Results 41 to 50 of about 57,321 (196)
On Robust Stability of Differential-Algebraic Equations with Structured Uncertainty
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider a linear time-invariant system of differential-algebraic equations (DAE), which can be written as a system of ordinary differential equations with non-invertible coefficients matrices.
A. Kononov
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Lectures on Linear Stability of Rotating Black Holes
, 2019 These lecture notes are concerned with linear stability of the non-extreme Kerr geometry under perturbations of general spin. After a brief review of the Kerr black hole and its symmetries, we describe these symmetries by Killing fields and work out the ...
AA Starobinsky +15 more
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Bulletin des Sciences Mathématiques, 2013 Abstract We consider a class of functional differential equations with variable impulses and we establish new stability results. We discuss the variational stability and variational asymptotic stability of the zero solution of a class of generalized ordinary differential equations where our impulsive functional differential equations can be embedded ...
Afonso, S.M. +3 more
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Stability of solutions for systems of delayed parabolic equations
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study is devoted to the analysis of stability in the sense Lyapunov steady state solutions for systems of linear parabolic equations with coefficients depending on time, and with delays depending on time.
Il'ya V. Boykov
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Shape analysis of an adaptive elastic rod model [PDF]
, 2005 We analyze the shape semiderivative of the solution to an asymptotic nonlinear adaptive elastic rod model, derived in Figueiredo and Trabucho [Math. Mech. Solids, 9 (2004), pp. 331–354], with respect to small perturbations of the cross section. The rod
Figueiredo, Isabel +2 more
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Stability theorems of perturbed linear ordinary differential equations
Journal of Mathematical Analysis and Applications, 1990 The paper refers to the stability of \(dx/dt=A(t)x+f(t,x)\) with a ``large'' perturbation basically satisfying \(\| f(t,x)\| \leq F(t,\| x\|)\) with F monotone increasing in the second variable. The theorems significantly extend many classical results. The proofs essentially use integral inequalities.
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Bifurcation of multi-bump homoclinics in systems with normal and slow variables
Electronic Journal of Differential Equations, 2000 Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
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MathematicsThis study presents a differential geometric framework for Hamiltonian systems expressed in terms of first-order differential equations. For systems governed by second-order ordinary differential equations on tangent bundles, such as Euler–Lagrange ...
Yuma Hirakui, Takahiro Yajima
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Robust Controllability of Non-Stationary Differential-Algebraic Equations [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 We consider linear time-varying system of first order ordinary differential equations with identically degenerate matrix of the derivative of the unknown function. Such systems are called differential-algebraic equations (DAE).
P.S. Petrenko
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The stability of Cohen–Grossberg neural networks with time dependent delays
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The study is devoted to the analysis of stability in the sense Lyapunov Cohen-Grossberg neural networks with time-dependent delays. To do this, we study the stability of the steady-state solutions of systems of linear differential equations ...
Il'ya V. Boykov +2 more
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