Asymptotics of solutions of infinite-dimensional homogeneous dynamical systems
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Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243)
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CHEBAN, David. Asymptotics of solutions of infinite-dimensional homogeneous dynamical systems. In: Mathematical Notes, 1996, vol. 63, pp. 102-111. ISSN 0001-4346. DOI: https://doi.org/10.1007/bf02316148
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Mathematical Notes
Volumul 63 / 1996 / ISSN 0001-4346 /ISSNe 1573-8876

Asymptotics of solutions of infinite-dimensional homogeneous dynamical systems

DOI:https://doi.org/10.1007/bf02316148
CZU: 517.938+517.925.51

Pag. 102-111

Cheban David
 
Moldova State University
 
 
Disponibil în IBN: 14 februarie 2024


Rezumat

In this paper we study the connection between the uniform asymptotic stability and the power-law or exponential asymptotics of the solutions of infinite-dimensional systems (differential equations in Banach spaces, functional differential equations, and completely solvable multidimensional differential equations). 

Cuvinte-cheie
Exponential asymptotics, Infinite-dimensional dynamical system, Power-law asymptotics, Uniform asymptotic stability