Time-discretization schema for a semilinear pseudo-parabolic equation with integral conditions
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DOI: 10.1016/j.apnum.2019.09.002
Abstract: Abstract In this paper, we use the Rothe time-discretization method to prove the existence and uniqueness of a strong solution of a semilinear pseudo-parabolic equation with integral conditions. We also provided an example to illustrate… read more here.
Keywords: pseudo parabolic; parabolic equation; time discretization; semilinear pseudo ... See more keywords
A problem with integral conditions for an elliptic-parabolic equation
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DOI: 10.1134/s0001434617070082
Abstract: A problem with integral conditions for a differential equation of elliptic-parabolic type in a mixed domain consisting of a rectangle and a half-disk is posed. The unique solvability of this problem is proved. read more here.
Keywords: conditions elliptic; elliptic parabolic; integral conditions; equation ... See more keywords
Spatially nonlocal problems with integral conditions for third-order differential equations
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DOI: 10.1134/s0012266117070047
Abstract: We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation uttt + uxx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable. read more here.
Keywords: spatially nonlocal; equations spatially; integral conditions; differential equations ... See more keywords