@article{Chmyr_2013, title={Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities}, volume={65}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/2516}, abstractNote={By using the Schauder principle and the principle of contracting mappings, we study the character of point power singularities for the solution of the generalized first boundary-value problem for the heat-conduction equation with nonlinear boundary conditions. We establish sufficient conditions for the solvability of the analyzed problem.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={ChmyrO. Yu.}, year={2013}, month={Oct.}, pages={1388–1407} }