hyers and Ulam, Adv. Math., 172, 1, 10.1006/aima.2001.2058 Elaydi, 2005 Fabian, 2001 Gil, 2007, Difference Equations in Normed Spaces. Stability and Oscillations Hatori, 2004, On the best constant of Hyers-Ulam stability, Nonlinear Convex Anal., 5, 387 Hyers, 1941, On the stability of the linear functional equation, Proc. Natl. Acad. Sci. USA, 27, 222, 10.1073/pnas.27.4.222 Hyers, 1998, Stability of Functional Equations in Several Variables, 10.1007/978-1-4612-1790-9 Jung, 2009, Functional equation f(x)=pf(x−1)−qf(x−2) and its Hyers-Ulam stability, J. Inequal. Appl., 2009, 10.1155/2009/181678 Jung, 2014, A linear functional equation of third order associated to the Fibonacci numbers, Abstr. Appl. Anal., 10.1155/2014/137468 Kadison, 1983 Onitsuka, 2017, Influence of the stepsize on Hyers-Ulam stability of first-order homogeneous linear difference equations, Int. J. Difference Equ., 12, 281 Onitsuka, 2018, Hyers Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize, Appl. Math. Comput., 330, 143, 10.1016/j.amc.2018.02.036 Palmer, 2000 Popa, 2005, Hyers-Ulam-Rassias stability of a linear recurrence, J. Math. Anal. Appl., 309, 591, 10.1016/j.jmaa.2004.10.013 Popa, 2005, Hyers-Ulam stability of the linear recurrence with constant coefficients, Adv. Differ. Equ., 2, 101 Popa, 2016, Best constant in stability of some positive linear operators, Aequ. Math., 90, 719, 10.1007/s00010-016-0405-3 Popa, 2014, On the best constant in Hyers-Ulam stability of some positive linear operators, J. Math. Anal. Appl., 412, 103, 10.1016/j.jmaa.2013.10.039 Rassias, 1992, What is left of Hyers-Ulam stability?, J. Nat. Geom., 1, 65