The theory of differential inequalities is extended to functional-differential equations with hysteresis nonlinearities. A key feature is the existence of a semi-order of the state space of nonlinearity and a special monotonicity of the right-hand side of differential inequality. This article is dedicated to the memory of Roland L. Dobrushin
Input-to-state stability (ISS) of a class of differential inclusions is proved. Every system in the ...
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operato...
Inequalities for Differential and Integral Equations has long been needed; it contains material whic...
We investigate general control problems governed by ordinary differential systems involving hysteres...
summary:We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases...
The investigation of a closed system, containing a unit with hysterone, which is described by a syst...
Abstract. An existence and regularity theorem is proved for integral equations of convolution type w...
Abstract. A class of differential-delay systems with hysteresis is considered. Conditions ensuring b...
This essay is concerned with stability theorems for systems described by non-linear and linear time-...
Optimal control of ODE systems with hysteresis nonlinearities. - In: Trends in mathematical optimiza...
In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differen...
Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuo...
Abstract. Input-to-state stability (ISS) of a class of differential inclusions is proved. Every syst...
The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolut...
A theorem about a system of strong impulsive degenerate nonlinear parabolic functional-differential ...
Input-to-state stability (ISS) of a class of differential inclusions is proved. Every system in the ...
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operato...
Inequalities for Differential and Integral Equations has long been needed; it contains material whic...
We investigate general control problems governed by ordinary differential systems involving hysteres...
summary:We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases...
The investigation of a closed system, containing a unit with hysterone, which is described by a syst...
Abstract. An existence and regularity theorem is proved for integral equations of convolution type w...
Abstract. A class of differential-delay systems with hysteresis is considered. Conditions ensuring b...
This essay is concerned with stability theorems for systems described by non-linear and linear time-...
Optimal control of ODE systems with hysteresis nonlinearities. - In: Trends in mathematical optimiza...
In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differen...
Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuo...
Abstract. Input-to-state stability (ISS) of a class of differential inclusions is proved. Every syst...
The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolut...
A theorem about a system of strong impulsive degenerate nonlinear parabolic functional-differential ...
Input-to-state stability (ISS) of a class of differential inclusions is proved. Every system in the ...
We present some results concerning two classes of P.D.E.s containing a continuous hysteresis operato...
Inequalities for Differential and Integral Equations has long been needed; it contains material whic...