On the Problem of Nonlinear Stabilization of Switched Systems
Sign Up to like & getrecommendations! Published in 2019 at "Circuits, Systems, and Signal Processing"
DOI: 10.1007/s00034-019-01048-7
Abstract: The asymptotic stability and ultimate boundedness of the solutions for nonlinear switched systems is investigated. It is assumed that every mode of the system is unstable. The required behaviour of the switched system is achieved… read more here.
Keywords: stabilization switched; nonlinear stabilization; system; switched systems ... See more keywords
On the Cauchy Problem for Nonlinear Fractional Systems with Lipschitzian Matrices Under the Generalized Metric Spaces
Sign Up to like & getrecommendations! Published in 2024 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-024-01127-4
Abstract: This research paper study the existence, uniqueness and Ulam–Hyers stability of the solutions of a certain system of thegeneralized Caputo fractional differential equations in the context of the generalized metric spaces. The existence and uniqueness… read more here.
Keywords: fractional systems; generalized metric; nonlinear fractional; problem nonlinear ... See more keywords
Arnold tongues in a billiard problem in nonlinear and nonequilibrium systems
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DOI: 10.1016/j.physd.2016.09.003
Abstract: Abstract We study a billiard problem in nonlinear and nonequilibrium systems. This is motivated by the motions of a traveling spot in a reaction–diffusion system (RDS) in a rectangular domain. We consider a four-dimensional dynamical… read more here.
Keywords: billiard problem; system; nonequilibrium systems; problem nonlinear ... See more keywords
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D
Sign Up to like & getrecommendations! Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.03.010
Abstract: Abstract We consider the scattering problem for the nonlinear Schrodinger equation with a potential in two space dimensions. Appropriate resolvent estimates are proved and applied to estimate the operator A ( s ) appearing in… read more here.
Keywords: scattering problem; problem nonlinear; nonlinear schr; equation potential ... See more keywords
On an approximate solution of a boundary value problem for a nonlinear integro-differential equation
Sign Up to like & getrecommendations! Published in 2021 at "Arab Journal of Basic and Applied Sciences"
DOI: 10.1080/25765299.2021.1982500
Abstract: Abstract The aim of this work is to discuss the solvability of a boundary value problem for a nonlinear integro-differential equation. First, we derive an equivalent nonlinear Fredholm integral equation (NFIE) to this problem. Second,… read more here.
Keywords: boundary value; nonlinear integro; problem; equation ... See more keywords
Control Problem for a Nonlinear Distributed Equation
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DOI: 10.1134/s001226611811006x
Abstract: For a distributed second-order differential equation, we consider the problem of constructing a control law ensuring that the solution of this equation tracks the solution of a standard equation subjected to an unknown disturbance. A… read more here.
Keywords: nonlinear distributed; control; control problem; problem nonlinear ... See more keywords
Blow-up of Solutions of the Cauchy Problem for a Nonlinear Schrödinger Evolution Equation
Sign Up to like & getrecommendations! Published in 2018 at "Doklady Mathematics"
DOI: 10.1134/s1064562418070165
Abstract: The solution of the Cauchy problem for a nonlinear Schrödinger evolution equation with certain initial data is proved to blow up in a finite time, which is estimated from above. Additionally, lower bounds for the… read more here.
Keywords: nonlinear schr; cauchy problem; dinger evolution; problem nonlinear ... See more keywords
Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses
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DOI: 10.1155/2021/5592010
Abstract: This article deals with some existence, uniqueness, and Ulam-Hyers-Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained… read more here.
Keywords: nonlinear implicit; value problem; boundary value; problem nonlinear ... See more keywords
Inverse Variational Problem for Nonlinear Dynamical Systems
Sign Up to like & getrecommendations! Published in 2022 at "Acta Physica Polonica A"
DOI: 10.12693/aphyspola.141.64
Abstract: In this paper we have chosen to work with two different approaches to solving the inverse problem of the calculus of variation. The first approach is based on an integral representation of the Lagrangian function… read more here.
Keywords: dynamical systems; oscillator; variational problem; inverse variational ... See more keywords
On the energy decay of a coupled nonlinear suspension bridge problem with nonlinear feedback
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DOI: 10.1515/math-2024-0042
Abstract: Abstract In this article, we study a mathematical model for a one-dimensional suspension bridge problem with nonlinear damping. The model takes into consideration the vibration of the bridge deck in the vertical plane and main… read more here.
Keywords: bridge; problem nonlinear; bridge problem; suspension bridge ... See more keywords