Janusz Mierczyński (1999)
Applicationes Mathematicae
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It is known that in two-dimensional systems of ODEs of the form with (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class .
Daniel Ševčovič (1991)
Commentationes Mathematicae Universitatis Carolinae
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The limiting behavior of global attractors for singularly perturbed beam equations is investigated. It is shown that for any neighborhood of the set is included in for small.
Garay, B.M. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Farkas, G. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Pilipović, S., Scarpalézos, D. (1996)
Portugaliae Mathematica
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Rayskin, Victoria (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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T. Winiarska (1992)
Annales Polonici Mathematici
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The main object of this paper is to study the regularity with respect to the parameter h of solutions of the problem , . The continuity of u with respect to both h and t has been considered in [6].