Semigroup approach to semilinear partial functional differential equations with infinite delay.
Semigroups affiliated with algebras of operators
Semigruppi di traslazioni nello spazio
Separation for ordinary differential equation with matrix coefficient.
Single step methods for inhomogeneous linear differential equations in Banach space
Singular evolution problems, regularization, and applications to physics, engineering, and biology
Singular integral inequalities and stability of semilinear parabolic equations
Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.
Solution sets of multivalued Sturm-Liouville problems in Banach spaces
We give some results about the topological structure of solution sets of multivalued Sturm-Liouville problems in Banach spaces.
Solutions of abstract hyperbolic equations by Rothe method.
Solvability of boundary value problems for operator-differential equations of mixed type: the degenerate case.
Solving a class of generalized Lyapunov operator differential equations without the exponential operator function.
In this paper a method for solving operator differential equations of the type X' = A + BX + XD; X(0) = C0, avoiding the operator exponential function, is given. Results are applied to solve initial value problems related to Riccati type operator differential equations whose associated algebraic equation is solvable.
Some remarks concerning regularity of solutions for abstract differential equations
Spectral analysis of a weighted shift operator with unbounded operator coefficients.
Spectral properties of cosine operator functions.
Spectral sets and the Drazin inverse with applications to second order differential equations
The paper defines and studies the Drazin inverse for a closed linear operator in a Banach space in the case that belongs to a spectral set of the spectrum of . Results are applied to extend a result of Krein on a nonhomogeneous second order differential equation in a Banach space.
Stability and correctness of abstract differential equations in Hilbert spaces
Stability at constantly acting disturbances of abstract differential equations with the right-hand sides smooth in the time variable
Stability of stationary and periodic solutions equations in Banach space.
Stabilizability and controllability of systems associated to linear skew-product semiflows.
This paper is concerned with systems with control whose state evolution is described by linear skew-product semiflows. The connection between uniform exponential stability of a linear skew-product semiflow and the stabilizability of the associated system is presented. The relationship between the concepts of exact controllability and complete stabilizability of general control systems is studied. Some results due to Clark, Latushkin, Montgomery-Smith, Randolph, Megan, Zabczyk and Przyluski are generalized....
Stepanov-like almost automorphic solutions for nonautonomous evolution equations.