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Abstract:

For some abstract classes of nonlinear non-autonomous systems with variable and state-dependent delays existence, non-existence and multiplicity of periodic solutions are discussed. To illustrate the efficiency of the method, we obtain some well-known results for applied systems as corollaries of our existence theorems. © 2014 Elsevier B.V.

Registro:

Documento: Artículo
Título:Existence theorems for some abstract nonlinear non-autonomous systems with delays
Autor:Amster, P.; Idels, L.
Filiación:Departamento de Matemática - FCEyN, Universidad de Buenos Aires and CONICET Ciudad Universitaria, Pab. I, 1428 Buenos Aires, Argentina
Department of Mathematics, Vancouver Island University (VIU), 900 Fifth St., Nanaimo BC V9S5J5, Canada
Palabras clave:Continuation theorem; Delay differential equations; Existence; Leray-Schauder topological degree; Nonlinear non-autonomous systems; Periodic solutions; Population dynamics; Differential equations; Population dynamics; Continuation theorem; Delay differential equations; Existence; Non-autonomous system; Periodic solution; Topological degree; Theorem proving
Año:2014
Volumen:19
Número:9
Página de inicio:2974
Página de fin:2982
DOI: http://dx.doi.org/10.1016/j.cnsns.2014.01.026
Título revista:Communications in Nonlinear Science and Numerical Simulation
Título revista abreviado:Comm. Nonlinear Sci. Numer. Simul.
ISSN:10075704
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10075704_v19_n9_p2974_Amster

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Citas:

---------- APA ----------
Amster, P. & Idels, L. (2014) . Existence theorems for some abstract nonlinear non-autonomous systems with delays. Communications in Nonlinear Science and Numerical Simulation, 19(9), 2974-2982.
http://dx.doi.org/10.1016/j.cnsns.2014.01.026
---------- CHICAGO ----------
Amster, P., Idels, L. "Existence theorems for some abstract nonlinear non-autonomous systems with delays" . Communications in Nonlinear Science and Numerical Simulation 19, no. 9 (2014) : 2974-2982.
http://dx.doi.org/10.1016/j.cnsns.2014.01.026
---------- MLA ----------
Amster, P., Idels, L. "Existence theorems for some abstract nonlinear non-autonomous systems with delays" . Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 9, 2014, pp. 2974-2982.
http://dx.doi.org/10.1016/j.cnsns.2014.01.026
---------- VANCOUVER ----------
Amster, P., Idels, L. Existence theorems for some abstract nonlinear non-autonomous systems with delays. Comm. Nonlinear Sci. Numer. Simul. 2014;19(9):2974-2982.
http://dx.doi.org/10.1016/j.cnsns.2014.01.026