Publication Cover
Applicable Analysis
An International Journal
Volume 43, 1992 - Issue 3-4
15
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Error estimates and stability of itô-type systems of nonlinear stochastic integro-differential equations

&
Pages 163-189 | Received 13 Nov 1990, Published online: 02 May 2007

References

  • Bharucha-Reid , A.T. 1972 . Random Integral Equations , New York : Academic Press .
  • Chandra , J. , Ladde , G.S. and Lakshmikantham , V. 1983 . On the fundamental theory of nonlinear second order stochastic boundary value problems . Stoch. Anal. Appl , 1 : 1 – 19 .
  • Chandra , J. , Ladde , G.S. and Lakshmikantham , V. 1983 . Stochastic analysis of compressible gas lubricated slider bearing problem . SIAM J. on Appl. Math , 43 : 1174 – 1186 .
  • Grossman , S.I. and Miller , R.K. 1970 . Perturbation theory for Volterra Integro-Differential systems . Journal of Differential Equations , 8 : 457 – 474 .
  • Hu , S. , Lakshmikantham , V. and Rama Mohana Rao , M. 1988 . Nonlinear variation of parameters formula for Integro-differential equations of Volterra type . J. Math. Anal. Appl , 29 : 223 – 230 .
  • Ladde , G.S. 1975 . Variational comparison theorem and perturbations of nonlinear systems . Proc. of AMS , 52 : 181 – 187 .
  • Ladde , G.S. and Lakshmikantham , V. 1980 . Random Differential Inequalities , New York : Academic Press .
  • Ladde , G.S. and Sambandham , M. 1983 . Error estimate of solutions and means of solutions of stochastic differential systems . Jour, of Math. Phys , 24 : 815 – 822 .
  • Ladde , G.S. and Sambandham , M. 1988 . Variation of Constants formula and error estimates to stochastic difference equations . J. Math, and Phys. Sci , 22 : 557 – 584 .
  • Lakshmikantham , V. , Leela , S. and Martynyuk , A.A. 1989 . Stability Analysis of Nonlinear Systems , New York and Basel : Marcel Dekker .
  • Tsokos , C.P. and Padgett , W.J. 1974 . Random Integral Equations with Applications to Life Sciences and Engineering , New York : Academic Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.