A class of singularly perturbed evolution systems.
A class of strongly cooperative systems without compactness
A Classification Of Solutions Of Second Order Linear Differential Equations By Means Of Regularly Varying Functions
A contribution to the theory of stability of differential equations in Banach space
A converse Lyapunov theorem and robustness with respect to unbounded perturbations for exponential dissipativity.
A direct proof of a theorem by Kolmogorov in hamiltonian systems
A discrete Lyapunov theorem for the exponential stability of evolution families.
A dynamical system in a Hilbert space with a weakly attractive nonstationary point
A differential equation is a Hilbert space with all solutions bounded but with so finite nontrivial invariant measure is constructed. In fact, it is shown that all solutions to this equation converge weakly to the origin, nonetheless, there is no stationary point. Moreover, so solution has a non-empty -set.
A General Cooperation Theorem for Hypercycles.
A limit set trichotomy for order-preserving systems on time scales.
A Lyapunov function for pullback attractors of nonautonomous differential equations.
A mathematical model for the dynamics of Hepatitis C.
A necessary and sufficient condition for stability of the convex combination of polynomials
A new algorithm for the SVD of a long product of matrices and the stability of products.
A new instability result to nonlinear vector differential equations of fifth order.
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A note on a generalization of Diliberto's Theorem for certain differential equations of higher dimension
In the theory of autonomous perturbations of periodic solutions of ordinary differential equations the method of the Poincaré mapping has been widely used. For the analysis of properties of this mapping in the case of two-dimensional systems, a result first obtained probably by Diliberto in 1950 is sometimes used. In the paper, this result is (partially) extended to a certain class of autonomous ordinary differential equations of higher dimension.
A note on bounded, periodic and stable solutions of differential equations
A note on LaSalle's problems
In LaSalle's book "The Stability of Dynamical Systems", the author gives four conditions which imply that the origin of a discrete dynamical system defined on ℝ is a global attractor, and proposes to study the natural extensions of these conditions in ℝⁿ. Although some partial results are obtained in previous papers, as far as we know, the problem is not completely settled. In this work we first study the four conditions and prove that just one of them implies that the origin is a global attractor...
A note on linear perturbations of oscillatory second order differential equations
Under suitable hypotheses on , , we prove some stability results which relate the asymptotic behavior of the solutions of to the asymptotic behavior of the solutions of .