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On the asymptotic behavior of the solutions of a class of second order nonlinear differential equations - MaRDI portal

On the asymptotic behavior of the solutions of a class of second order nonlinear differential equations (Q1298808)

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scientific article; zbMATH DE number 1326553
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On the asymptotic behavior of the solutions of a class of second order nonlinear differential equations
scientific article; zbMATH DE number 1326553

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    On the asymptotic behavior of the solutions of a class of second order nonlinear differential equations (English)
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    10 July 2000
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    The authors investigate monotonicity, nonoscillation, boundedness, asymptotic behavior, and continuation of solutions to the nonlinear differential equation \[ [p(t) f(x(t)) x'(t)]'+ q(t)g(x'(t)) e(x(t))= r(t) c(x(t)) \] and an asymptotic relationship to solutions to \([p(t) u'(t)]'= r(t) u(t)\).
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    nonlinear differential equation
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    asymptotic behavior
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    monotonicity
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    boundedness
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