Green's function to the forced Duffing equation involving nonlocal integral conditions by Green's functional concept
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Date
2012
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info:eu-repo/semantics/closedAccess
Abstract
In this work, by Green's functional concept we propose a Green's function to a nonlinear problem for the forced Duffing equation involving linear nonlocal integral conditions. To this end, a system of three integro-algebraic equations called the special adjoint system is constructed. And a condition for existing the unique solution to this system is presented. The unique solution of this special adjoint system is Green's functional. In accordance with this condition, the special adjoint system is reduced to an integral equation yielding the first component of Green's functional. This component represents Green's function for that problem. In order to illustrate the theoretical presentation, an application is provided. © 2012 American Institute of Physics.
Description
Eur. Soc. Comput. Methods Sci., Eng. Technol. (ESCMSET);The R. M. Santilli Foundation
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 -- 19 September 2012 through 25 September 2012 -- Kos --
International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2012 -- 19 September 2012 through 25 September 2012 -- Kos --
Keywords
Adjoint Problem, Green's Function, Nonlinear Ordinary Differential Equation, Nonlocal Integral Condition
Journal or Series
AIP Conference Proceedings
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N/A
Volume
1479
Issue
1
