| Title:
|
Second order difference inclusions of monotone type (English) |
| Author:
|
Apreutesei, G. |
| Author:
|
Apreutesei, N. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
123-130 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
anti-periodic solution |
| Keyword:
|
maximal monotone operator |
| Keyword:
|
Yosida approximation |
| MSC:
|
34A60 |
| MSC:
|
34G25 |
| MSC:
|
39A12 |
| MSC:
|
39A23 |
| MSC:
|
47H05 |
| idZBL:
|
Zbl 1265.39006 |
| idMR:
|
MR2978258 |
| DOI:
|
10.21136/MB.2012.142858 |
| . |
| Date available:
|
2012-06-08T10:05:31Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142858 |
| . |
| Reference:
|
[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. Zbl 0734.34060, MR 1103028, 10.1016/0022-247X(91)90413-T |
| Reference:
|
[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. Zbl 0767.34047, MR 1194081, 10.1016/0022-247X(92)90345-E |
| Reference:
|
[3] Agarwal, R., O'Regan, D., Lakshmikantham, V.: Discrete second order inclusions.J. Difference Equ. Appl. 9 (2003), 879-885. Zbl 1047.39013, MR 1996340, 10.1080/1023619031000097044 |
| Reference:
|
[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. MR 1121619, 10.1016/0022-1236(91)90046-8 |
| Reference:
|
[5] Aizicovici, S., Reich, S.: Anti-periodic solutions to difference inclusions in Banach spaces.Dyn. Syst. Appl. 1 (1992), 121-130. Zbl 0756.39001, MR 1171125 |
| Reference:
|
[6] Apreutesei, G., Apreutesei, N.: Continuous dependence on data for bilocal difference equations.J. Difference Equ. Appl. 15 (2009), 511-527. Zbl 1176.39003, MR 2523089, 10.1080/10236190802192975 |
| Reference:
|
[7] Apreutesei, N.: On a class of difference equations of monotone type.J. Math. Anal. Appl. 288 (2003), 833-851. Zbl 1040.39002, MR 2020200, 10.1016/j.jmaa.2003.09.017 |
| Reference:
|
[8] Apreutesei, N.: Nonlinear Second Order Evolution Equations of Monotone Type and Applications.Pushpa Publishing House, India (2007). Zbl 1152.34001, MR 2419289 |
| Reference:
|
[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. Zbl 0256.47052, MR 0331133 |
| Reference:
|
[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 |
| Reference:
|
[11] Stehlík, P., Tisdell, C. C.: On boundary value problems for second-order discrete inclusions.Bound. Value Probl. 2005 (2005), 153-164. Zbl 1146.39031, MR 2198748 |
| . |
