Abstract
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) |
|---|---|
| Pages (from-to) | 53-63 |
| Number of pages | 11 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 20 |
| Issue number | 1 |
| State | Published - 2013 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics