On the limits of solutions of functional differential equations
Our aim in this paper is to obtain sufficient conditions under which for every there exists a solution of the functional differential equation such that .
Adjoint operators and boundary value problems for linear differential equations
Convergence to equilibria in a differential equation with small delay
Consider the delay differential equation where is a constant and is Lipschitzian. It is shown that if is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
Characterization of shadowing for linear autonomous delay differential equations
A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
Convergence to equilibria in a differential equation with small delay
Special solutions of neutral functional differential equations.
Asymptotic estimates and exponential stability for higher-order monotone difference equations.
Exponential stability in a scalar functional differential equation.
Asymptotic expansions for higher-order scalar difference equations.
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