Asymptotic behavior of unbounded solutions of linear Volterra integral equations |
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Authors: | G.S Jordan Robert L Wheeler |
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Affiliation: | 1. Department of Mathematics, Iowa State University, Ames, Iowa 50010, USA |
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Abstract: | The asymptotic behavior as t → ∞ of solutions of ∝0tu(t ? s) dA(s) = f(t) is studied when f(t) satisfies a “o” estimate as , and A belongs to a weighted space and its Laplace-Stieltjes transform has finitely many zeros in its closed half-plane of convergence. Results for systems of integral equations as well as for integrodifferential systems are also given. |
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