Existence and Multiplicity of Solutions of Second-Order Difference Boundary Value Problems
β Scribed by Bo Zheng; Qinqin Zhang
- Book ID
- 106334946
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 526 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0167-8019
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π 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
We consider discrete two-point boundary value problems of the form D 2 y k+1 =f(kh; y k ; Dy k ), for k = 1; : : : ; n -1; (0; 0) = G((y0; yn); (Dy1; Dyn)), where Dy k = (y k -y k-1 )=h and h = 1=n. This arises as a ΓΏnite di erence approximation to y = f(x; y; y ), x β [0; 1], (0; 0) = G((y(0); y(1)