On the Half-line

نویسنده

  • P. P. B. EGGERMONT
چکیده

We study uniform error estimates of operational quadrature methods for nonlinear convolution equations on the half-line. Equations of this kind arise in control engineering and diffusion problems. The essential ingredients are the stability of the operational quadrature method in an L setting, which is inherited from the continuous equation by its very construction, and a theorem that says that the behavior of the linearized equations is the same in all LP spaces ( 1 < p < oo ).

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تاریخ انتشار 2010