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      A New Method Based on the RKHSM for Solving Systems of Nonlinear IDDEs with Proportional Delays

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      Abstract and Applied Analysis
      Hindawi Limited

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          Abstract

          An efficient computational method is given in order to solve the systems of nonlinear infinite-delay-differential equations (IDDEs) with proportional delays. Representation of the solution and an iterative method are established in the reproducing kernel space. Some examples are displayed to demonstrate the computation efficiency of the method.

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          Most cited references21

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          The exact solution for solving a class nonlinear operator equations in the reproducing kernel space

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            The homotopy perturbation method for solving neutral functional–differential equations with proportional delays

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              Exponential stability of linear distributed parameter systems with time-varying delays

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                Author and article information

                Journal
                Abstract and Applied Analysis
                Abstract and Applied Analysis
                Hindawi Limited
                1085-3375
                1687-0409
                2013
                2013
                : 2013
                :
                : 1-13
                Article
                10.1155/2013/541935
                823dcb9d-c15d-4bcd-8468-4717f2d6121e
                © 2013

                http://creativecommons.org/licenses/by/3.0/

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