Continuous dependence for integrodifferential equations with infinite delay |
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Authors: | K Balachandran A Anguraj |
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Institution: | 1. Department of Mathematics, Bharathiar University, 641046, Coimbatore, India
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Abstract: | Continuous dependence for integrodifferential equation with infinite delay $$\begin{gathered} \dot x = h(t,x) + \int_{ \sim \infty }^t {q(t,s,x(s))ds} + F(t,x(t),Sx(t))t \geqslant 0 \hfill \\ x(t) = \Phi (t) \hfill \\ \end{gathered} $$ where \(Sx(t) = \int_{ \sim \infty }^t {k(t,s,x(s))} ds\) is studied under the assumption of existence of unique solution. |
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