Title of article
Summation inequalities and half-linear difference equations
Author/Authors
Mariella Cecchi، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2005
Pages
13
From page
1
To page
13
Abstract
The aim of this paper is to present new summation inequalities and to show that the half-linear
difference equation
Δ
an|Δxn|α sgnΔxn
= bn|xn+1|α sgn xn+1
exhibits not only similarities but also some discrepancies with the linear case, especially as regards
the possible coexistence of the so-called extremal solutions. Some of our results are new also for the
linear difference equation.
2004 Elsevier Inc. All rights reserved.
Keywords
Nonoscillatory solutions , Generalized Riccati difference equation , Half-linear second order difference equation , Summation inequalities , Extremal solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2005
Journal title
Journal of Mathematical Analysis and Applications
Record number
933640
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