Oscillations of linear integro-differential equations

• Autorzy: Rudolf Olach , Helena Šamajová
• Języki publikacji: EN

Abstrakty

EN

Sufficient conditions which guarantee that certain linear integro-differential equation cannot have a positive solution are established.

Słowa kluczowe

EN

Integro-differential equation; oscillation; sufficient condition; 34K15; 34C10

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 1
• Strony: 98-104

Daty

wydano

2005-03-01

online

2005-03-01

Twórcy

autor

Rudolf Olach

• University of Žilina

autor

Helena Šamajová

• Slovak Technical University

Bibliografia

• [1] L. Berezansky, E. Braverman: “On oscillation of equations with distributed delay”, Z. Anal. Anwendungen, Vol. 20, (2001), pp. 489–504.
• [2] W.K. Ergen: “Kinetics of the circulating fuel nuclear reactor”,Journal of Applied Physics, Vol.25, (1954), pp.702–711. http://dx.doi.org/10.1063/1.1721720
• [3] I. Györi, G. Ladas: Oscillation Theory of Delay Differential Equations, Clarendon Press, Oxford, 1991.
• [4] G. Ladas, CH.G. Philos, Y.G. Sficas: “Oscillations of integro-differential equations”, Differential and Integral Equations, Vol. 4, (1991), pp. 1113–1120.
• [5] G.S. Ladde, V. Lakshmikantham, B.G. Zhang: Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York and Basel, 1987.
• [6] R. Olach: “Observation of a Feedback Mechanism in a Population Model”, Nonlinear Analysis, Vol. 41, (2000), pp. 539–544. http://dx.doi.org/10.1016/S0362-546X(98)00295-8
• [7] X.H. Tang: “Oscillation of first order delay differential equations with distributed delay”, J. Math. Anal. Appl., Vol. 289, (2004), pp. 367–378. http://dx.doi.org/10.1016/j.jmaa.2003.08.008

Identyfikatory

DOI

10.2478/BF02475658