Lipovan, Olivia (2000) A retarded Gronwall-like inequality and its applications. Journal of Mathematical Analysis and Applications, 252 (1). pp. 389-401. ISSN 0022-247X.
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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 results.
|Uncontrolled keywords:||integral inequality; retarded differential equation; global existence; nonoscillatory solution|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Olivia Constantin|
|Date Deposited:||12 Oct 2012 12:54|
|Last Modified:||01 Mar 2013 09:13|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/31641 (The current URI for this page, for reference purposes)|
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