具有非线性边界条件的非齐次热传导方程的一类反问题

On a Kind of Anti-problem Related to Nonhomogeneous Heat-Conduction Equation with Nonlinear Boundary Condition

解决非齐次热传导方程在具有非线性边界条件下反问题解的存在性、唯一性与稳定性。采用的方法是化为积分方程．应用不动点原理．

By using the fixed-point principle and conyorting into integral equation,the author obtaines the existence, uniqeness and stability of the solution for the anti-problem related to nonhomogeneous heat -conduction equation with nonlinearboundary condition.