Uniqueness of periodic solution for a class of Liénard -Laplacian equations.
Cao, Fengjuan, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
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Cao, Fengjuan, Han, Zhenlai, Zhao, Ping, Sun, Shurong (2010)
Advances in Difference Equations [electronic only]
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Ján Andres, Vladimír Vlček (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Nelson Nery Oliveira Castro, Nirzi G. de Andrade (2002)
Applications of Mathematics
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In this paper we prove existence of periodic solutions to a nonlinear evolution system of second order partial differential equations involving the pseudo-Laplacian operator. To show the existence of periodic solutions we use Faedo-Galerkin method with a Schauder fixed point argument.
Wang, Genqiang, Yan, Jurang (2000)
International Journal of Mathematics and Mathematical Sciences
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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.