SOLVED: (10 points). a| On the basis of the existence theorem (Peano) determine whether the initial value problem d 2 +y2/3 y (0) = 0 has at least one solution. Explain. b)
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A NOTE ON EXISTENCE THEOREM OF PEANO 1. main Theorem Equip the space Rm = {x = (x1,...,xm)} with a norm ∥x∥ = max |xk|. Let
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![real analysis - Problem In Cauchy-Peano proof : why $\int_{t_0}^t C|u(s)-v(s)|ds\leq L(t-t_0)\max_{[t_0,t]}|u(s)-v(s)|$? - Mathematics Stack Exchange](https://i.stack.imgur.com/Gs5YR.png "real analysis - Problem In Cauchy-Peano proof : why $\int_{t_0}^t C|u(s)-v(s)|ds\leq L(t-t_0)\max_{[t_0,t]}|u(s)-v(s)|$? - Mathematics Stack Exchange")
real analysis - Problem In Cauchy-Peano proof : why $\int_{t_0}^t C|u(s)-v(s)|ds\leq L(t-t_0)\max_{[t_0,t]}|u(s)-v(s)|$? - Mathematics Stack Exchange
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LECTURE 3 1. The Peano existence theorem As in last lecture we formulate the results for scalar valued equations. However, just
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ON THE NONEXISTENCE OF SOLUTIONS OF DIFFERENTIAL EQUATIONS IN NONREFLEXIVE SPACES1 We consider the problem of the existence of s
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