Geodesic
On a parabolic integrodifferential equation of Barbashin type
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 391-401.

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In the present paper we study some basic qualitative properties of solutions of a nonlinear parabolic integrodifferential equation of Barbashin type which occurs frequently in applications. The fundamental integral inequality with explicit estimate is used to establish the results.
Classification : 34K10, 35R10
Keywords: parabolic integrodifferential equation; Barbashin type; integral inequality; explicit estimate; approximate solutions; continuous dependence on parameters 
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Pachpatte, B. G. On a parabolic integrodifferential equation of Barbashin type. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 391-401. http://geodesic.mathdoc.fr/item/CMUC_2011__52_3_a5/