Existence theorems for second-order discrete boundary value problems
โ Scribed by Xiaochun Cai; Jianshe Yu
- Book ID
- 108175317
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 131 KB
- Volume
- 320
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
we give conditions on f involving pairs of discrete lower and discrete upper solutions which lead to the existence of at least three solutions of the discrete two-point boundary value problem y/k+l -2yk + y/k-l + f(k, yk,uk) = 0, for k = 1,. ,n -I, yo = 0 = y,, where f is continuous and 01, = gk -yk
In this paper we consider a nonlinear two-point boundary value problem for second order differential inclusions. Using the Leray Schauder principle and its multivalued analog due to Dugundji Granas, we prove existence theorems for convex and nonconvex problems. Our results are quite general and inco
Existence results for the second-order three-point boundary value problem ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . xะ s f t, x, xะ , x 0 s A, x y x 1 s y 1 B, 0 --1, are presented. Our analysis is based on a Nonlinear Alternative of Leray-Schauder.