Existence principles for second order nonresonant boundary value problems (Q1346196)
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scientific article; zbMATH DE number 735697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence principles for second order nonresonant boundary value problems |
scientific article; zbMATH DE number 735697 |
Statements
Existence principles for second order nonresonant boundary value problems (English)
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21 March 1995
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The existence of a solution \(y\) to the equation \({1 \over p(t)} (p(t) y'(t))' = f(t, y(t), p(t)y'(t))\) a.e. in \([0,1]\) which satisfies either Sturm-Liouville, or Neumann or periodic or Bohr conditions is established under the assumption that \(p \in C[0,1] \cap C^ 1(0,1)\), \(p(t) > 0\) in \((0,1)\) and \(pf\) is an \(L^ 1\)-Carathéodory function.
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Sturm-Liouville
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Neumann
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periodic and Bohr boundary value problems
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nonlinear alternative
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