Oscillations of Some Equations and Inequalities of Second Order and Applications in Mechanics
Z. Petrova, Michail D. Todorov · AIP conference proceedings · 2007
We begin with oscillation results for the following equations and inequalities: Az″(t)+ ∑ i = 1nθiz′(t−τi)+ ∑ k = 1ñβkz(t−σk)+Bz(t) = F(t) and Az″(t)+ ∑ i = 1nθiz′(t−τi)+ ∑ k = 1ñβkz(t−σk)+Bz(t)⩽F(t), where A>0, B>0, θi⩾0, τi⩾0, i = 1,n¯, n∈N, βk⩾0, σk⩾0, ∀k = 1,ñ¯, ñ∈N are constants. Further, we give some mechanical approaches concerned with an equation of a pipeline as well as with a mathematical model of a polishing system with a hydrocylinder.