Question
Exercise 3.6 The following integral equation for f: [-a, a] R arises in a model of the motion of gas particles on a line:
Exercise 3.6 The following integral equation for f: [-a, a] R arises in a model of the motion of gas particles on a line: f(x) = 1 + = - - 1 1 + (x y) f (y) dy for -a x a. Prove that this equation has a unique bounded, continuous solution for every 0 < a < x. Prove that the solution is nonnegative. What can you say if a = ?
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Applied Regression Analysis And Other Multivariable Methods
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
5th Edition
1285051084, 978-1285963754, 128596375X, 978-1285051086
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