On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations

By Daqing Jiang, J. J. Nieto, Wenjie Zuo. 2004

94 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/79aff6262a2893497dcc0efa05c27c5cb8041d9b

How researchers see this paper

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In Applied Mathematics

1. Xiping Liu
2. Haiqin Fang
3. Legang Lin

In Numerical Analysis

1. Xiping Liu
2. Haiqin Fang
3. Legang Lin

Citations in the corpus

• Method of upper and lower solutions for fractional differential equations (2012, methodology): “The theory of upper and lower solutions is known to be an effective method to deal with the boundary-value problems of the ordinary differential equations and functional differential equations, (see [14, 15, 16, 17, 18, 19, 20, 21, 22]).”