L. Hall, S. Hristova (2004)
Open Mathematics
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The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.
He, Xiaofei, Xie, Jingli, Chen, Guoping, Shen, Jianhua (2010)
International Journal of Differential Equations
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Alzer, H. (1993)
Acta Mathematica Universitatis Comenianae. New Series
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Song, Zhanjie, Wang, Ping, Xie, Weisong (2009)
Journal of Inequalities and Applications [electronic only]
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Yang, Xuxin, He, Zhimin, Shen, Jianhua (2009)
Mathematical Problems in Engineering
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Eduardo Liz, Juan J. Nieto (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.
Doddaballapur, Vidya, Eloe, Paul W., Zhang, Yongzhi (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Babakhani, A., Enteghami, E. (2009)
Abstract and Applied Analysis
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De Malafosse, Bruno (2003)
International Journal of Mathematics and Mathematical Sciences
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Melton, Tanya G., Vatsala, A.S. (2006)
Boundary Value Problems [electronic only]
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