Symmetrized solutions for nonlinear stochastic differential equations
Solutions of nonlinear stochastic differential equations in series form can be put into convenient symmetrized forms which are easily calculable. This paper investigates such forms for polynomial nonlinearities, i.e., equations of the form Ly+ym=x where x is a stochastic process and L is a linear st...
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| Format: | Article |
| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171281000380 |
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| _version_ | 1849306180692738048 |
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| author | G. Adomian L. H. Sibul |
| author_facet | G. Adomian L. H. Sibul |
| author_sort | G. Adomian |
| collection | DOAJ |
| description | Solutions of nonlinear stochastic differential equations in series form can be put into convenient symmetrized forms which are easily calculable. This paper investigates such forms for polynomial nonlinearities, i.e., equations of the form Ly+ym=x where x is a stochastic process and L is a linear stochastic operator. |
| format | Article |
| id | doaj-art-38bed878d62442eea9f3cc76d5cf2b8f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-38bed878d62442eea9f3cc76d5cf2b8f2025-08-20T03:55:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014352954210.1155/S0161171281000380Symmetrized solutions for nonlinear stochastic differential equationsG. Adomian0L. H. Sibul1Center for Applied Mathematics, University of Georgia, Athens 30602, Georgia, USAApplied Research Laboratory, Pennsylvania State University, University Park 16802, Pennsylvania, USASolutions of nonlinear stochastic differential equations in series form can be put into convenient symmetrized forms which are easily calculable. This paper investigates such forms for polynomial nonlinearities, i.e., equations of the form Ly+ym=x where x is a stochastic process and L is a linear stochastic operator.http://dx.doi.org/10.1155/S0161171281000380nonlinear stochastic differential equationstochastic Green's functionpolynomial nonlinearities and exponential nonlinearity. |
| spellingShingle | G. Adomian L. H. Sibul Symmetrized solutions for nonlinear stochastic differential equations International Journal of Mathematics and Mathematical Sciences nonlinear stochastic differential equation stochastic Green's function polynomial nonlinearities and exponential nonlinearity. |
| title | Symmetrized solutions for nonlinear stochastic differential equations |
| title_full | Symmetrized solutions for nonlinear stochastic differential equations |
| title_fullStr | Symmetrized solutions for nonlinear stochastic differential equations |
| title_full_unstemmed | Symmetrized solutions for nonlinear stochastic differential equations |
| title_short | Symmetrized solutions for nonlinear stochastic differential equations |
| title_sort | symmetrized solutions for nonlinear stochastic differential equations |
| topic | nonlinear stochastic differential equation stochastic Green's function polynomial nonlinearities and exponential nonlinearity. |
| url | http://dx.doi.org/10.1155/S0161171281000380 |
| work_keys_str_mv | AT gadomian symmetrizedsolutionsfornonlinearstochasticdifferentialequations AT lhsibul symmetrizedsolutionsfornonlinearstochasticdifferentialequations |