A nonlocal heat flow problem (Q1826781)
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scientific article; zbMATH DE number 2081799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlocal heat flow problem |
scientific article; zbMATH DE number 2081799 |
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A nonlocal heat flow problem (English)
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6 August 2004
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The considered steady-state heat-flow problem leads to the nonlocal boundary value problem \[ u''=F(x,u),\quad 0<x<1, \] \[ u(0)=u_0,\quad \int^1_\xi g(x,u(x))\,dx=b\text{ with }\xi\in(0,1]. \] Under suitable assumptions on \(F\) and \(g\), the author proves existence, uniqueness and monotonicity of the solution.
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three-point boundary value problem
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nonlocal boundary conditions
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existence
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uniqueness
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topological transversality
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