Asymptotic behavior of solutions of a class of integral equations (Q2387080)

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Asymptotic behavior of solutions of a class of integral equations
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    Asymptotic behavior of solutions of a class of integral equations (English)
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    26 August 2005
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    The authors provide conditions guaranteing the fact that the solution of the equation \[ x(t)=\int_0^t\sum_{j=1}^{n}K_j(t-s)a_j(s)x(s)ds+f(t) \] with complex valued coefficients admits a representation of the form \(x(t)=\sum_{j=1}^re^{\lambda_jt}(t+1)^{\alpha_j}b_j(t).\)
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    delay integral equations
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    special solutions
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    asymptotic behavior
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