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Articles

Numerical solution stability of general stochastic differential equation

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Pages 1471-1479 | Received 01 Jun 2018, Published online: 28 Sep 2018

References

  • Ding Z, Zhou M C, Wang S G. Ordinary Differential Equation-Based Deadlock Detection. IEEE Transactions on Systems Man & Cybernetics Systems, 2017, 44(10):1435–1454. doi: 10.1109/TSMC.2014.2311757
  • Møller J K, Zugno M, Madsen H. Probabilistic Forecasts of Wind Power Generation by Stochastic Differential Equation Models. Journal of Forecasting, 2016, 35(3):189–205. doi: 10.1002/for.2367
  • Dunzlaff P, Strauss R D, Potgieter M S. Solving Parker’s transport equation with stochastic differential equations on GPUs. Computer Physics Communications, 2015, 192:156–165. doi: 10.1016/j.cpc.2015.03.008
  • Douady R, Yor M, Shiryaev A N. On probability characteristics of “downfalls” in a standard Brownian motion. Hydrotechnical Construction, 2017, 11(8):852–853.
  • Fakhrodin M. Numerical Solution of Stochastic Ito-Volterra Integral Equations using Haar Wavelets. Numerical Mathematics Theory Methods & Applications, 2016, 9(3):416–431. doi: 10.4208/nmtma.2016.m1425
  • Abou-El-Ela A M, Sadek A R, Mahmoud A M, et al. Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation. Turkish Journal of Mathematics, 2017, 41(3):576–584. doi: 10.3906/mat-1508-62
  • Fiel A, León J A, Márquez-Carreras D. Stability for a class of semilinear fractional stochastic integral equations. Advances in Difference Equations, 2016, 2016(1):166.
  • Ito H, Nishimura Y. Integral input-to-state stabilization by stochastic noise generated in bounded regions. IEEE Conference on Decision and Control. IEEE, 2015:1835–1840.
  • Abou-El-Ela A M A, Sadek A I, Mahmoud A M, et al. On the Stochastic Stability and Boundedness of Solutions for Stochastic Delay Differential Equation of the Second Order. Chinese Journal of Mathematics, 2015, 2015:1–8. doi: 10.1155/2015/358936
  • Kulinich G, Kushnirenko S, Mishura Y. Asymptotic behavior of integral functionals of unstable solutions of one-dimensional Itô stochastic differential equations. Theory of Probability & Mathematical Statistics, 2015, 89:1. doi: 10.1090/S0094-9000-2015-00938-8
  • Mohammadi F. A Chebyshev wavelet operational method for solving stochastic Volterra-Fredholm integral equations. International Journal of Applied Mathematical Research, 2015, 4(2):217–227. doi: 10.14419/ijamr.v4i2.4302
  • Peng S, Wang J R. Cauchy problem for nonlinear fractional differential equations with positive constant coefficient. Journal of Applied Mathematics & Computing, 2016, 51(1–2):341–351. doi: 10.1007/s12190-015-0908-4
  • Nikolova L, Varosanec S. Chebyshev and Grüss type inequalities involving two linear functionals and applications. Mathematical Inequalities & Applications, 2016, 19(1):127–143. doi: 10.7153/mia-19-10
  • Zhang L. Borel Cantelli Lemmas and Extreme Value Theory for Geometric Lorenz Models. Israel Journal of Mathematics, 2016, 29(1):232–255.
  • Kanan K. Patro, M. M. Acharya & S. Acharya.Multi-choice goal programming approach to solve multi-objective probabilistic programming problem. Journal of Information and Optimization Sciences, 2018, 39:607–629. doi: 10.1080/02522667.2017.1400743
  • Shiralashetti SC, Kantli MH, Deshi AB, Mutalik Desai PB. A modified wavelet multigrid method for the numerical solution of boundary value problems. Journal of Information and Optimization Sciences, 2017, 38:151–172. doi: 10.1080/02522667.2016.1190568

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