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@article{557874, author = {Došlá, Zuzana and Cecchi, Mariella and Marini, Mauro}, article_number = {9}, keywords = {recessive solution; dominant solution; half-linear second order difference equation; boundary value problems; Riccati difference equation}, language = {eng}, issn = {1023-6198}, journal = {J. Difference Equ. Appl.}, title = {On recessive and dominant solutions for half-linear difference equations}, url = {http://www.tandf.co.uk/journals}, volume = {10}, year = {2004} }
TY - JOUR ID - 557874 AU - Došlá, Zuzana - Cecchi, Mariella - Marini, Mauro PY - 2004 TI - On recessive and dominant solutions for half-linear difference equations JF - J. Difference Equ. Appl. VL - 10 IS - 9 SP - 797-808 EP - 797-808 SN - 10236198 KW - recessive solution KW - dominant solution KW - half-linear second order difference equation KW - boundary value problems KW - Riccati difference equation UR - http://www.tandf.co.uk/journals N2 - 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. ER -
DOŠLÁ, Zuzana, Mariella CECCHI a Mauro MARINI. On recessive and dominant solutions for half-linear difference equations. \textit{J. Difference Equ. Appl.}. 2004, roč.~10, č.~9, s.~797-808. ISSN~1023-6198.
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