dc.creatorLopes O.
dc.date1976
dc.date2015-06-26T17:51:09Z
dc.date2015-11-26T14:23:35Z
dc.date2015-06-26T17:51:09Z
dc.date2015-11-26T14:23:35Z
dc.date.accessioned2018-03-28T21:25:37Z
dc.date.available2018-03-28T21:25:37Z
dc.identifier
dc.identifierJournal Of Mathematical Analysis And Applications. , v. 55, n. 3, p. 686 - 698, 1976.
dc.identifier0022247X
dc.identifier10.1016/0022-247X(76)90075-5
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0016993032&partnerID=40&md5=f6f0433f74d442a9bf8780a3297c290e
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/96585
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/96585
dc.identifier2-s2.0-0016993032
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1245157
dc.descriptionIn this paper we derive a differential-difference equation for a circuit involving a lossless transmission line and we give conditions for global asymptotic stability of an equilibrium point, existence and stability of forced oscillations. Some of such problems have been investigated for an equation obtained by R. K. Brayton [Quart. J. Appl. Math. 24 (1967), 289-301; O. Lopes, SIAM J. Appl. Math., to appear; M. Slemrod, J. Math. Anal. Appl. 36 (1971), 22-40] but, for ours (which governs the same physical problem), better results can be proved. By using suitable Liapunov functionals, we reduce the problem of stability and uniform ultimate boundedness to a scalar ordinary differential inequality. © 1976.
dc.description55
dc.description3
dc.description686
dc.description698
dc.descriptionThe Society of Photo-Optical Instrumentation Engineers (SPIE)
dc.descriptionBrayton, Nonlinear oscillations in a distributed network (1967) Quart. J. Appl. Math., 24, pp. 289-301
dc.descriptionHale, Forward and backward continuation for neutral equations (1971) J. Differential Eqs., 9
dc.descriptionHale, Cruz, Existence, uniqueness and continuous dependence for hereditary systems (1970) Ann. di Mat. Pura, 4, p. 85
dc.descriptionHale, Cruz, Stability of neutral equations (1970) Journal of Differential Equations, 7
dc.descriptionHale, Lopes, Fixed point theorems and dissipatine processes (1973) Journal of Differential Equations, 13
dc.descriptionO. Lopes, Periodic solutions in neutral equations, SIAM J. Appl. Math., to appearSlemrod, Nonexistence of oscillations in a nonlinear distributed network (1971) J. Math. Anal. Appl., 36, pp. 22-40
dc.languageen
dc.publisher
dc.relationJournal of Mathematical Analysis and Applications
dc.rightsfechado
dc.sourceScopus
dc.titleStability And Forced Oscillations
dc.typeArtículos de revistas


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