On minimizing the sum of squares of norms of differential operators under constraints
Richard C. Brown, Allan M. Krall (1977)
Czechoslovak Mathematical Journal
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Richard C. Brown, Allan M. Krall (1977)
Czechoslovak Mathematical Journal
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Richard C. Brown, Milan Tvrdý (1980)
Czechoslovak Mathematical Journal
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Jean-Pierre Aubin (1970)
Rendiconti del Seminario Matematico della Università di Padova
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Emil Vitásek (2000)
Applications of Mathematics
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It is well-known that the idea of transferring boundary conditions offers a universal and, in addition, elementary means how to investigate almost all methods for solving boundary value problems for ordinary differential equations. The aim of this paper is to show that the same approach works also for discrete problems, i.e., for difference equations. Moreover, it will be found out that some results of this kind may be obtained also for some particular two-dimensional problems. ...