On the asymptotic behavior of the pantograph equations | Zendy

Géza Makay | Zendy; József Terjéki | Zendy

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On the asymptotic behavior of the pantograph equations

Author(s) -

Géza Makay,

József Terjéki

Publication year - 1998

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.1998.1.2

Subject(s) - mathematics , constant (computer programming) , scalar (mathematics) , function (biology) , mathematical analysis , pantograph , geometry , mechanical engineering , engineering , evolutionary biology , computer science , biology , programming language

where a(t) is a nonnegative continuous scalar function on R+ := [0;1) and 0 0 and ’(t) is a given continuous function on [pt0;t0] then the solution x(t) with x(s) = ’(s) for s 2 [pt0;t0] is dened for t ! 1 and it diers from any constant solution if ’ is not constant. Equation (1.1) can be transformed to the equation

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