Asymptotic behavior of non-linear inhomogeneous equations via non-standard analysis. Part I. Second order equations
Vadim Komkov, Carter Waid (1973)
Annales Polonici Mathematici
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Vadim Komkov, Carter Waid (1973)
Annales Polonici Mathematici
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Kuo-Liang Chiou (1974)
Annales Polonici Mathematici
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Barbara Stachurska (1971)
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Vadím Komkov (1974)
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Zbigniew Kiełek (1990)
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Miloš Ráb (1974)
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Thomas G. Hallam (1971)
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Matematički Vesnik
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Aleksandar Ivić (1978)
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Bogoljub Stanković (1987)
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We introduce the notions of asymptotic period and asymptotically periodic orbits in metric spaces. We study some properties of these notions and their connections with ω-limit sets. We also discuss the notion of growth rate of such orbits and describe its properties in an extreme case.