TY - JOUR
T1 - On a discrete fourth order periodic boundary value problem
AU - Graef, John R.
AU - Kong, Lingju
AU - Tian, Y. U.
AU - Wang, Min
PY - 2013/8/1
Y1 - 2013/8/1
N2 - The authors study the discrete fourth order periodic boundary value problem (Lu)(t) = λf(t,u(t)) + μg(t,u(t)), t∈[1,N]z, Δiu(-1) = Δiu(N - 1), 1 = 0, 1, 2, 3, where (Lu)(t) = Δ4u(t - 2) - Δ(p(t - 1)Δu(t - 1)) + q(t)u(t). By using variational methods and critical point theory, they obtain some criteria for the existence of infinitely many solutions. Several consequences of the main theorems are also presented. One example is included to illustrate the applicability of the results.
AB - The authors study the discrete fourth order periodic boundary value problem (Lu)(t) = λf(t,u(t)) + μg(t,u(t)), t∈[1,N]z, Δiu(-1) = Δiu(N - 1), 1 = 0, 1, 2, 3, where (Lu)(t) = Δ4u(t - 2) - Δ(p(t - 1)Δu(t - 1)) + q(t)u(t). By using variational methods and critical point theory, they obtain some criteria for the existence of infinitely many solutions. Several consequences of the main theorems are also presented. One example is included to illustrate the applicability of the results.
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M3 - Article
AN - SCOPUS:84885821422
VL - 55
SP - 163
EP - 184
JO - Indian Journal of Mathematics
JF - Indian Journal of Mathematics
SN - 0019-5324
IS - 2
ER -