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Existence and Multiplicity of Solutions of Second-Order Difference Boundary Value Problems

✍ 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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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 ÿnite di erence approximation to y = f(x; y; y ), x ∈ [0; 1], (0; 0) = G((y(0); y(1)