Applied Mathematics E-Notes [electronic only] · 2004 · 12 citations · 4 references
Asymptotic BehaviorNonlinear Neutral TermsExistence CriterionSufficient ConditionsAc LassOscillation TheoryNonlinear EquationBifurcation TheoryNonlinear OscillationNonlinear Functional Analysis
In this paper, we derive sufficient conditions for the oscillation of all / bounded solutions of ac lass of second order nonlinear difference equations with a nonlin- ear neutral term. Existence criterion is also derived for the eventually positive and asymptotically stable solution of this equation. Examples are provided to illustrate the results.
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