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Stability Criteria for Nonlinear Volterra Integro-Dynamic Systems |
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PP: 1509-1517 |
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doi:10.18576/amis/110530
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Author(s) |
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Awais Younus,
Donal O’Regan,
Nusrat Yasmin,
Safia Mirza,
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Abstract |
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| We study conditions under which the solutions of nonlinear Volterra integro-dynamic system of the form
xD (t) = A(t)x(t)+
Z t
t0
K(t, s, x(s))D s
are stable on certain time scales. We give sufficient and necessary conditions for various types of stability, including uniform stability,
asymptotic stability, exponential asymptotic stability and strong stability. |
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