2017
Том 69
№ 9

All Issues

Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities

Chmyr O. Yu.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 10, pp 1542-1565.

Citation Example: Chmyr O. Yu. Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities // Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1388–1407.

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