Browsing by Subject "telegraph equation"
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Item type:Article, Access status: Open Access , Existence, uniqueness and estimates of classical solutions to some evolutionary system(2015) Sapa, LucjanThe theorem of the local existence, uniqueness and estimates of solutions in Hölder spaces for some nonlinear differential evolutionary system with initial conditions is formulated and proved. This system is composed of one partial hyperbolic second-order equation and an ordinary subsystem with a parameter. In the proof of the theorem we use the Banach fixed-point theorem, the Arzeli-Ascola lemma and the integral form of the differential problem.Item type:Thesis, Access status: Restricted , Istnienie i jednoznaczność rozwiązania klasycznego układu ewolucyjnych równań różniczkowych(Data obrony: 2017-07-10) Światłowska, Julita
Wydział Matematyki StosowanejItem type:Article, Access status: Open Access , Uniqueness and parameter dependence of positive doubly periodic solutions of nonlinear telegraph equations(2014) Graef, John R.; Kong, Lingju; Wang, MinThe authors study a type of second order nonlinear telegraph equation. The existence and uniqueness of positive doubly periodic solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.