Sturm comparison theorem of solution for second order nonlinear differential equations (Q1765863)

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scientific article; zbMATH DE number 2137748
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Sturm comparison theorem of solution for second order nonlinear differential equations
scientific article; zbMATH DE number 2137748

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    Sturm comparison theorem of solution for second order nonlinear differential equations (English)
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    23 February 2005
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    Using some differential inequalities obtained in this paper, the authors present several results of comparison character, in which the oscillation of the nonlinear differential equation \[ [p_2(t)y'(t)]'+r_2(t)y'(t)+q_2(t)f(y(t))=0 \] is derived from the same property of the linear differential equation \([p_1(t)x'(t)]'+r_1(t)x'(t)+q_1(t)x(t)=0\). Unfortunately, neither examples for illustration of obtained results nor a comparison with other known results are in the paper.
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    oscillation theory
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