Regular and extremal solutions for difference equations with generalized phi-Laplacian

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Authors

CECCHI Mariella DOŠLÁ Zuzana MARINI Mauro

Year of publication 2012
Type Article in Periodical
Magazine / Source J. Difference Equ. Appl.
MU Faculty or unit

Faculty of Science

Citation
Web http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.515589
Doi http://dx.doi.org/10.1080/10236198.2010.515589
Field General mathematics
Keywords Second-order nonlinear difference equation; generalized phi-Laplacian; regular solution; extremal solution; asymptotic behaviour
Description 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.
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