Abstract:

Continuation theorem in coincidence degree theory, a type of third order p-Laplacian equation with a deviating argument
(φ_p((x(t)-cx(t-σ))″))′+f₁(x(t))x′(t)+f₂(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t) was considered with the sufficient condition for the existance of Tperiodic solution obtained.

Key words: periodic solution, deviating argument, coincidence degree, p-Laplacian equation