The authors consider the fourth order periodic boundary value problem δ 4u(t-2)-δ(p(t-1)δu(t-1))+q(t)u(t)), t η [1,N]ℤ δiu(-1)=δiu(N-1), i=0,1,2,3, where N ≥ 1 is an integer, p η C([0,N]ℤ, ℝ), q η C([1,N]ℤ ℝ), and f η C([1,N]ℤ × ℝ, ℝ They obtain sufficient conditions for the existence of one and two solutions of the problem. The analysis is based mainly on the variational method and critical point theory.
|Original language||English (US)|
|Number of pages||11|
|Journal||Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis|
|State||Published - 2013|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics