Pham Ky Anh, Nguyen Thi Thanh Lan, Nguyen Minh Tuan
Abstract:
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.
Submitted June 18, 2012. Published July 14, 2012.
Math Subject Classifications: 35F25, 45G15, 47J35, 47N60, 92D15.
Key Words: Hereditary; self-referred; non-linear integro-differential
equations; recursive scheme.
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Pham Ky Anh Department of Mathematics School of Science, Vietnam National University 334 Nguyen Trai Str., Hanoi, Vietnam email: anhpk@vnu.edu.vn, anhpk2009@gmail.com |
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Nguyen Thi Thanh Lan Faculty of Mathematics and Applications, Saigon University 273 An Duong Vuong str., w. 3, dist. 5 Ho Chi Minh City, Vietnam email: nguyenttlan@gmail.com |
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Nguyen Minh Tuan Department of Mathematics, University of Education Vietnam National University G7 Build., 144 Xuan Thuy Rd., Cau Giay Dist., Hanoi, Vietnam email: tuannm@hus.edu.vn |
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