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@article{1069114, author = {Cecchi, Mariella and Došlá, Zuzana and Marini, Mauro}, article_number = {5}, doi = {http://dx.doi.org/10.1080/10236198.2010.515589}, keywords = {Second-order nonlinear difference equation; generalized phi-Laplacian; regular solution; extremal solution; asymptotic behaviour}, language = {eng}, issn = {1023-6198}, journal = {J. Difference Equ. Appl.}, title = {Regular and extremal solutions for difference equations with generalized phi-Laplacian}, url = {http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.515589}, volume = {18}, year = {2012} }
TY - JOUR ID - 1069114 AU - Cecchi, Mariella - Došlá, Zuzana - Marini, Mauro PY - 2012 TI - Regular and extremal solutions for difference equations with generalized phi-Laplacian JF - J. Difference Equ. Appl. VL - 18 IS - 5 SP - 815-831 EP - 815-831 SN - 10236198 KW - Second-order nonlinear difference equation KW - generalized phi-Laplacian KW - regular solution KW - extremal solution KW - asymptotic behaviour UR - http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.515589 N2 - Non-oscillatory solutions for second-order difference equations with generalized phi-Laplacian are studied. Solutions are classified according to the asymptotic behaviour as regular or extremal solutions. Their existence and possible coexistence are investigated as well. In particular, the existence of infinitely many extremal solutions for equations with the discrete mean curvature operator is proved by means of an iterative method. This paper is completed by examples and some open problems. ER -
CECCHI, Mariella, Zuzana DOŠLÁ and Mauro MARINI. Regular and extremal solutions for difference equations with generalized phi-Laplacian. \textit{J. Difference Equ. Appl.}. 2012, vol.~18, No~5, p.~815-831. ISSN~1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2010.515589.
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