On third-order linear difference equations involving quasi-differences
نویسندگان
چکیده
منابع مشابه
On Third-order Linear Difference Equations Involving Quasi-differences
had been investigated. As it is noted here, these equations are not adjoint equations and are referred to as quasi-adjoint equations. Equation (E) is a special case of linear nth-order difference equations with quasi-differences. Such equations have been widely studied in the literature, see, for example, [6, 11] and the references therein. The natural question which arises is to find the adjoi...
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The aim of this paper is to study asymptotic properties of the third-order quasi-linear neutral functional differential equation (E) [ a(t) ( [x(t) + p(t)x(δ(t))]′′ )α]′ + q(t)x(τ(t)) = 0 , where α > 0, 0 ≤ p(t) ≤ p0 <∞ and δ(t) ≤ t. By using Riccati transformation, we establish some sufficient conditions which ensure that every solution of (E) is either oscillatory or converges to zero. These ...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2006
ISSN: 1687-1839,1687-1847
DOI: 10.1155/ade/2006/65652