Abstract
We study the discrete fourth order periodic boundary value problem with a parameter <4u(t 2) < p(t 1)<u(t 1) + q(t)u(t) = f(t, u(t)), t [1,N]Z, iu(1) = <iu(N 1), i = 0, 1, 2, 3. By using variational methods and the mountain pass lemma, sufficient conditions are found under which the above problem has at least two nontrivial solutions. One example is included to illustrate the result.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 487-496 |
| Number of pages | 10 |
| Journal | Communications in Applied Analysis |
| Volume | 19 |
| State | Published - 2015 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics