Second-order elliptic integro-differential equations : viscosity solutions' theory revisited
Some stability and boundedness criteria for a class of Volterra integro-differential systems.
Stability analysis of reducible quadrature methods for Volterra integro-differential equations
Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented. The results given are based on the test equation and absolute stability is deffined in terms of the real parameters and . Sufficient conditions are illustrated for - methods and for combinations of Adams-Moulton and backward differentiation methods.
Stability criteria of linear neutral systems with distributed delays
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...
Stability of a transport equation
Stability of periodic solutions of some integral equations.
Stability of the solutions of impulsive integro-differential equations in terms of two measures
Stability of Volterra system with impulsive effect.
Stabilization of Volterra equations by noise.
Survival in a two-dimensional Lotka-Volterra system.
Systems with hysteresis in the feedback loop : existence, regularity and asymptotic behaviour of solutions
An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis operators...
Systems with hysteresis in the feedback loop: existence, regularity and asymptotic behaviour of solutions
An existence and regularity theorem is proved for integral equations of convolution type which contain hysteresis nonlinearities. On the basis of this result, frequency-domain stability criteria are derived for feedback systems with a linear infinite-dimensional system in the forward path and a hysteresis nonlinearity in the feedback path. These stability criteria are reminiscent of the classical circle criterion which applies to static sector-bounded nonlinearities. The class of hysteresis operators...