Equilateral, diametral, centered sets and subsets of spheres.
Pier Luigi Papini (2004)
Extracta Mathematicae
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Displaying similar documents to “On an integral equation with modified argument.”
Equilateral, diametral, centered sets and subsets of spheres.
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
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.
The use of Lyapunov functions in uniqueness and nonuniqueness theorems
Josef Kalas (2000)
Archivum Mathematicum
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Qualitative investigation of nonlinear differential equations describing infiltration of water
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.
A two-dimensional Hammerstein problem: The linear case.
Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On a characterization of the unit interval in terms of clones
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.
The boundedness principle for lattice-normed spaces.
Gutman, A.E., Lisovskaya, S.A. (2009)
Sibirskij Matematicheskij Zhurnal
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An abstract nonlinear second order differential equation
Jan Bochenek (1991)
Annales Polonici Mathematici
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of a semilinear second order differential initial value problem (1) as well as the existence of solutions of the linear inhomogeneous problem corresponding to (1) are proved. The main result of the paper is contained in Theorem 5.