We prove a Gronwall-like inequality and present some of its applications to the qualitative study of retarded differential equations. The problems of global continuation of the solutions and the existence of nonoscillatory solutions are considered. By means of examples we show the usefulness of our
โฆ LIBER โฆ
A Functional Inequality and Its Applications
โ Scribed by S.S. Dragomir; B. Mond; J.E. Pecaric
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 218 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
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## Abstract This paper deals with an improvement of a class of the TrudingerโMoser inequality with a singular weight associated to the embedding of the standard Sobolev space __H__^1^~0~(ฮฉ) into Orlicz spaces for any smooth domain \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyl