On the Stability and Null-Controllability of an Infinite System of Linear Differential Equations [0.03%]
关于线性微分方程组的稳定性与零可控性
Abdulla Azamov,Gafurjan Ibragimov,Khudoyor Mamayusupov et al.
Abdulla Azamov et al.
In this work, the null controllability problem for a linear system in ℓ2 is considered, where the matrix of a linear operator describing the system is an infinite matrix with λ∈ℝ on the main diagonal and 1s above it. We sh...
Gioacchino Antonelli,Enrico Le Donne,Sebastiano Nicolussi Golo
Gioacchino Antonelli
In this paper we discuss the convergence of distances associated to converging structures of Lipschitz vector fields and continuously varying norms on a smooth manifold. We prove that, under a mild controllability assumption on the limit ve...
The Ball-Box Theorem for a Class of Corank 1 Non-differentiable Tangent Subbundles [0.03%]
一类亏格1不可微切子丛的球盒定理
Sina Türeli
Sina Türeli
We show that an analogue of the ball-box theorem holds true for a class of corank 1, non-differentiable tangent subbundles that satisfy a geometric condition. We also we give examples of such bundles and give an application to dynamical sys...
Nonlinear, Nonhomogeneous Periodic Problems with no Growth Control on the Reaction [0.03%]
无反应增长控制的非线性有源周期问题
Leszek Gasiński,Nikolaos S Papageorgiou
Leszek Gasiński
We consider a nonlinear periodic problem driven by a nonhomogeneous differential operator, which includes as a particular case the scalar p-Laplacian. We assume that the reaction is a Carathéodory function which admits time-dependent zeros...