On a certain nonlocal problem for a heat equation

Authors

  • Olga Danilkina

    Department Mathematics, College of Natural and Mathematical Sciences, the University of Dodoma

How to Cite

Danilkina, O. (2014). On a certain nonlocal problem for a heat equation. Global Journal of Mathematical Analysis, 2(4), 235-242. https://doi.org/10.14419/gjma.v2i4.3257

Received date: July 23, 2014

Accepted date: August 30, 2014

Published date: September 2, 2014

DOI:

https://doi.org/10.14419/gjma.v2i4.3257

Abstract

The aim of this paper is to study the nonlocal problem with the integral condition of the first kind for the heat equation. We prove existense and uniqueness of a generalized solution for this problem. The proof is based on the obtained apriory estimate and Galerkin method.

Keywords: Energy Inequality, Galerkin Method, Heat Equation, Nonlocal.

References

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How to Cite

Danilkina, O. (2014). On a certain nonlocal problem for a heat equation. Global Journal of Mathematical Analysis, 2(4), 235-242. https://doi.org/10.14419/gjma.v2i4.3257

Received date: July 23, 2014

Accepted date: August 30, 2014

Published date: September 2, 2014