An iteration procedure for nonlinear boundary conditions (Q2767705)
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scientific article; zbMATH DE number 1698446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An iteration procedure for nonlinear boundary conditions |
scientific article; zbMATH DE number 1698446 |
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6 April 2003
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nonlinear boundary conditions
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semilinear second-order differential equation
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An iteration procedure for nonlinear boundary conditions (English)
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The authors study the general semilinear second-order ordinary differential equation \(u''(t)= f(t,u,u')\) with the nonlinear boundary condition \(u(0)= h_0(u(0), u'(0))\), \(u(T)= h_T(u(T), u'(T))\). They show, using Schauder's theorem, how to obtain solutions to the above problem under growth conditions on \(f\) and \(h\). The authors derive solutions by a recursive method.
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