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Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation

✍ Scribed by Józef Banaś; Wagdy Gomaa El-Sayed


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
819 KB
Volume
167
Category
Article
ISSN
0022-247X

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Uniformly continuous superposition opera
✍ Janusz Matkowski 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB

## 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,