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Oscillatory behaviour solutions of \(y''+P(x)y=f(x)\) - MaRDI portal

Oscillatory behaviour solutions of \(y''+P(x)y=f(x)\) (Q1064448)

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scientific article; zbMATH DE number 3918844
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Oscillatory behaviour solutions of \(y''+P(x)y=f(x)\)
scientific article; zbMATH DE number 3918844

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    Oscillatory behaviour solutions of \(y''+P(x)y=f(x)\) (English)
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    1985
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    The authors examine the oscillatory and asymptotic behavior of solutions of the second order nonhomogeneous linear differential equation \(y''+P(x)y=f(x)\), and the associated homogeneous equation. Conditions under which the nonhomogeneous equation is oscillatory if and only if the homogeneous equation is oscillatory, are determined.
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    second order nonhomogeneous linear differential equation
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    homogeneous equation
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