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Extremal solutions for difference equations with the Minkowski mean curvature operator

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DOŠLÁ Zuzana MARINI Mauro MATUCCI Serena

Rok publikování 2026
Druh Recenzovaný odborný článek
Časopis / Zdroj JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://www.tandfonline.com/doi/full/10.1080/10236198.2026.2637719
Doi https://doi.org/10.1080/10236198.2026.2637719
Klíčová slova Generalized mean curvature operator; positive solution; unbounded solution; decaying solution
Popis This paper deals with asymptotic problems involving second-order difference equation with the generalized Minkowski mean curvature operator. Using some inequalities for this operator and an abstract fixed point theorem the existence of extremal solutions is proved, that is solutions which are unbounded together with their quasi-difference and solutions which are vanishing at infinity together with their quasi-difference.

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