Singular Volterra integral equations |
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| Institution: | Department of Mathematics, National University of Singapore 10 Kent Ridge Crescent, Singapore 119260;Department of Mathematics, National University of Ireland, Galway, Ireland |
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| Abstract: | Existence results are presented for the singular Volterra integral equation y(t) = h(t) + ∫0t k(t, s) f(s, y(s)) ds, for t ∈ 0,T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem. |
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