Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 4, Issue 3, Pages 414-424Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2009.10.005
Keywords
Quadratic differential equation; Existence theorem; Differential inequalities; Comparison principle
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In this paper, an existence theorem for hybrid nonlinear differential equations is proved under mixed Lipschitz and Caratheodory conditions. Some fundamental differential inequalities are also established which are utilized to prove the existence of extremal solutions and a comparison result. (C) 2009 Elsevier Ltd. All rights reserved.
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