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Abstract and Applied Analysis
Volume 2013, Article ID 108482, 7 pages
Research Article

On an Invariant Set in the Heat Conductivity Problem with Time Lag

1National University of Uzbekistan, Tashkent 100174, Uzbekistan
2Universiti Putra Malaysia, 43400 Serdang, Malaysia

Received 5 September 2013; Accepted 20 November 2013

Academic Editor: Pavel Kurasov

Copyright © 2013 M. Tukhtasinov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problems of weak and strong invariance of a constant multivalued mapping with respect to the heat conductivity equation with time lag are studied. Sufficient conditions of weak and strong invariance of a given multivalued mapping are obtained.