Add to ORKGsummary:We discuss the asymptotic behaviour of all solutions of the functional differential equation \[y^{\prime }(x)=\sum _{i=1}^ma_i(x)y(\tau _i(x))+b(x)y(x)\,,\] where $b(x)<0$. The asymptotic bounds are given in terms of a solution of the functional nondifferential equation \[\sum _{i=1}^m|a_i(x)|\omega (\tau _i(x))+b(x)\omega (x)=0.\
This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro...
summary:In the paper we study the existence of nonoscillatory solutions of the system $x^{(n)}_i(t)=...
summary:The paper considers a scalar differential equation of an advance-delay type \begin{equation*...
summary:We discuss the asymptotic behaviour of all solutions of the functional differential equation...
This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differ...
summary:The paper discusses the asymptotic properties of solutions of the scalar functional differen...
summary:Sufficient conditions are presented for all bounded solutions of the linear system of delay ...
AbstractWe consider an equation(1)y″(x)=q(x)y(x),x∈R, under the following assumptions on q:(2)0⩽q∈L1...
We discuss the dynamics of general linear functional differential equations with solutions that exhi...
summary:The nonlinear difference equation \[ x_{n+1}-x_n=a_n\varphi _n(x_{\sigma (n)})+b_n, \qquad \...
AbstractAsymptotic behaviour of solutions of first-order differential equation with two deviating ar...
We consider the a.s. asymptotic behaviour of a solution of the stochastic differential equation (SD...
summary:In this paper we study asymptotic behavior of solutions of second order neutral functional d...
summary:We study the existence of positive solutions of the integral equation \[ x(t) = \mu \int _0^...
summary:For the equation $$ y^{(n)}+|y|^{k}\mathop {\rm sgn} y=0,\quad k>1,\ n=3,4, $$ existence of ...
This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro...
summary:In the paper we study the existence of nonoscillatory solutions of the system $x^{(n)}_i(t)=...
summary:The paper considers a scalar differential equation of an advance-delay type \begin{equation*...
summary:We discuss the asymptotic behaviour of all solutions of the functional differential equation...
This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differ...
summary:The paper discusses the asymptotic properties of solutions of the scalar functional differen...
summary:Sufficient conditions are presented for all bounded solutions of the linear system of delay ...
AbstractWe consider an equation(1)y″(x)=q(x)y(x),x∈R, under the following assumptions on q:(2)0⩽q∈L1...
We discuss the dynamics of general linear functional differential equations with solutions that exhi...
summary:The nonlinear difference equation \[ x_{n+1}-x_n=a_n\varphi _n(x_{\sigma (n)})+b_n, \qquad \...
AbstractAsymptotic behaviour of solutions of first-order differential equation with two deviating ar...
We consider the a.s. asymptotic behaviour of a solution of the stochastic differential equation (SD...
summary:In this paper we study asymptotic behavior of solutions of second order neutral functional d...
summary:We study the existence of positive solutions of the integral equation \[ x(t) = \mu \int _0^...
summary:For the equation $$ y^{(n)}+|y|^{k}\mathop {\rm sgn} y=0,\quad k>1,\ n=3,4, $$ existence of ...
This paper considers the asymptotic behaviour of solutions of the scalar linear convolution integro...
summary:In the paper we study the existence of nonoscillatory solutions of the system $x^{(n)}_i(t)=...
summary:The paper considers a scalar differential equation of an advance-delay type \begin{equation*...