Geodesic
Global asymptotic stability of generalized homogeneous dynamical systems
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2023), pp. 52-82

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The goal of the paper is to study the relationship between asymptotic stability and exponential stability of the solutions of generalized homogeneous nonautonomous dynamical systems. This problem is studied and solved within the framework of general non-autonomous (cocycle) dynamical system. The application of our general results for differential and difference equations is given. 
@article{BASM_2023_2_a5,
     author = {David Cheban},
     title = {Global asymptotic stability of generalized homogeneous dynamical systems},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {52--82},
     publisher = {mathdoc},
     number = {2},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2023_2_a5/}
}
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David Cheban. Global asymptotic stability of generalized homogeneous dynamical systems. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2023), pp. 52-82. http://geodesic.mathdoc.fr/item/BASM_2023_2_a5/