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Stability of semilinear stochastic evolution equations with monotone nonlinearity

Jahanipur, R ; Sharif University of Technology | 2000

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  1. Type of Document: Article
  2. DOI: 10.7153/mia-03-53
  3. Publisher: Element D.O.O , 2000
  4. Abstract:
  5. In this paper, we consider the exponentially asymptotic stability of the mild solutions of semilinear stochastic evolution equations of monotone type. An Itô-type inequality is our main tool to study the stability in the p -th moment and almost sure sample-path stability of the mild solutions. We also give some examples to illustrate the applications of the theorems
  6. Keywords:
  7. Borel-Cantelli's lemma ; Itô-type inequality ; Sample-path stability ; Stability in the p-th moment ; Stochastic evolution equations
  8. Source: Mathematical Inequalities and Applications ; Volume 3, Issue 4 , 2000 , Pages 593-614 ; 13314343 (ISSN)
  9. URL: http://mia.ele-math.com/03-53/Stability-of-semilinear-stochastic-evolution-equations-with-monotone-nonlinearity