Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Convergence in nonlinear systems with a forcing term
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How to Cite

Nápoles, J. E., & Ruiz, A. I. (1997). Convergence in nonlinear systems with a forcing term. Revista De Matemática: Teoría Y Aplicaciones, 4(1), 1–4. https://doi.org/10.15517/rmta.v4i1.135

Abstract

The problem of convergence, as t → +∞, of solutions of the system (1) is considered. It is assumed that the functions α, f and g are of class C1 for all values of their arguments, furthermore g′(x) > 0, f ′(x)r > 0, 0 < n ≤ α′(y)N < +∞ and the functions a(t) and p(t) are continuous on [0, +∞) with 0 < aa(t)A < +∞  and p(t) ≥ 0.

https://doi.org/10.15517/rmta.v4i1.135
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References

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Bibikov, Y.N. (1976) “Convergence in Liénard equation with a forcing term”, Vestnik LGU 7: 73–75 (russian).

Nápoles, J.E. “On the boundedness and global stability of solutions of a system of differential equations”, to appear in Rev. Ciencias Matemáticas, Universidad de La Habana (spanish).

Nápoles, J.E. “On the global stability of non-autonomous systems”, submited for publication.

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Ruiz, A. (1993) “On the convergence of solutions of system x′=h(y) − f(x), y′= −g(x) + p(t) to a bounded solution ”, Rev. Ciencias Matemáticas, Universidad de La Habana (spanish).

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