BOUNDED SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS WITH TIME DELAY

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dc.authoridAshyralyev, Allaberen/0000-0002-4153-6624
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAgirseven, Deniz
dc.date.accessioned2024-06-12T11:09:17Z
dc.date.available2024-06-12T11:09:17Z
dc.date.issued2018
dc.departmentTrakya Üniversitesien_US
dc.description.abstractWe consider the initial value problem d(2)u/dt(2) + Au(t) - f(u(t), u(t - w)), t > 0, u(t) = phi(t), -w <= t <= 0 for a nonlinear hyperbolic equation with time delay in a Hilbert space with the self adjoint positive definite operator A. We establish the existence and uniqueness of a bounded solution, and show application of the main theorem for four nonlinear partial differential equations with time delay. We present first and second order accuracy difference schemes for the solution of one dimensional nonlinear hyperbolic equation with time delay. Numerical results are also given.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/20.500.14551/22756
dc.identifier.wosWOS:000422929700003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTexas State Univen_US
dc.relation.ispartofElectronic Journal Of Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear Hyperbolic Equationen_US
dc.subjectTime Delayen_US
dc.subjectBounded Solutionen_US
dc.subjectParabolic Difference-Equationsen_US
dc.subjectWell-Posednessen_US
dc.subjectOperatorsen_US
dc.subjectStabilityen_US
dc.subjectTermsen_US
dc.titleBOUNDED SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS WITH TIME DELAYen_US
dc.typeArticleen_US

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