Gheorghe Morosanu, Figen Ozpinar
Let be a real Hilbert space and let be a (possibly set-valued) maximal monotone operator. We investigate the existence of asymptotically periodic solutions to the differential equation (inclusion) , , where is a -periodic function ( ) and . Consider also the following difference inclusion (which is a discrete analogue of the above inclusion): , where , are -periodic sequences for a positive integer and . We investigate the weak or strong convergence of its solutions to -periodic sequences. We show that the previous results due to Baillon, Haraux (1977) and Djafari Rouhani, Khatibzadeh (2012) corresponding to , respectively , , remain valid for , respectively .
Submitted October 18, 2012. Published January 8, 2013.
Math Subject Classifications: 39A10, 39A11, 47H05, 34G25.
Key Words: Differential inclusion; difference inclusion; subdifferential; maximal monotone operator; weak convergence; strong convergence.
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| Gheorghe Morosanu |
Department of Mathematics and its Applications
Central European University
| Figen Ozpinar |
Bolvadin Vocational School
Afyon Kocatepe University
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