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.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III