On qualitative properties of a system containing a singular parabolic functional equation

L. Simon, L. Eötvös University, Budapest, Hungary

E. J. Qualitative Theory of Diff. Equ., Proc. 8'th Coll. Qualitative Theory of Diff. Equ., No. 20. (2008), pp. 1-13.

Abstract: We consider a system consisting of a quasilinear parabolic equation and a first order ordinary differential equation containing functional dependence on the unknown functions. The existence and some properties of solutions in $(0,\infty )$ will be proved.

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