MATHEMATICA BOHEMICA, Vol. 137, No. 2, pp. 123-130, 2012

Second order difference inclusions of monotone type

G. Apreutesei, N. Apreutesei

G. Apreutesei, Faculty of Mathematics, Univ. "Al. I. Cuza", 11, Bd. Carol I, 700506, Iaşi, Romania, e-mail: gapreutesei@yahoo.com; N. Apreutesei, Department of Mathematics, Technical Univ. "Gh. Asachi", 11, Bd. Carol I, 700506, Iaşi, Romania, e-mail: napreut@gmail.com

Abstract: The existence of anti-periodic solutions is studied for a second order difference inclusion associated with a maximal monotone operator in Hilbert spaces. It is the discrete analogue of a well-studied class of differential equations.

Keywords: anti-periodic solution, maximal monotone operator, Yosida approximation

Classification (MSC 2010): 39A12, 34G25, 47H05


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