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Representation Stability and Finite Orthogonal Groups
In this paper, we prove homological stability results about orthogonal groups over finite commutative rings where 2 is a unit. Inspired by Putman and...
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Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation
In this paper we consider a system of non-linear integro-differential equations (IDEs) describing evolution of a clonally heterogeneous population of...
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On the local stability of semidefinite relaxations
We consider a parametric family of quadratically constrained quadratic programs and their associated semidefinite programming (SDP) relaxations....
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Homogeneity-Based Exponential Stability Analysis for Conformable Fractional-Order Systems
We study the exponential stability of homogeneous fractional time-varying systems and the existence of Lyapunov homogeneous function for the...
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On the Nature of Local Bifurcations of the Kuramoto–Sivashinsky Equation in Various Domains
We consider a nonlinear parabolic partial differential equation in the case where the unknown function depends on two spatial variables and time,...
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Mittag-Leffler stability and Lyapunov stability for a problem arising in porous media
A fractional order problem arising in porous media is considered. Well-posedness as well as stability are discussed. Mittag-Leffler stability is...
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Local projection stabilized finite element methods for advection–reaction problems
An a priori analysis for generalized local projection stabilized finite element approximations for the solution of an advection–reaction equation is...
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On the Existence and Stability of 2D Compressible Current-Vortex Sheets
We study the existence and the stability of two-dimensional current-vortex sheets in ideal compressible magnetohydrodynamics. Under a suitable...
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Correction to: A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations
The article “A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations” written by Sergey Dashkovskiy,...
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Effects of Kelvin–Voigt Dam** on the Stability of (Thermo)Elastic Timoshenko System with Second Sound
In this paper, we investigate the stabilization of Timoshenko systems with or without Kelvin–Voigt dam**, in the presence of second sound. We have...
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Local Bifurcations of Invariant Manifolds of the Cahn–Hilliard–Oono Equation
AbstractOur aim is to examine a periodic boundary value problem for the Cahn–Hilliard–Oono equation. This equation appeared as one of the possible...
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Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes
Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinuous Galerkin discretizations have robustness...
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Lyapunov stability of the subgradient method with constant step size
We consider the subgradient method with constant step size for minimizing locally Lipschitz semi-algebraic functions. In order to analyze the...
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Mixed sequential type pantograph fractional integro-differential equations with non-local boundary conditions
In this paper, we investigate the existence, uniqueness and stability of solutions to the mixed sequential pantograph fractional integro-differential...
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A Faber-Krahn inequality for mixed local and nonlocal operators
We consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator and we establish a quantitative Faber-Krahn...
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Orbital stability of two-component peakons
We prove that the two-component peakon solutions are orbitally stable in the energy space. The system concerned here is a two-component Novikov...
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Dynamics of simplicial SEIRS epidemic model: global asymptotic stability and neural Lyapunov functions
The transmission of infectious diseases on a particular network is ubiquitous in the physical world. Here, we investigate the transmission mechanism...
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Stability for Parametric Control Problems of PDEs via Generalized Differentiation
This paper investigates the mathematical programming formulation of semilinear elliptic optimal control problems with finitely many state...
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Second-Order Variational Analysis in Optimization, Variational Stability, and Control Theory, Algorithms, Applications
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variat...