The main goal of this work is to study an initial boundary value problem for a Kirchhoff-type equation with nonlinear boundary delay and source terms. This paper is devoted to prove the global existence, decay, and the blow up of solutions. To the best of our knowledge, there are not results on the Kirchhoff type-equation with nonlinear boundary delay and source terms.
Kirchhoff-type equation, nonlinear boundary conditions, delay term, global existence, decay, blow up
KAMACHE, HOURIA; BOUMAZA, NOURI; and GHERAIBIA, BILLEL
"Global existence, asymptotic behavior and blow up of solutions for a Kirchhoff-type equation with nonlinear boundary delay and source terms,"
Turkish Journal of Mathematics: Vol. 47:
5, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol47/iss5/4