Abstract

The following model p(t)u′(t)−p(0)β−∫0t((gu)(s)+∑i=1m(ξi(s)x(νi(s))−ψi(s)x(μi(s))))dQ(s)=−F(t)of the Stieltjes string on the segment [0,l] with a nonlocal initial value condition u(0)=α is considered. D-stability conditions of the unique solution of the mentioned problem are established. Also, example is presented.

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