Periodic solutions of dissipative systems revisited.
Andres, Jan, Górniewicz, Lech (2006)
Fixed Point Theory and Applications [electronic only]
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Andres, Jan, Górniewicz, Lech (2006)
Fixed Point Theory and Applications [electronic only]
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Gabor, Grzegorz (2004)
Abstract and Applied Analysis
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Andres, Jan, Malaguti, Luisa, Taddei, Valentina (2003)
Abstract and Applied Analysis
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Obukhovskii, Valeri, Zecca, Pietro, Zvyagin, Victor (2006)
Abstract and Applied Analysis
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L. H. Erbe, W. Krawcewicz (1991)
Annales Polonici Mathematici
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Applying the topological transversality method of Granas and the a priori bounds technique we prove some existence results for systems of differential inclusions of the form y'' ∈ F(t,y,y'), where F is a Carathéodory multifunction and y satisfies some nonlinear boundary conditions.
Filippakis, Michael E., Papageorgiou, Nikolaos S. (2004)
Fixed Point Theory and Applications [electronic only]
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Lech Górniewicz (1998)
Archivum Mathematicum
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We shall consider periodic problems for ordinary differential equations of the form where satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of , the topological degree of, associated to (), multivalued Poincaré operator turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding...
Dimitrios Kravvaritis, Nikolaos S. Papageorgiou (1996)
Archivum Mathematicum
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Using a Nagumo type tangential condition and a recent theorem on the existence of directionally continuous selector for a lower semicontinuous multifunctions, we establish the existence of periodic trajectories for nonconvex differential inclusions.