Nonoscillatory half-linear difference equations and recessive solutions

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Authors	DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Adv. Difference Equ.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Half-linear difference equation; recessive solution; limit characterization;
Description	Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the smallest solutions in a neighborhood of infinity, like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.
Related projects:	Difference Equations and Dynamic Equations on Time Scales.