<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">T.E. Govindan</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">ASYMPTOTIC STABILITY OF MILD SOLUTIONS OF STOCHASTIC EVOLUTION EQUATIONS</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">Asymptotic Stability of Mild Solutions</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34K50</style></keyword><keyword><style  face="normal" font="default" size="100%">60H20</style></keyword><keyword><style  face="normal" font="default" size="100%">93E15</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2006</style></year><pub-dates><date><style  face="normal" font="default" size="100%">08/2006</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/10/3/6.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">10</style></volume><pages><style face="normal" font="default" size="100%">360</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p class=&quot;rtejustify&quot;&gt;In this paper, we study the existence and stability problems associated with stochastic evolution equations in Hilbert spaces. To be precise, we first consider an existence result for a mild solution and then the exponential stability of the moments of such solutions and also of its sample paths. Such results are established employing the theory of a stochastic convolution integral and a comparison principle under less restrictive hypothesis than the Lipschitz condition on the nonlinear terms. Moreover, we consider asymptotic stability in probability of the sample paths of the solution process. The results obtained here generalize the corresponding main results from Taniguchi [18] and also the classical results of Ichikawa [7, 8] all established under the Lipschitz hypothesis.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">3</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">345</style></section></record></records></xml>