On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations |
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| Authors: | Daqing Jiang Juan J. Nieto Wenjie Zuo |
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| Affiliation: | a Department of Mathematics, Northeast Normal University, Changchun, Jilin 130024, PR China
b Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain |
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| Abstract: | In this paper, we show that the method of monotone iterative technique is valid to obtain two monotone sequences that converge uniformly to extremal solutions of first and second order periodic boundary value problems and periodic solutions of functional differential equations. We obtain some new results relative to the lower solution α and upper solution β with α?β. |
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| Keywords: | Periodic boundary value problem Periodic solution Existence Upper and lower solutions Monotone iterative technique |
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