Measure-differential inclusions in percussional dynamics.
Mechanical oscillators described by a system of differential-algebraic equations
The classical framework for studying the equations governing the motion of lumped parameter systems presumes one can provide expressions for the forces in terms of kinematical quantities for the individual constituents. This is not possible for a very large class of problems where one can only provide implicit relations between the forces and the kinematical quantities. In certain special cases, one can provide non-invertible expressions for a kinematical quantity in terms of the force, which then...
Mechanical oscillators with dampers defined by implicit constitutive relations
We study the vibrations of lumped parameter systems, the spring being defined by the classical linear constitutive relationship between the spring force and the elongation while the dashpot is described by a general implicit relationship between the damping force and the velocity. We prove global existence of solutions for the governing equations, and discuss conditions that the implicit relation satisfies that are sufficient for the uniqueness of solutions. We also present some counterexamples...
Mémoire sur les équations différentielles linéaires
Method of averaging for the system of functional-differential inclusions
The basic idea of this paper is to give the existence theorem and the method of averaging for the system of functional-differential inclusions of the form ⎧ (0) ⎨ ⎩ (1)
Method of successive approximations for a certain nonlinear third order boundary value problem
Method of the quasilinearization for nonlinear impulsive differential equations with linear boundary conditions.
Methods for studying stability of systems with linear delay.
Metodi di Krylov per sistemi lineari di Equazioni Differenziali Ordinarie
Mild solutions for fractional differential equations with nonlocal conditions.
Mild solutions for semilinear fractional differential equations.
Minimal and maximal solutions for two-point boundary-value problems.
Minimal and maximal solutions of fourth order iterated differential equations with singular nonlinearity
In this paper we are concerned with sufficient conditions for the existence of minimal and maximal solutions of differential equations of the form where is the iterated linear differential operator of order and is a continuous function.
Minimal nonnegative solution of nonlinear impulsive differential equations on infinite interval.
Minimum energy control of fractional positive continuous-time linear systems with bounded inputs
A minimum energy control problem for fractional positive continuous-time linear systems with bounded inputs is formulated and solved. Sufficient conditions for the existence of a solution to the problem are established. A procedure for solving the problem is proposed and illustrated with a numerical example.
Misbehaviour of Solutions of the Differential Equation y' = f(x,y) + ... when the Right Hand Side id Discontinuous.
Mittag-Leffler stability theorem for fractional nonlinear systems with delay.
Mixed automorphic forms and differential equations.
Mixed semicontinuous perturbation of a second order nonconvex sweeping process.
Mixed type semicontinuous differential inclusions in Banach spaces
We consider a class of differential inclusions in (nonseparable) Banach spaces satisfying mixed type semicontinuity hypotheses and prove the existence of solutions for a problem with state constraints. The cases of dissipative type conditions and with time lag are also studied. These results are then applied to control systems.