On a boundary value problem arising in nonlinear field theory (Q1084245)
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scientific article; zbMATH DE number 3977447
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a boundary value problem arising in nonlinear field theory |
scientific article; zbMATH DE number 3977447 |
Statements
On a boundary value problem arising in nonlinear field theory (English)
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1986
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Necessary and sufficient conditions under which the boundary value problem \(u''=-(\gamma /t)u'+u-| u|^{\lambda}sign u,\) \(u'(0+)=0\), \(u(+\infty)=0\) with \(\gamma\in R\) and \(\lambda >0\) has nonzero solutions are established. Some properties, especially oscillatory, of solutions are also studied.
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oscillatory solutions
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second order differential equations
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0.9426515
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