Note on bounded \(L^ p\)-solutions to \(x''-a(t)x^ c=0\) (Q1088830)
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scientific article; zbMATH DE number 3991945
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on bounded \(L^ p\)-solutions to \(x''-a(t)x^ c=0\) |
scientific article; zbMATH DE number 3991945 |
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Note on bounded \(L^ p\)-solutions to \(x''-a(t)x^ c=0\) (English)
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1986
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For the equation \(x''=a(t)x^ c\), \(0<a_ 0<a(t)<a_ 1\), \(a'(t)<0\) it is shown by simple arguments that a positive bounded solution exists with \(\int^{\infty}x^{c+1}dt<\infty,\int^{\infty}(x')^ 2dt<\infty.\)
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positive bounded solution
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