The integral equation dt has infinitely many solutions if
Part CCSIR NET December 2024one-moment-decides-between-none-and-infinitely-many
One moment decides between none and infinitely many
Related counterexample: Every integral equation of the second kind has a unique solution
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The chapter behind this: Integral equations: Fredholm vs Volterra — free to read
From Linear Integral Equations › Fredholm and Volterra equations