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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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