Integral bvps for a class of first-order impulsive functional differential equations.

He, Xiaofei; Xie, Jingli; Chen, Guoping; Shen, Jianhua

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Quasilinearization for the periodic boundary value problem for hybrid differential equation

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.

Multipoint BVPs for second-order functional differential equations with impulses.

Yang, Xuxin, He, Zhimin, Shen, Jianhua (2009)

Mathematical Problems in Engineering

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Nonlinear boundary value problem of first-order impulsive functional differential equations.

Zhang, Kexue, Liu, Xinzhi (2010)

Journal of Inequalities and Applications [electronic only]

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Quadratic convergence of approximate solutions to two-point boundary value problems with impulse.

Doddaballapur, Vidya, Eloe, Paul W., Zhang, Yongzhi (1997)

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The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations

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.