Positive Solutions of Initial Value Problem for the Systems of Second Order Integro-Differential Equations in Banach Space

In this paper, by establishing a new comparison result, we investigate the existence of positive solutions for initial value problems of nonlinear systems of second order integro-differential equations in Banach space.We improve and generalize some results  (see[5,6]), and the results is new even in finite dimensional spaces.

• Lv Yuhua

• Systems of integro-differential equations
• monotone iterative method
• comparison result
• cone.

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