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Oscillatory property of \(n\)-th order functional differential equations - MaRDI portal

Oscillatory property of \(n\)-th order functional differential equations (Q1058652)

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scientific article; zbMATH DE number 3901224
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Oscillatory property of \(n\)-th order functional differential equations
scientific article; zbMATH DE number 3901224

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    Oscillatory property of \(n\)-th order functional differential equations (English)
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    1985
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    Sufficient conditions are given for all continuable solutions of the equation \(L_ nx(t)+p(t)f(x(t),x(g(t)))=r(t)\) to be oscillatory or to tend to zero as \(t\to \infty\). Here \(L_ 0x(t)=x(t)\), \(L_ kx(t)=d(a_{k-1}(t)L_{k-1}x(t))/dt\); \(k=1,...,n\).
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