Uniqueness of solutions to integrodifferential and functional integrodifferential equations.
Bahuguna, D., Garey, L.E. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Bahuguna, D., Garey, L.E. (1999)
Journal of Applied Mathematics and Stochastic Analysis
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Gupta, Chaitan P. (1987)
International Journal of Mathematics and Mathematical Sciences
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Ivan Hlaváček (1971)
Aplikace matematiky
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Dana Říhová-Škabrahová (2001)
Applications of Mathematics
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The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and...
Andrzej Nowakowski, Aleksandra Orpel (2006)
Czechoslovak Mathematical Journal
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The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.