an:01366734
Zbl 0930.35007
Moroz, M. V.
A problem for thermal conductivity equation with pulse action
UK
Kraj. Zadachi Dyfer. Rivnyan' 1, 170-177 (1998).
00061612
1998
j
35A05 80A22
temperature auto adjustment; pulse pumping of heat; form of the adjusting functional; uniqueness of the periodic solution; necessary and sufficient conditions; asymptotic behavior of the solution
A generalization of the problem about auto adjustment of temperature in a rod by pulse pumping of heat is considered. This problem was suggested by A. D. Myshkis. The mentioned generalization deals with the form of the adjusting functional. The properties of the solutions with impulse excitation were investigated, and the theorem about the uniqueness of the periodic solution as well as necessary and sufficient conditions of its existence are proved. Estimates for the asymptotic behavior of the solution are obtained.
Oleg Limarchenko (Ky??v)