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The invertibility of the operator d/dt + A(t) in the space of bounded functions

✍ Scribed by V. V. Zhikov; V. M. Tyurin

Publisher: SP MAIK Nauka/Interperiodica
Year: 1976
Tongue: English
Weight: 242 KB
Volume: 19
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01147619

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## Abstract Let __I__, __J__ ⊂ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ × __J__ → ℝ, __H__ (__φ__)(__x__) ≔ __h__ (__x__, __φ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,