Solutions to systems of partial differential equations with weighted self-reference and heredity
This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential equations with given initial conditions.
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Texas State University
2012-07-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2012/117/abstr.html |
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author | Pham Ky Anh Nguyen Thi Thanh Lan Nguyen Minh Tuan |
author_facet | Pham Ky Anh Nguyen Thi Thanh Lan Nguyen Minh Tuan |
author_sort | Pham Ky Anh |
collection | DOAJ |
description | This article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential equations with given initial conditions. |
first_indexed | 2024-12-14T01:34:56Z |
format | Article |
id | doaj.art-d80ad24822034229a9858b42d3801696 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-14T01:34:56Z |
publishDate | 2012-07-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
spelling | doaj.art-d80ad24822034229a9858b42d38016962022-12-21T23:21:55ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-07-012012117,114Solutions to systems of partial differential equations with weighted self-reference and heredityPham Ky AnhNguyen Thi Thanh LanNguyen Minh TuanThis article studies the existence of solutions to systems of nonlinear integro-differential self-referred and heredity equations. We show the existence of a global solution and the uniqueness of a local solution to a system of integro-differential equations with given initial conditions.http://ejde.math.txstate.edu/Volumes/2012/117/abstr.htmlHereditaryself-referrednon-linear integro-differentialequationsrecursive scheme |
spellingShingle | Pham Ky Anh Nguyen Thi Thanh Lan Nguyen Minh Tuan Solutions to systems of partial differential equations with weighted self-reference and heredity Electronic Journal of Differential Equations Hereditary self-referred non-linear integro-differential equations recursive scheme |
title | Solutions to systems of partial differential equations with weighted self-reference and heredity |
title_full | Solutions to systems of partial differential equations with weighted self-reference and heredity |
title_fullStr | Solutions to systems of partial differential equations with weighted self-reference and heredity |
title_full_unstemmed | Solutions to systems of partial differential equations with weighted self-reference and heredity |
title_short | Solutions to systems of partial differential equations with weighted self-reference and heredity |
title_sort | solutions to systems of partial differential equations with weighted self reference and heredity |
topic | Hereditary self-referred non-linear integro-differential equations recursive scheme |
url | http://ejde.math.txstate.edu/Volumes/2012/117/abstr.html |
work_keys_str_mv | AT phamkyanh solutionstosystemsofpartialdifferentialequationswithweightedselfreferenceandheredity AT nguyenthithanhlan solutionstosystemsofpartialdifferentialequationswithweightedselfreferenceandheredity AT nguyenminhtuan solutionstosystemsofpartialdifferentialequationswithweightedselfreferenceandheredity |