Title of article :
Summation inequalities and half-linear difference
equations
Author/Authors :
Mariella Cecchi، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
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
Journal title :
Journal of Mathematical Analysis and Applications