Nonautonomous differential systems: several functions in the stability problem |
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| Authors: | N. Ianiro C. Maffei |
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| Affiliation: | Istituto di Meccanica e Macchine Fac. Ingegneria Università dell''Aquila L''Aquila, Italy;Istituto di Matematica Università di Camerino Camerino, Italy |
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| Abstract: | Results of asymptotic stability and instability for nonautonomous differential systems with unbounded right hand side are obtained by using several auxiliary functions and topological properties of the Ω-limit set of solutions. The theorem established is applied to prove the asymptotic stability of the stationary solution of the Lienard equation with unbounded dampings. |
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