On projective methods of approximate solution of singular integral equations.
Jishkariani, A., Khvedelidze, G. (1996)
Georgian Mathematical Journal
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Jishkariani, A., Khvedelidze, G. (1996)
Georgian Mathematical Journal
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Zuzana Došlá, PierLuigi Zezza (1992)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we introduce the definition of coupled point with respect to a (scalar) quadratic functional on a noncompact interval. In terms of coupled points we prove necessary (and sufficient) conditions for the nonnegativity of these functionals.
G. E. Okecha (2006)
Kragujevac Journal of Mathematics
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Domoshnitsky, A. (1994)
Georgian Mathematical Journal
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Kiguradze, I., Půža, B., Stavroulakis, I.P. (2001)
Georgian Mathematical Journal
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Zuzana Došlá, Ondřej Došlý (1995)
Commentationes Mathematicae Universitatis Carolinae
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Singular quadratic functionals of one dependent variable with nonseparated boundary conditions are investigated. Necessary and sufficient conditions for nonnegativity of these functionals are derived using the concept of and . The paper also includes two comparison theorems for coupled points with respect to the various boundary conditions.
Saginashvili, A. (2001)
Georgian Mathematical Journal
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