New oscillation results to fourth order delay differential equations with damping | Zendy

Jozef Džurina | Zendy; Blanka Baculíková | Zendy; Irena Jadlovská | Zendy

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New oscillation results to fourth order delay differential equations with damping

Author(s) -

Jozef Džurina,

Blanka Baculíková,

Irena Jadlovská

Publication year - 2016

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.2016.1.7

Subject(s) - oscillation (cell signaling) , mathematics , order (exchange) , delay differential equation , differential equation , differential (mechanical device) , control theory (sociology) , mathematical analysis , physics , thermodynamics , computer science , economics , control (management) , biology , genetics , finance , artificial intelligence

This paper is concerned with the oscillation of the linear fourth-order delay differential equation with damping ( r3(t) ( r2(t) ( r1(t)y(t) )′)′)′ + p(t)y′(t) + q(t)y(τ(t)) = 0 under the assumption that the auxiliary third-order differential equation ( r3(t) ( r2(t)z(t) )′)′ + p(t) r1(t) z(t) = 0 is nonoscillatory. In addition, a couple of examples is provided to illustrate the relevance of the main results.

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