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Existence of positive solutions for nonpositive difference equations

โœ Scribed by R.P Agarwal; Fu-Hsiang Wong


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
688 KB
Volume
26
Category
Article
ISSN
0895-7177

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โœฆ Synopsis


we shall provide conditions on nonpositive function f(i, ~1,. . , u,_1) ~0 that t,he discrete boundary value problem

YA +'n(T + 1) + 6An-%(T + 1) = 0, has at least one positive solution. Then, we shall apply this result to establish several existence theorems which guarantee the multiple positive solutions.


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Existence of positive solution for nonli
โœ Ruyun Ma; Youji Xu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

Let T be an integer with T โ‰ฅ 5 and let T 2 = {2, 3, . . . , T }. We show the existence and multiplicity of positive solutions of the boundary value problem of nonlinear fourth-order difference equation