On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument
© M. Cecchi et al. 2008
Received: 28 March 2008
Accepted: 27 May 2008
Published: 2 June 2008
The half-linear difference equations with the deviating argument , are considered. We study the role of the deviating argument , especially as regards the growth of the nonoscillatory solutions and the oscillation. Moreover, the problem of the existence of the intermediate solutions is completely resolved for the classical half-linear equation ( = 1). Some analogies or discrepancies on the growth of the nonoscillatory solutions for the delayed and advanced equations are presented; and the coexistence with different types of nonoscillatory solutions is studied.
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