Second order difference inclusions of monotone type

G. Apreutesei; N. Apreutesei

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 2, page 123-130
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Apreutesei, G., and Apreutesei, N.. "Second order difference inclusions of monotone type." Mathematica Bohemica 137.2 (2012): 123-130. <http://eudml.org/doc/246792>.

@article{Apreutesei2012,
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.},
author = {Apreutesei, G., Apreutesei, N.},
journal = {Mathematica Bohemica},
keywords = {anti-periodic solution; maximal monotone operator; Yosida approximation; anti-periodic solution; maximal monotone operator; second-order difference inclusion; Hilbert space},
language = {eng},
number = {2},
pages = {123-130},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Second order difference inclusions of monotone type},
url = {http://eudml.org/doc/246792},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Apreutesei, G.
AU - Apreutesei, N.
TI - Second order difference inclusions of monotone type
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 123
EP - 130
AB - 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.
LA - eng
KW - anti-periodic solution; maximal monotone operator; Yosida approximation; anti-periodic solution; maximal monotone operator; second-order difference inclusion; Hilbert space
UR - http://eudml.org/doc/246792
ER -

References

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  6. Apreutesei, G., Apreutesei, N., 10.1080/10236190802192975, J. Difference Equ. Appl. 15 (2009), 511-527. (2009) Zbl1176.39003MR2523089DOI10.1080/10236190802192975
  7. Apreutesei, N., 10.1016/j.jmaa.2003.09.017, J. Math. Anal. Appl. 288 (2003), 833-851. (2003) Zbl1040.39002MR2020200DOI10.1016/j.jmaa.2003.09.017
  8. Apreutesei, N., Nonlinear Second Order Evolution Equations of Monotone Type and Applications, Pushpa Publishing House, India (2007). (2007) Zbl1152.34001MR2419289
  9. Barbu, V., A class of boundary problems for second order abstract differential equations, J. Fac. Sci. Univ. Tokyo, Sect. I A 19 (1972), 295-319. (1972) Zbl0256.47052MR0331133
  10. Rouhani, B. Djafari, Khatibzadeh, H., Asymptotic behavior of bounded solutions to a class of second order nonhomogeneous evolution equations, Nonlinear Anal., Theory Methods Appl. 70 (2009), 4369-4376. (2009) MR2514767
  11. Stehlík, P., Tisdell, C. C., On boundary value problems for second-order discrete inclusions, Bound. Value Probl. 2005 (2005), 153-164. (2005) Zbl1146.39031MR2198748

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