On convergence of derivatives of linear combinations of modified Lupas operators.
Agrawal, P.N., Gupta, Vijay, Sahai, A. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Agrawal, P.N., Gupta, Vijay, Sahai, A. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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Bogdan Rzepecki (1987)
Commentationes Mathematicae Universitatis Carolinae
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Vladimir Janković (1998)
The Teaching of Mathematics
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Ilija Lazarević, Alexandru Lupas (1975)
Publications de l'Institut Mathématique
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Jemal Peradze (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by...
Ondřej Došlý, Jaroslav Jaroš (2003)
Archivum Mathematicum
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We extend the classical Leighton comparison theorem to a class of quasilinear forced second order differential equations where the endpoints , of the interval are allowed to be singular. Some applications of this statement in the oscillation theory of (*) are suggested.