Results 11 to 20 of about 2,994 (165)
Neumann problems for nonlinear elliptic equations with $L^1$ data [PDF]
, 2014 In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is \begin{equation*} \begin{cases} -\Delta_{p} u -\text{div} (c(x)|u|^{p-2}u)) =f & \text{in}\ \Omega, \\ \left( |\nabla u|^{p-2 ...
Betta, Maria Francesca +2 more
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Improved Stability Method for Linear Time-Varying Delay Systems
IEEE Access, 2018 In this paper, we consider the stability of the system with time-varying delay. By partitioning the delay interval and taking account of the triple integral term, a new augmented Lyapunov-Krasovskii function (LKF) is proposed.
Zhanshan Zhao +3 more
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Solving systems of phaseless equations via Kaczmarz methods: A proof of concept study [PDF]
, 2015 We study the Kaczmarz methods for solving systems of quadratic equations, i.e., the generalized phase retrieval problem. The methods extend the Kaczmarz methods for solving systems of linear equations by integrating a phase selection heuristic in each ...
Wei, Ke
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Lyapunov and Wirtinger inequalities
Applied Mathematics Letters, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, Chung-Fen +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we establish a Picone-type inequality for a class of some nonlinear elliptic type equations with damped terms, and obtain Sturmian comparison theorems using the Picone-type inequality.
Aydin Tiryaki, Sinem Sahiner
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Evaluation of Delays-based Stability of LFC Systems in the Presence of Electric Vehicles Aggregator [PDF]
Journal of Operation and Automation in Power Engineering, 2022 In the integrated electrical systems, frequency control service considering the electric vehicle (EV) aggregators could lead to time-varying delay in load frequency control (LFC) schemes.
F. Babaei, A. Safari, J. Salehi
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Existence of minimizers for the $2$d stationary Griffith fracture model [PDF]
, 2016 We consider the variational formulation of the Griffith fracture model in two spatial dimensions and prove existence of strong minimizers, that is deformation fields which are continuously differentiable outside a closed jump set and which minimize the ...
Conti, Sergio +2 more
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Synchronization approach for chaotic time-varying delay system based on Wirtinger inequality
Advances in Mechanical Engineering, 2017 A novel control approach based on Wirtinger inequality is designed for nonlinear chaos synchronization time delay system. In order to reduce the conservatism for the stability criterion, a Lyapunov–Krasovskii functional with triple-integral term is ...
Zhanshan Zhao +3 more
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An optimal Poincaré-Wirtinger inequality in Gauss space [PDF]
Mathematical Research Letters, 2013 Let $ $ be a smooth, convex, unbounded domain of $\R^N$. Denote by $ _1( )$ the first nontrivial Neumann eigenvalue of the Hermite operator in $ $; we prove that $ _1( ) \ge 1$. The result is sharp since equality sign is achieved when $ $ is a $N$-dimensional strip.
BRANDOLINI, BARBARA +3 more
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Nonoscillation of higher order half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We establish nonoscillation criteria for even order half-linear differential equations. The principal tool we use is the Wirtinger type inequality combined with various perturbation techniques.
Ondrej Dosly, Vojtěch Růžička
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