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Bulletin of the London Mathematical Society Advance Access originally published online on February 20, 2008
Bulletin of the London Mathematical Society 2008 40(1):143-150; doi:10.1112/blms/bdm110
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© 2008 London Mathematical Society

Impulsive periodic solutions of first-order singular differential equations

Jifeng Chu

Department of Applied Mathematics
College of Science
Hohai University
Nanjing 210098
PR China
Department of Mathematical Sciences
Tsinghua University
Beijing 100084
PR China

Juan J. Nieto

Departamento de Análisis Matemático
Facultad de Matemáticas
Universidad de Santiago de Compostela
Santiago de Compostela 15782
Spain
amnieto@usc.es

Received 26 March 2007. Revision received 3 July 2007.

In this work, we study the impulsive periodic solutions of first-order singular ordinary differential equations. The proof is based on a nonlinear alternative principle of Leray–Schauder, together with a truncation technique. Some recent results in the literature are generalized and improved.

2000 Mathematics Subject Classification 34B15, 34B37.

Jifeng Chu was supported by the National Basic Research Program of China (grant no. 2006CB805903) and the National Natural Science Foundation of China (grant no. 10325102 and 10531010). Juan J. Nieto was partially supported by Ministerio de Educación y Ciencia and FEDER, project MTM2004-06652-C03-01, and Xunta de Galicia and FEDER, project PGIDIT05PXIC20702PN.


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