Monotone-Iterative Method for Solving Antiperiodic Nonlinear Boundary Value Problems for Generalized Delay Difference Equations with Maxima

Table 1

Values of the successive lower/upper approximations 𝛼_𝑛(𝑘) and 𝛽_𝑛(𝑘), 𝑛=0,1,2,3,4,5,6,7,8.

𝑘	0	3	4	5	⋯	9	10
𝛽0(𝑘)	0.300000	0.300000	0.300000	0.300000	⋯	0.300000	0.300000
𝛽1(𝑘)	0.107373	0.102318	0.097378	0.092799	⋯	0.079779	0.077504
𝛽2(𝑘)	−0.161693	−0.140751	−0.121361	−0.104382	⋯	−0.054887	−0.045805
𝛽3(𝑘)	−0.350522	−0.313072	−0.277815	−0.246387	⋯	−0.150852	−0.132489
𝛽4(𝑘)	−0.450828	−0.404758	−0.361295	−0.322444	⋯	−0.203309	−0.180134
𝛽5(𝑘)	−0.495330	−0.445438	−0.398367	−0.356278	⋯	−0.226976	−0.201742
𝛽6(𝑘)	−0.513731	−0.462242	−0.413672	−0.370244	⋯	−0.236787	−0.210719
𝛽7(𝑘)	−0.521346	−0.469185	−0.419987	−0.376000	⋯	−0.240816	−0.214404
𝛽8(𝑘)	−0.524570	−0.472122	−0.422654	−0.378427	⋯	−0.242506	−0.215947
𝑢(𝑘)	−0.526	−0.474	−0.424	−0.380	⋯	−0.244	−0.217
𝛼8(𝑘)	−0.529472	−0.476579	−0.426694	−0.382097	⋯	−0.245037	−0.218253
𝛼7(𝑘)	−0.532445	−0.479278	−0.429136	−0.384311	⋯	−0.246548	−0.219624
𝛼6(𝑘)	−0.538843	−0.485075	−0.434371	−0.389046	⋯	−0.249751	−0.222525
𝛼5(𝑘)	−0.551920	−0.496893	−0.445013	−0.398643	⋯	−0.256153	−0.228299
𝛼4(𝑘)	−0.576447	−0.518984	−0.464830	−0.416445	⋯	−0.267835	−0.238790
𝛼3(𝑘)	−0.617154	−0.555535	−0.497512	−0.445709	⋯	−0.286810	−0.255788
𝛼2(𝑘)	−0.677874	−0.610052	−0.546283	−0.489435	⋯	−0.315694	−0.281933
𝛼1(𝑘)	−0.783286	−0.704773	−0.631632	−0.567151	⋯	−0.376223	−0.340584
𝛼0(𝑘)	−1.000000	−1.000000	−1.000000	−1.000000	⋯	−1.000000	−1.000000