Volterra 2nd-kind: φ(x) = g(x) + λ∫_a^x K(x,y)φ(y) dy always solvable

Layer 0 — Mathematicsin the integral-equations subtree

Volterra 1896 — the 2nd-kind Volterra integral equation φ(x) = g(x) + λ·∫_a^x K(x,y)·φ(y) dy (variable upper limit, i.e. causal kernel) with continuous K has a unique continuous solution for every λ ∈ ℂ, obtained by Picard iteration: φ_0 =…

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