Positivity and Regularity of Hyperbolic Volterra Equations in Banach Spaces.
Reducing increasing monotonicity of kernels.
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...
The asymptotic behavior of solutions to singularly perturbed nonlinear integro-differential equations.
The Asymptotic Behaviour of Solutions of Nonlinear Integral Equations.
The blow-up solutions of integral equations
Асимптотика решения сингулярного интегрального уравнения с малым параметром
Метод сведения для интегро-дифференциальных уравнений
Об интегральном уравнении задачи Дирихле в плоской области с остриями на границе
Применение метода усреднения к одной двухточечной краевой задаче для нелинейных систем интегро-дифференциальных уравнений
Сингулярное интегральное уравнение с малым параметром на конечном отрезке
Смешанная задача для нестационарной системы нелинейных интегродифференциальных уравнений