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Keywords:
anti-periodic solution; maximal monotone operator; Yosida approximation
anti-periodic solution; maximal monotone operator; Yosida approximation
Summary:
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.
References:
[1] Aftabizadeh, A., Pavel, N.: Nonlinear boundary value problems for some ordinary and partial differential equations associated with monotone operators. J. Math. Anal. Appl. 156 (1991), 535-557. DOI 10.1016/0022-247X(91)90413-T | MR 1103028 | Zbl 0734.34060
[2] Aftabizadeh, A., Aizicovici, S., Pavel, N.: On a class of second order anti-periodic boundary value problems. J. Math. Anal. Appl. 171 (1992), 301-320. DOI 10.1016/0022-247X(92)90345-E | MR 1194081 | Zbl 0767.34047
[3] Agarwal, R., O'Regan, D., Lakshmikantham, V.: Discrete second order inclusions. J. Difference Equ. Appl. 9 (2003), 879-885. DOI 10.1080/1023619031000097044 | MR 1996340 | Zbl 1047.39013
[4] Aizicovici, S., Pavel, N.: Anti-periodic solutions to a class of nonlinear differential equations in Hilbert spaces. J. Funct. Anal. 99 (1991), 387-408. DOI 10.1016/0022-1236(91)90046-8 | MR 1121619
[5] Aizicovici, S., Reich, S.: Anti-periodic solutions to difference inclusions in Banach spaces. Dyn. Syst. Appl. 1 (1992), 121-130. MR 1171125 | Zbl 0756.39001
[6] Apreutesei, G., Apreutesei, N.: Continuous dependence on data for bilocal difference equations. J. Difference Equ. Appl. 15 (2009), 511-527. DOI 10.1080/10236190802192975 | MR 2523089 | Zbl 1176.39003
[7] Apreutesei, N.: On a class of difference equations of monotone type. J. Math. Anal. Appl. 288 (2003), 833-851. DOI 10.1016/j.jmaa.2003.09.017 | MR 2020200 | Zbl 1040.39002
[8] Apreutesei, N.: Nonlinear Second Order Evolution Equations of Monotone Type and Applications. Pushpa Publishing House, India (2007). MR 2419289 | Zbl 1152.34001
[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. MR 0331133 | Zbl 0256.47052
[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. MR 2514767
[11] Stehlík, P., Tisdell, C. C.: On boundary value problems for second-order discrete inclusions. Bound. Value Probl. 2005 (2005), 153-164. MR 2198748 | Zbl 1146.39031
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