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4. Show that the map K: [1, o) → [1, ∞0) defined by 1 t dt K(x) = 3 e 2 is a contraction in the norm defined by absolute value on R.

4. Show that the map K: [1, o) → [1, ∞0) defined by 1 t dt K(x) = 3 e 2 is a contraction in the norm defined by absolute value on R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Topology, Thanks for the help.

4. Show that the map K: [1, x) → [1, ∞0) defined by 1 K(x) = 3 e-tdt is a contraction in the norm defined by absolute value on R.
Transcribed Image Text:4. Show that the map K: [1, x) → [1, ∞0) defined by 1 K(x) = 3 e-tdt is a contraction in the norm defined by absolute value on R.
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