Results 21 to 30 of about 25,247 (223)

A Lyapunov-type inequality for a -Laplacian operator

Nonlinear Analysis: Theory, Methods & Applications, 2011
For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
Sanchez, Justino, Vergara, Vicente
openaire   +6 more sources

Novel Lagrange sense exponential stability criteria for time-delayed stochastic Cohen–Grossberg neural networks with Markovian jump parameters: A graph-theoretic approach

Nonlinear Analysis, 2020
This paper concerns the issues of exponential stability in Lagrange sense for a class of stochastic Cohen–Grossberg neural networks (SCGNNs) with Markovian jump and mixed time delay effects.
Iswarya Manickam, Raja Ramachandran, Grienggrai Rajchakit, Jinde Cao, Chuangxia Huang   +4 more
doaj   +1 more source

ON FINITE DIFFERENCE INEQUALITY OF LYAPUNOV TYPE

Tamkang Journal of Mathematics, 1992
ON FINITE DIFFERENCE INEQUALITY OF LYAPUNOV TYPE
Yang, Gou-Sheng, Huang, Shiow-Fu
openaire   +3 more sources

Dynamics in a Nonautonomous Nicholson-Type Delay System

Journal of Mathematics, 2021
A kind of Nicholson-type delay system is considered. Several conditions on the ultimate boundedness, extinction, permanence, periodic solution, and global attractivity of the system are established by employing the inequality techniques and comparison ...
Ahmadjan Muhammadhaji, Azhar Halik
doaj   +1 more source

Lyapunov‐Type Inequalities for the Quasilinear Difference Systems

Discrete Dynamics in Nature and Society, 2012
We establish several Lyapunov‐type inequalities for quasilinear difference systems, which generalize or improve all related existing ones. Applying these results, we also obtain some lower bounds for the first eigencurve in the generalized spectra.
Qi-Ming Zhang, X. H. Tang
openaire   +2 more sources

Exponential Stability of Leakage Delay and Semi-Markovian Jump for Neutral-Type Neural Network

IEEE Access, 2020
In this paper, a suitable Lyapunov-Krasovskii functional together with the inequality analysis technique for neutral-type system, and sufficient exponential stability conditions are proposed in the form of linear matrix inequalities (LMIs).
Yan Gao, Fengjiao Gu, Carlo Cattani, Wanqing Song   +3 more
doaj   +1 more source

A Novel Delay-Product-Type Functional Method to Extended Dissipativity Analysis for Markovian Jump Neural Networks

IEEE Access, 2021
This paper studies the problem of extended dissipativity analysis for Markovian jump neural networks (MJNNs) with time-varying delay. Combining Wirtinger-based double integral inequality and S-procedure lemma, a novel double integral-based delay-product ...
Xiaoping Huang, Caiyun Wu, Yuzhong Wang, Wendong Li   +3 more
doaj   +1 more source

Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures

Journal of Function Spaces, 2019
The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures ...
Ting Xie, Zengtai Gong
doaj   +1 more source

Lyapunov-type inequalities for partial differential equations

Journal of Functional Analysis, 2016
In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $Ω$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace operator with zero Dirichlet boundary condition.
Pablo L. de Nápoli, Juan P. Pinasco
openaire   +4 more sources

A Generalized Lyapunov Inequality for a Pantograph Boundary Value Problem Involving a Variable Order Hadamard Fractional Derivative

Mathematics, 2023
The authors obtain existence and uniqueness results for a nonlinear fractional pantograph boundary value problem containing a variable order Hadamard fractional derivative. This type of model is appropriate for applications involving processes that occur
John R. Graef, Kadda Maazouz, Moussa Daif Allah Zaak   +2 more
doaj   +1 more source