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Analytic solutions to a class of nonlinear infinite-delay-differential equations - MaRDI portal

Analytic solutions to a class of nonlinear infinite-delay-differential equations (Q924206)

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scientific article; zbMATH DE number 5275655
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Analytic solutions to a class of nonlinear infinite-delay-differential equations
scientific article; zbMATH DE number 5275655

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    Analytic solutions to a class of nonlinear infinite-delay-differential equations (English)
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    15 May 2008
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    The analytic solutions of the infinite delay differential equation with proportional delay \[ u'(x)=g(x,u(x),u(px)),\quad u(0)=\eta,\quad (p\in (0,\,1)) \] are studied, based on the characteristics of the reproducing kernel space \(W_2[0,\infty]\).
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    infinite-delay-differential equations
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    exact solutions
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    reproducing kernel space
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