On Lyapunov-type inequality for a class of quasilinear systems
, 2014 Devrim Çakmak
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Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives [PDF]
, 2018 Thabet Abdeljawad +4 more
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Quantitative lower bounds on the Lyapunov exponent from multivariate matrix inequalities [PDF]
, 2022 Marius Lemm, David Sutter
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Lyapunov-type inequalities for a class of nonlinear higher order differential equations
, 2019 Haofan Wang, Xu Guo, Jun Zheng
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On the Existence of Block-Diagonal Solutions to Lyapunov and ${\mathcal {H}_\infty }$ Riccati Inequalities [PDF]
, 2019 Aivar Sootla +2 more
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Hartman-Wintner and Lyapunov-type inequalities for high order fractional boundary value problems
, 2020 Şuayip Toprakseven
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Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems [PDF]
, 2015 Peter Benner +2 more
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A generalized Lyapunov-type inequality in the frame of conformable derivatives [PDF]
, 2017 Thabet Abdeljawad +2 more
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Optimal Lyapunov inequalities for boundary value problems [PDF]
, 2009 A. Cañada, Salvador Villegas
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Lyapunov-type inequalities for \(n\)-dimensional quasilinear systems
Electronic Journal of Differential Equations, 2013 Summary: We prove generalized Lyapunov-type inequalities for a special case of the system \[ -(r_k(x) \phi_{p_k}(u_k'))'= f_k(x) \phi_{\alpha_{kk}}(u_k) \prod^n_{i=1,\,i\neq k} |u_i|^{\alpha_{ki}},\tag{1} \] where \(n\in\mathbb{N}\), \(\phi_\gamma(u)= |u|^{\gamma-2} u\), \(\gamma> 1\), \(r_k\), \(f_k\in C([a,b], \mathbb{R})\), \(r_k(x)> 0\) for \(k= 1 ...
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