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.