Remarks on Ordinary Differential Equations in Orderd Banach Spaces.
Resolvent and spectrum of a nonselfadjoint differential operator in a Hilbert space
We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
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.