Periodic solutions to ap-Laplacian neutral Duffing equation with variable parameter

Periodic solutions to a p-Laplacian neutral Duffing equation with variable parameter

We study a type of p-Laplacian neutral Duffing functional differential equation with variable parameter to establish new results on the existence of T -periodic solutions. The proof is based on a famous continuation theorem for coincidence degree theory. Our research enriches the contents of neutral equations and generalizes known results. An example is given to illustrate the effectiveness of ...

Existence of periodic solutions for p-Laplacian neutral Rayleigh equation

where φp(x) = |x|p–x for x =  and p > ; σ and c are given constants with |c| = ; φp() = , f () = . The conjugate exponent of p is denoted by q, i.e.  p +  q = . f , g , β , e, and τ are real continuous functions on R; τ , β , and e are periodic with periodic T , T >  is a constant; ∫ T  e(t)dt = , ∫ T  β(t) = . As we know, the p-Laplace Rayleigh equation with a deviating argumen...

Periodic solutions for a kind of higher-order neutral functional differential equation with variable parameter

In this paper, we consider a kind of higher-order neutral equation with distributed delay and variable parameter: (x(t) – p(t)x(t – σ ))(n) + f (x(t))x′(t) + g( ∫ 0 –r x(t + s)dα(s)) = q(t). By using the classical coincidence degree theory of Mawhin, sufficient conditions for the existence of periodic solutions are established. Recent results in the literature are generalized and significantly ...

Periodic Solutions for a Second-order Neutral Differential Equation with Variable Parameter and Multiple Deviating Arguments

By employing the continuation theorem of coincidence degree theory developed by Mawhin, we obtain periodic solution for a class of neutral differential equation with variable parameter and multiple deviating arguments.

Existence of Periodic Solutions for the Duffing Equation with Impulses