Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1181.47066
Apreutesei, N.; Apreutesei, G.
A Trotter-Kato type result for a second order difference inclusion in a Hilbert space.
(English)
[J] J. Math. Anal. Appl. 361, No. 1, 195-204 (2010). ISSN 0022-247X

A Trotter-Kato type result is proved for the following boundary value problem: $$u_{i + 1} - (1 + \theta_{i}) u_{i} + \theta_{i} u_{i - 1} \in c_{i} A u_{i} + f_{i} \quad (i = 1,2,\dots),$$ $$u_{1} - u_{0} \in \alpha (u_{0} - a),$$ where $A$ and $\alpha$ are nonlinear maximal monotone operators (possibly multivalued) in a real Hilbert space, $a,f_{i} \in \mathcal{H}$ and $c_{i} > 0, \ 0 < \theta_{i} < 1$ $(i = 1,2,\dots).$
[Petru A. Cojuhari (Kraków)]
MSC 2000:
*47J22
47H05 Monotone operators (with respect to duality)

Keywords: maximal monotone operator; strongly monotone operator; resolvent; Yosida approximation; resolvent convergence

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences