Positive solutions for vector differential equations

Wang, Yan

doi:10.1090/S0002-9939-2013-11686-2

Positive solutions for vector differential equations
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Proc. Amer. Math. Soc. 141 (2013), 4261-4274 Request permission

Abstract:

In this paper, we are concerned with the existence and multiplicity of positive periodic solutions for first-order vector differential equations. By using the Leray-Schauder alternative theorem and the Kransnosel’skii fixed point theorem, we show that the differential equations under the periodic boundary value conditions have at least two positive periodic solutions.

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