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Positive solutions for a system of nonpositive difference equations

โœ Scribed by J. Henderson; P.J.Y. Wong


Book ID
105740178
Publisher
Springer
Year
2001
Tongue
English
Weight
266 KB
Volume
62
Category
Article
ISSN
0001-9054

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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

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In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider analogues of sublinear or superlinear growth in the nonlinear terms.