Solvability for second order nonlinear impulsive boundary value problems.
Yang, Dandan, Li, Gang (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yang, Dandan, Li, Gang (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Chen, Y.Q., O'Regan, D., Wang, F.L., Zhou, S.L. (2009)
Boundary Value Problems [electronic only]
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Tiziana Cardinali, Raffaella Servadei (2004)
Open Mathematics
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In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].
Xing, Yepeng, Romanovski, Valery (2008)
Boundary Value Problems [electronic only]
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Li, Jianli, Nieto, Juan J. (2009)
Boundary Value Problems [electronic only]
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Graef, John R., Ouahab, Abdelghani (2006)
International Journal of Mathematics and Mathematical Sciences
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Zhi, Guizhen, Zhao, Liang, Chen, Guangxia, Wang, Shujuan, Zhang, Qihu (2010)
Journal of Inequalities and Applications [electronic only]
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Aydin Huseynov (2011)
Applications of Mathematics
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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Yuji Liu (2009)
Applications of Mathematics
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This paper deals with the periodic boundary value problem for nonlinear impulsive functional differential equation We first present a survey and then obtain new sufficient conditions for the existence of at least one solution by using Mawhin’s continuation theorem. Examples are presented to illustrate the main results.