Nonlinear analysis, 2012, Vol.75 (1), p.405-416
2012
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Details
- Autor(en) / Beteiligte
- Titel
- Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay
- Ist Teil von
- Nonlinear analysis, 2012, Vol.75 (1), p.405-416
- Ort / Verlag
- Amsterdam: Elsevier Ltd
- Erscheinungsjahr
- 2012
- Quelle
- ScienceDirect
- Beschreibungen/Notizen
- This paper considers a class of nonlocal stochastic differential equations with time-varying delay whose coefficients are dependent on the p th moment. By applying the fixed point theorem, the existence and uniqueness of the solution of nonlocal stochastic differential delay equations is studied. Also, a class of moment estimates of solutions is considered. The results are a generalization and continuation of the recent results on this issue. An example is provided to illustrate the effectiveness of our results.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0362-546XeISSN: 1873-5215DOI: 10.1016/j.na.2011.08.042Titel-ID: cdi_proquest_miscellaneous_963909106
- Format
- –
- Schlagworte
- Delay, Differential equations, Estimates, Exact sciences and technology, Existence and uniqueness, Existence theorems, Mathematical analysis, Mathematics, Moment estimate, Nonlinearity, Nonlocal stochastic differential equation, Numerical analysis, Numerical analysis. Scientific computation, Numerical methods in probability and statistics, Sciences and techniques of general use, Stochasticity, Time-varying delay, Uniqueness