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Zbl 1206.34020
Dhage, Bapurao C.; Lakshmikantham, V.
Basic results on hybrid differential equations. (English)
[J] Nonlinear Anal., Hybrid Syst. 4, No. 3, 414-424 (2010). ISSN 1751-570X

Summary: An existence theorem for hybrid nonlinear differential equations is proved under mixed Lipschitz and Carathéodory conditions. Some fundamental differential inequalities are also established which are utilized to prove the existence of extremal solutions and a comparison result.
MSC 2000:
*34A38
34A12 Initial value problems for ODE
34A40 Differential inequalities (ODE)
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: quadratic differential equation; existence theorem; differential inequalities; comparison principle

Cited in: Zbl 1242.34023

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