On the position of zeros and extrema of oscillatory solutions of second order differential equations (Q1355795)
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scientific article; zbMATH DE number 1014348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the position of zeros and extrema of oscillatory solutions of second order differential equations |
scientific article; zbMATH DE number 1014348 |
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On the position of zeros and extrema of oscillatory solutions of second order differential equations (English)
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4 September 2000
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The author studies the position of zeros and extrema of solutions to the nonselfadjoint differential equation \( u'' +a(x)u'+b(x)u=0\). His results are generalizations of well-known theorems on oscillatory solutions to the selfadjoint equation \(u'' +a(x)u=0\) [\textit{P. Hartman}, Ordinary differential equations, John Wiley \& Sons, Inc., New York etc. (1964; Zbl 0125.32102) and \textit{A. Laforgia}, Indagationes Math. 44, 295-301 (1982; Zbl 0512.34018)].
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oscillatory solution
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zeros
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extrema
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