Asymptotic behavior of solutions to second-order nonlinear differential equations.
Rogovchenko, Svetlana P., Rogovchenko, Yuri V. (2000)
Portugaliae Mathematica
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Rogovchenko, Svetlana P., Rogovchenko, Yuri V. (2000)
Portugaliae Mathematica
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Burton, T.A., Somolinos, Alfredo (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Czechoslovak Mathematical Journal
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Archivum Mathematicum
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We prove global existence and stability results for a semilinear parabolic equation, a semilinear functional equation and a semilinear integral equation using an inequality which may be viewed as a nonlinear singular version of the well known Gronwall and Bihari inequalities.