A new singular impulsive delay differential inequality and its application.
A new Taylor type formula and extensions for asymptotically developable functions
The paper studies the relation between asymptotically developable functions in several complex variables and their extensions as functions of real variables. A new Taylor type formula with integral remainder in several variables is an essential tool. We prove that strongly asymptotically developable functions defined on polysectors have extensions from any subpolysector; the Gevrey case is included.
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A new view of center manifolds
A nonlinear boundary value problem associated with the static equilibrium of an elastic beam supported by sliding clamps.
A nonlinear bounday value problem for a nonlinear ordinary differential operator in weighted Sobolev spaces.
A nonlinear differential equation involving reflection of the argument
We study the nonlinear boundary value problem involving reflection of the argument where and are continuous functions with . Using Galerkin approximations combined with the Brouwer’s fixed point theorem we obtain existence and uniqueness results. A numerical algorithm is also presented.
A non-linear hyperbolic equation.
A nonlinear neutral periodic differential equation.
A nonlinear periodic system with nonsmooth potential of indefinite sign
In this paper we consider a nonlinear periodic system driven by the vector ordinary -Laplacian and having a nonsmooth locally Lipschitz potential, which is positively homogeneous. Using a variational approach which exploits the homogeneity of the potential, we establish the existence of a nonconstant solution.
A nonlinear scattering problem
A non-resonant generalized multi-point boundary-value problem of Dirichlet type involving a p-Laplacian type operator.
A non-resonant multi-point boundary-value problem for a -Laplacian type operator.
A nonstandard dynamically consistent numerical scheme applied to obesity dynamics.
A note concerning Gauss-Jackson method.
Specialized literature concerning studies on Orbital Dynamics usually mentions the Gauss-Jackson or sum squared (∑2) method for the numerical integration of second order differential equations. However, as far as we know, no detailed description of this code is available and there is some confusion about the order of the method and its relation with the Störmer method. In this paper we present a simple way of deriving this algorithm and its corresponding analog for first order equations from the...
A note on a beam equation with nonlinear boundary conditions.
A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
We obtain an algebraic interpretation by means of the Picard-Vessiot theory of a result by Ziglin about the self-intersection of complex separatrices of time-periodically perturbed one-degree of freedom complex analytical Hamiltonian systems.
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 a generalization of the Sturm-Picone theorem
A note on a linear spectral theorem for a class of first order systems in .