@article{Afanaseva_Tedeev_2005, title={Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source}, volume={57}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3700}, abstractNote={We consider the Cauchy problem for a doubly nonlinear degenerate parabolic equation with nonlocal source under the assumption that the initial function is integrable. We establish the existence and nonexistence of time-global solutions of the problem.}, number={11}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Afanaseva, N. V. and Tedeev, A. F.}, year={2005}, month={Nov.}, pages={1443–1464} }