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Positive solutions of a Lidstone boundary value problem with variable coefficient function

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


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โœ J.M Davis ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 775 KB

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

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โœ P.K. Palamides ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 560 KB

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