A linear functional differential equation with distributions in the input.
A note on the Fredholm property of boundary value problems for linear functional-differential equations.
A note on the periodicity in difference equations
A note on the theorem on differential inequalities.
A Perron-type theorem for nonautonomous delay equations
We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.
A survey on the oscillation of solutions of first order linear differential equations with deviating arguments.
About differential inequalities for nonlocal boundary value problems with impulsive delay equations
We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green's functions allows us to get conclusions about the sign-constancy of Green's functions to given functional differential boundary value problems, using the...
About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
About robust stability of dynamic systems with time delays through fixed point theory.
Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
An asymptotic property of solutions to linear nonautonomous delay differential equations.
An exponentially fitted method for singularly perturbed delay differential equations.
An improved oscillation theorem for nonlinear differential equations of advanced type
This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.
An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.
Analytic solution of multipantograph equation.
Analytic solutions of linear neutral functional differential-difference equations.
Approximating the Stability Region for a Differential Equation with a Distributed Delay
We discuss how distributed delays arise in biological models and review the literature on such models. We indicate why it is important to keep the distributions in a model as general as possible. We then demonstrate, through the analysis of a particular example, what kind of information can be gained with only minimal information about the exact distribution of delays. In particular we show that a distribution independent stability region may be obtained in a similar way that delay independent...
Asymptotic behaviour of solutions of delay differential equations of -th order
This paper deals with property A and B of a class of canonical linear homogeneous delay differential equations of -th order.
Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments
Sufficient conditions are established for the oscillation of proper solutions of the system where are locally summable functions, while and are continuous and continuously differentiable functions, respectively, and , .
Asymptotic behaviour of solutions to -order functional differential equations.