Stability of nonlinear functional difference equations.
On inequalities between solutions of first order partial differential-functional equations
Finite difference approximations for nonlinear first order partial differential equations.
Difference methods for non-linear partial differential equations of the first order
Comparison of explicit and implicit difference schemes for parabolic functional differential equations
Initial-boundary value problems of Dirichlet type for parabolic functional differential equations are considered. Explicit difference schemes of Euler type and implicit difference methods are investigated. The following theoretical aspects of the methods are presented. Sufficient conditions for the convergence of approximate solutions are given and comparisons of the methods are presented. It is proved that the assumptions on the regularity of the given functions are the same for both methods. It...
Initial-boundary value problems for impulsive parabolic functional differential equations
Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
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