On semilinear evolution equations in Banach spaces.
On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities.
On Some Classes Of Differential Equations
On some classes of differential equations.
On some non-local problems of the theory of elasticity.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.
On the abstract Cauchy problem in the case of constant domains
Si studiano esistenza, unicità e regolarità delle soluzioni strette, classiche e forti dell'equazione di evoluzione non autonoma con il dato iniziale , in uno spazio di Banach . Gli operatori sono generatori infinitesimali di semi-gruppi analitici ed hanno dominio indipendente da e non necessariamente denso in . Si danno condizioni necessarie e sufficienti per l'esistenza e la regolarità hölderiana della soluzione e della sua derivata.
On the abstract subordinated exit equation.
On the almost periodic solutions of differential equations on Hilbert spaces.
On the asymptotic behaviour of a solution of a differential equation in a Hilbert space
On the "bang-bang" principle for nonlinear evolution inclusions.
On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces.
On the Cauchy Problem Concerning Nonlinear Delay Funtional Differential Equations in a Banach Space
On the circle criterion for boundary control systems in factor form : Lyapunov stability and Lur’e equations
A Lur’e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur’e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on results...
On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations
A Lur'e feedback control system consisting of a linear, infinite-dimensional system of boundary control in factor form and a nonlinear static sector type controller is considered. A criterion of absolute strong asymptotic stability of the null equilibrium is obtained using a quadratic form Lyapunov functional. The construction of such a functional is reduced to solving a Lur'e system of equations. A sufficient strict circle criterion of solvability of the latter is found, which is based on...
On the Closedness of the Sum of Two Closed Operators.
On the correct formulation of a nonlinear differential equation in Banach spaces.
On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.
On the discretization of a partial differential equation in the neighborhood of a periodic orbit.
On the discretization of degenerate sweeping processes.