Details

Autor(en) / Beteiligte

• El-Morshedy, H.A.
• Gopalsamy, K.

Titel

Oscillation and asymptotic behaviour of a class of higher-order non-linear difference equations

Ist Teil von

• Annali di matematica pura ed applicata, 2003-05, Vol.182 (2), p.143-159

Ort / Verlag

Heidelberg: Springer Nature B.V

Erscheinungsjahr

2003

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The dynamical characteristics of scalar difference equations of the form¶xn+1=f1(xn−τ1)+f2(xn−τ2), n=0,1,2,...,¶are investigated. A necessary and sufficient condition is obtained for all positive solutions to be oscillatory about a unique positive equilibrium point and sufficient criteria for the global attractivity of the equilibrium are established. Also, the stability and periodicity of more general equations are studied via comparison with the corresponding properties of an associated first-order non-linear equation.