A third order autonomous differential equation with almost periodic solutions

Periodic solutions of fourth-order delay differential equation

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

Almost Periodic Solutions of Second Order Nonlinear Differential Equations with Almost Periodic Forcing

periodic solutions of fourth-order delay differential equation

in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. some new positive periodic criteria are given.

Existence of Asymptotically Almost Automorphic Solutions for a Third Order Differential Equation

This paper deals with results on existence of asymptotically almost automorphic solutions for a third order in time abstract differential equation which model, on one side, high intensity ultrasound in acoustic wave propagation, while on the other side, vibrations of flexible structures possessing internal material damping. We established the asymptotically almost automorphy of the output solut...

Existence of positive periodic solutions for third-order differential equation with strong singularity

where f , h are continuous function andT-periodic about t, h(t,x)≤ , g : [,T]×(,∞)→ R is an L-Carathéodory function, i.e., it is measurable in the first variable and continuous in the second variable, and for every  < r < s there exists hr,s ∈ L[,ω] such that |f (t,x(t))| ≤ hr,s for all x ∈ [r, s] and a.e. t ∈ [,ω], f is ω-periodic function about t. Equation (.) is singular at , whic...