Real Analysis II · Power Series & Capstones
Neumann series integral equation
Problem
Let g be continuous on [0,1] and λ∈ℝ. Solve f(x)=g(x)+λ∫_0^x f(t)dt on [0,1] by an iterated series and prove uniform convergence and uniqueness.
Hint
Write the definitions and domain restrictions for “Neumann series integral equation” before performing the main calculation.
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