Oleg Zubelevich (2011)
Archivum Mathematicum
An ODE with non-Lipschitz right hand side has been considered. A family of solutions with -dependence of the initial data has been obtained. A special set of initial data has been constructed. In this set the family is continuous. The measure of this set has been estimated.
Zdzisław Wojtkowiak (1991)
Bulletin de la Société Mathématique de France
Chyan, Chuan J., Henderson, Johnny (1989)
International Journal of Mathematics and Mathematical Sciences
Miloš Háčik (1980)
Archivum Mathematicum
Rudolf Blaško, Miloš Háčik (1985)
Archivum Mathematicum
Miloš Háčik, Milan Oslej (1982)
Časopis pro pěstování matematiky
Miloš Háčik, Peter Ivan (1984)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Anna Cima, Armengol Gasull, Francesc Mañosas (2001)
Annales Polonici Mathematici
In LaSalle's book "The Stability of Dynamical Systems", the author gives four conditions which imply that the origin of a discrete dynamical system defined on ℝ is a global attractor, and proposes to study the natural extensions of these conditions in ℝⁿ. Although some partial results are obtained in previous papers, as far as we know, the problem is not completely settled. In this work we first study the four conditions and prove that just one of them implies that the origin is a global attractor...
Miroslav Laitoch (1981)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
Renato Manfrin (2010)
Archivum Mathematicum
Under suitable hypotheses on , , we prove some stability results which relate the asymptotic behavior of the solutions of to the asymptotic behavior of the solutions of .
J. Lorenz, P.E. Kloeden (1989/1990)
Numerische Mathematik
O'Regan, Donal (1999)
Journal of Applied Mathematics and Stochastic Analysis
Mohammed Guedda (2002)
Publicacions Matemàtiques
We study the nonexistence result of radial solutions to -Δu + c u/(|x|2) + |x|σ|u|qu ≤ 0 posed in B or in B {0} where B is the unit ball centered at the origin in RN, N ≥ 3. Moreover, we give a complete classification of radial solutions to the problem -Δu + c u/(|x|2) + |x|σ|u|qu = 0. In particular we prove that the latter has exactly one family of radial solutions.
Nedeljkov, M., Rajter, D. (2000)
Novi Sad Journal of Mathematics
Sergio Invernizzi (1986)
Commentationes Mathematicae Universitatis Carolinae
Arévalo, Carmen (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Ján Regenda (1983)
Mathematica Slovaca
Paul H. Rabinowitz (1973/1974)
Manuscripta mathematica
Bahman Mehri (1977)
Archivum Mathematicum
Chang, S.H. (1985)
International Journal of Mathematics and Mathematical Sciences