On the integrability of solutions of non-autonomous differential equations of second order with multiple variable deviating arguments (Q2917768)

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scientific article; zbMATH DE number 6089005
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On the integrability of solutions of non-autonomous differential equations of second order with multiple variable deviating arguments
scientific article; zbMATH DE number 6089005

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    1 October 2012
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    second-order non-autonomous differential equations
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    quadratic integrable
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    multiple deviating arguments
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    On the integrability of solutions of non-autonomous differential equations of second order with multiple variable deviating arguments (English)
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    A non-autonomous differential equation of second order with multiple variable deviating arguments is considered. Using a time varying delay Lyapunov-Krasovskii functional, the authors prove a new result for the quadratic integrability of solutions. An example is also considered to illustrate the obtained result.
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