List questions from stability-theory

35

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With $A=A^T$, $Ax=b$ is solved backward stably for $x$ yielding computed $y$. Show that $y / | y |$ is close to $x / | x |$.

Published on 04 Dec 2023 - 6:40

85

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Bifurcation Analysis of Non-autonomous system

Published on 26 Mar 2026 - 11:03

18

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LaSalle's invariance principle for positive semi definite V

Published on 07 Dec 2023 - 0:52

97

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Determine stability of non-hyperbolic stationary point

Published on 23 Feb 2026 - 9:29

55

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Find a Lyapunov function for this nonlinear system

Published on 26 Mar 2026 - 14:40

88

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Well-Posed ODEs

Published on 12 Dec 2023 - 21:47

57

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How do I solve this problem with Lyapunov functions?

Published on 26 Mar 2026 - 19:29

70

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Estimate solution of nonlinear differential equation by linear differential inequality

Published on 22 Dec 2023 - 13:53

38

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How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Published on 25 Mar 2026 - 17:33

57

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Numerical stability of spherical Bessel recurrence relation

Published on 25 Dec 2023 - 7:21

49

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Find a stable numerical solution of differential equation $y''=g(x)y$

Published on 03 Jan 2024 - 14:38

66

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A delayed differential equation system and its characteristic polynomial

Published on 25 Mar 2026 - 21:46

69

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Question about Cetaev Theorem

Published on 26 Mar 2026 - 17:52

43

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from local stability to global stability

Published on 26 Mar 2026 - 16:04

44

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Lyapunov matrix equation theorem

Published on 13 Jan 2024 - 16:55

List Question

With $A=A^T$, $Ax=b$ is solved backward stably for $x$ yielding computed $y$. Show that $y / | y |$ is close to $x / | x |$.

Bifurcation Analysis of Non-autonomous system

LaSalle's invariance principle for positive semi definite V

Determine stability of non-hyperbolic stationary point

Find a Lyapunov function for this nonlinear system

Well-Posed ODEs

How do I solve this problem with Lyapunov functions?

Estimate solution of nonlinear differential equation by linear differential inequality

How is this stability bound for the unique interpolant possible? $|s^*(x)|^2\le K(x,x)\|f\|_K\text{cond}_2(G_S)$

Numerical stability of spherical Bessel recurrence relation

Find a stable numerical solution of differential equation $y''=g(x)y$

A delayed differential equation system and its characteristic polynomial

Question about Cetaev Theorem

from local stability to global stability

Lyapunov matrix equation theorem

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