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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… Click to show full abstract
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.
Keywords:
non linear;
advanced arguments;
linear difference;
solutions non;
oscillation solutions
Journal Title: Opuscula Mathematica
Year Published: 2017
Link to full text (if available)
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Journal Title: Opuscula Mathematica
Year Published: 2017
Link to full text (if available)
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recommendations!