In this paper, we consider Gronwall-Bellman type mtegral inequalities and the corresponding integral equations for scalar functions of several variables involving abstract Lebesque integrals. Some delay and advance effects are also included. Since the inequalities and the equations are m a general f
β¦ LIBER β¦
A generalized lebesgue-type integral
β Scribed by R. J. Easton; D. H. Tucker
- Publisher
- Springer
- Year
- 1969
- Tongue
- English
- Weight
- 741 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0025-5831
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## Abstract Our aim in this paper is to deal with integrability of maximal functions for generalized Lebesgue spaces with variable exponent. Our exponent approaches 1 on some part of the domain, and hence the integrability depends on the shape of that part and the speed of the exponent approaching