The laminary model of the exploded Descartes-plane.
Szalay, I. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Szalay, I. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Bartušek, Miroslav (1995)
Georgian Mathematical Journal
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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Kalas, Josef (2000)
Georgian Mathematical Journal
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Szalay, I. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Baskakov, A.G., Pastukhov, A.I. (2001)
Sibirskij Matematicheskij Zhurnal
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Pyatkov, S.G., Abasheeva, N.L. (2002)
Sibirskij Matematicheskij Zhurnal
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Artur Barkhudaryan (1999)
Commentationes Mathematicae Universitatis Carolinae
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This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
Svatoslav Staněk (1993)
Annales Polonici Mathematici
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A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
Lomtatidze, A. (1995)
Georgian Mathematical Journal
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Xingbao Wu (1995)
Annales Polonici Mathematici
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A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.