Singularly perturbed Volterra integral equations with weakly singular kernels.
Spectral Properties and Asypmtotic Behavior of the Linear Transport Equation.
Stability of the solutions of impulsive integro-differential equations in terms of two measures
Stability of Volterra system with impulsive effect.
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...