New comparison results for impulsive integro-differential equations and applications |
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| Authors: | Juan J Nieto |
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| Institution: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain |
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| Abstract: | We prove some new maximum principles for ordinary integro-differential equations. This allows us to introduce a new definition of lower and upper solutions which leads to the development of the monotone iterative technique for a periodic boundary value problem related to a nonlinear first-order impulsive integro-differential equation. |
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| Keywords: | Maximum principle Impulsive integro-differential equation Periodic boundary value problem Upper and lower solution Monotone method |
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