A numerical approach for a semilinear parabolic equation with a nonlocal boundary condition
✍ Scribed by Marián Slodička; Sofiane Dehilis
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 549 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
A nonlinear parabolic problem with a nonlocal boundary condition is studied. We prove the existence of a solution for a monotonically increasing and Lipschitz continuous nonlinearity. The approximation method is based on Rothe's method. The solution on each time step is obtained by iterations, conve
In this paper, we consider the system q 1 1 0 0 and bounded. We prove that if pq F 1 every nonnegative solution is global. When Ž . Ž . Ž . Ž . pq ) 1 we let ␣ s p q 2 r2 pq y 1 ,  s 2 q q 1 r2 pq y 1 . We show that if Ž . Ž . max ␣,  ) Nr2 or max ␣,  s Nr2 and p, q G 1, then all nontrivial nonne