Oscillation of solutions to non-linear difference equations with several advanced arguments | Zendy

Sandra Pinelas | Zendy; Julio G. Dix | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Oscillation of solutions to non-linear difference equations with several advanced arguments

Author(s) -

Sandra Pinelas,

Julio G. Dix

Publication year - 2017

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2017.37.6.887

Subject(s) - mathematics , infinity , oscillation (cell signaling) , bounded function , zero (linguistics) , work (physics) , mathematical analysis , thermodynamics , physics , biology , genetics , linguistics , philosophy

This work concerns the oscillation and asymptotic properties of solutions to the non-linear difference equation with advanced arguments \[x_{n+1}- x_n =\sum_{i=1}^m f_{i,n}( x_{n+h_{i,n}}).\] We establish sufficient conditions for the existence of positive, and negative solutions. Then we obtain conditions for solutions to be bounded, convergent to positive infinity and to negative infinity and to zero. Also we obtain conditions for all solutions to be oscillatory

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research