Qualitative analysis of solutions for a class of logarithmic Kirchhoff equation with distributed delay

Erhan Pişkin, Hazal Yüksekkaya

In this article, we concerned with a logarithmic Kirchhoff equation with distributed internal delay. Firstly, we obtain the global existence of solutions by using the well-depth method. Later, under appropriate assumptions on the weight of the delay and that of frictional damping, we establish the exponential decay. Moreover, we obtain the blow up results for negative initial energy.

Advanced Studies: Euro-Tbilisi Mathematical Journal, Special Issue (10 - 2021), pp. 17-34