On the existence of a bounded solution of a non-linear differential equation
M. Jakubičková (1968)
Archivum Mathematicum
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M. Jakubičková (1968)
Archivum Mathematicum
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František Neuman (1967)
Archivum Mathematicum
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Xingyong Zhang, Yinggao Zhou (2010)
Applications of Mathematics
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The purpose of this paper is to study the existence of periodic solutions for the non-autonomous second order Hamiltonian system Some new existence theorems are obtained by the least action principle.
Awar Simon Ukpera, Olufemi Adeyinka Adesina (2012)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.