Periodic solutions to singular damped delay differential equations with impulses (Q2289529)
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| English | Periodic solutions to singular damped delay differential equations with impulses |
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Periodic solutions to singular damped delay differential equations with impulses (English)
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23 January 2020
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Summary: In this paper, we discuss the existence of periodic solutions for nonautonomous second-order damped delay differential equations with singular non-linearities, in presence of impulsive effects. Simple sufficient conditions are provided that enable us to obtain positive periodic solutions. Our approach is based on a variational method. Some recent results in the literature are extended.
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delay differential equation
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impulses
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mountain-pass theorem
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periodic solution
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singular non-linearity
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