Asymptotic solutions of linear Volterra integral equations with singular kernels
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- by J. S. W. Wong and R. Wong PDF
- Trans. Amer. Math. Soc. 189 (1974), 185-200 Request permission
Abstract:
Volterra integral equations of the form $u’(t) = - \smallint _0^ta(t - \tau )u(\tau )d\tau ,u(0) = 1$, are considered, where $a(t) \in C(0,\infty ) \cap {L_1}(0,1)$. Explicit asymptotic forms are obtained for the solutions, when the kernels $a(t)$ have a specific asymptotic representation.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 189 (1974), 185-200
- MSC: Primary 45M05
- DOI: https://doi.org/10.1090/S0002-9947-1974-0338718-0
- MathSciNet review: 0338718