Theorem on the union of two topologically flat cells of codimension 1 in .
Chernavsky, A.V. (2006)
Abstract and Applied Analysis
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Chernavsky, A.V. (2006)
Abstract and Applied Analysis
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Panda, G.K., Ray, P.K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Faraci, Francesca, Iannizzotto, Antonio (2008)
Abstract and Applied Analysis
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Dovgoshey, Oleksiy, Riihentaus, Juhani (2010)
International Journal of Mathematics and Mathematical Sciences
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Domenico Mucci (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study the lower semicontinuous envelope with respect to the -topology of a class of isotropic functionals with linear growth defined on mappings from the -dimensional ball into that are constrained to take values into a smooth submanifold of .
Lech Górniewicz (1998)
Archivum Mathematicum
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We shall consider periodic problems for ordinary differential equations of the form where satisfies suitable assumptions. To study the above problem we shall follow an approach based on the topological degree theory. Roughly speaking, if on some ball of , the topological degree of, associated to (), multivalued Poincaré operator turns out to be different from zero, then problem () has solutions. Next by using the multivalued version of the classical Liapunov-Krasnoselskǐ guiding...
Ladislav Matejíčka (2009)
Mathematica Bohemica
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A structure of terms of -faster convergent series is studied in the paper. Necessary and sufficient conditions for the existence of -faster convergent series with different types of their terms are proved. Some consequences are discussed.
Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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