Spectral properties of second-order, multi-point, -Laplacian boundary value problems
โ Scribed by Bryan P. Rynne
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 381 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t โ (0, 1), where n โฅ 2 and m โฅ 1 are integers, tj โ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .
We term the conditions (2) and (3), respectively, Neumann-type and Dirichlet-type boundary conditions, since they reduce to the standard Neumann and Dirichlet boundary conditions when ฮฑ ยฑ = 0. Given a suitable pair of boundary conditions, a number ฮป is an eigenvalue of the corresponding boundary val