Geodesic
Existence criteria for positive solutions of a nonlinear difference inequality
Annales Polonici Mathematici, Tome 73 (2000) no. 3, pp. 197-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper is concerned with a class of nonlinear difference inequalities which include many different classes of difference inequalities and equations as special cases. By means of a Riccati type transformation, necessary and sufficient conditions for the existence of eventually positive solutions and positive nonincreasing solutions are obtained. Various type of comparison theorems are also derived as applications, which extends many theorems in the literature.
DOI : 10.4064/ap-73-3-197-220
Keywords: Sturm type comparison theorem, limit comparison theorem, nth order linear difference equation, eventually positive solution, eventually positive nonincreasing solution, neutral difference equation, nonlinear delay difference inequality

Sui Cheng 1 ; Guang Zhang 1

1 
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Sui Cheng; Guang Zhang. Existence criteria for positive solutions of a nonlinear difference inequality. Annales Polonici Mathematici, Tome 73 (2000) no. 3, pp. 197-220. doi: 10.4064/ap-73-3-197-220

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