Allowable delays for positive diffusion processes (Q1074767)
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scientific article; zbMATH DE number 3948837
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Allowable delays for positive diffusion processes |
scientific article; zbMATH DE number 3948837 |
Statements
Allowable delays for positive diffusion processes (English)
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1985
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Consider the delay parabolic equation of the form \[ u_ t=a(t)u_{xx}- p(x,t)u(x,t-\sigma)+q(x,t)u(x,t-\rho) \] where a,p, and q are non- negative coefficients and the delays \(\sigma\) and \(\rho\) are non-negative constants. The purpose of this paper is to establish upper bounds on delays which result from the requirement that \(u(x,t)>0\) for \(t\geq 0\).
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positive solutions
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delay parabolic equation
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