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.
|Original language||English (US)|
|Number of pages||22|
|Journal||Indian Journal of Mathematics|
|State||Published - Aug 1 2013|
All Science Journal Classification (ASJC) codes