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This paper is the first which applies the von Neumann analysis to proves the stability of the finite difference scheme for the linearized discrete Tzitzeica equation..
The effective conditions guaranteeing the unique solvability of this problem and the stability of its solution with respect to small perturbations of the coefficients of the
In this paper the problem of stability of the zero solution of singu- larly perturbed system of linear differential equation with state delays is investigated.. We show that if the
Furumochi research the asymptotic stability for the equation (1. 1); more precisely, in certain hypotheses (enumerated below) one proves that for initial data small enough, the
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as spe- cial cases numerous
We prove necessary and sufficient conditions for Ψ − (uniform) stability of the trivial solution of a nonlinear Lyapunov matrix differential equation. But the obtained results in
Gao: Existence of nontrivial nonnegative periodic so- lutions for a class of doubly degenerate parabolic equation with nonlocal terms. Yamada: Periodic solutions of certain
Moghimi, Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces, J.. Park, Hyers–Ulam–Rassias stability of homomorphisms
