On recessive and dominant solutions for half-linear difference equations

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Authors	DOŠLÁ Zuzana CECCHI Mariella MARINI Mauro
Year of publication	2004
Type	Article in Periodical
Magazine / Source	J. Difference Equ. Appl.
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.tandf.co.uk/journals
Field	General mathematics
Keywords	recessive solution; dominant solution; half-linear second order difference equation; boundary value problems; Riccati difference equation
Description	Recessive and dominant solutions for the half-linear difference equation are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as "smallest solutions in a neighbourhood of infinity". The equivalency with other properties, namely with the Riccati property and the convergence or divergence of a suitable series, is also proved.
Related projects:	Qualitative theory of solutions of difference equations