Positive solutions of a Lidstone boundary value problem with variable coefficient function
โ Scribed by Yun-Rui Yang; Sui Sun Cheng
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 257 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
solutions of the 2mth-order nonlinear differential equation ?P) = f (I, u,u', . . . , Py satisfying Lidstone boundary conditions are differentiated with respect to both boundary points and boundary values. The resulting functions are then shown to be solutions of the corresponding variational equati
where f E C ([0, 1] x R~,~+), R+ = [0, ~) associated to the Lidstone boundary conditions Existence of a solution of boundary value problems (BVP) (1),(2) such that x(2i)(t)>O, 0 0, 0<t<l, i=0,1 .... ,2n-1. We further prove analogous results for the case when -f E C([0, 1] x Rn\\_,R\\_), i.e., deriva