One model of size-structured population dynamics (Q2514860)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One model of size-structured population dynamics |
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One model of size-structured population dynamics (English)
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4 February 2015
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It is proved that the boundary value problem \[ \frac{\partial x(t,l)}{\partial t}+b\frac{\partial x(t,l)}{\partial l}=cx(t,l), \] \[ x(0,l)=\varphi_0(l),\;l\in[0,L],\;x(t,0)=\int_0^L f(t,l,x(t,l))dl+p(t), \] has a solution of the form \(x(t,l)=e^{ct}\varphi(l-bt)\).
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transport equation
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integral equation of Volterra type
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method of successive approximation
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