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Tagged with integral-kernel uniqueness-theorems
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Existence of unique-up-to-shift solution of a Volterra equation
Let Δ={(t,s): 0<s≤t≤1}, and suppose k:Δ→R and f:(0,1]→R are continuous. Further assume that for every t∈(0,1], the function $k(t,\cdot):(0,t]\to\...
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Uniqueness for Volterra equation with initially (linearly) unbounded kernel
Letting D:={(x,y): 0≤x≤y≤1 and y>0}, I have a continuous function k:D→[0,∞) that satisfies some properties that I list below. I'm interested in continuous and ...