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.
Möbius transform for linear ordinary differential equations.
Model reduction methods for chaotic systems
Modelling transfer functions with nonzero initial conditions
Modelling Tuberculosis and Hepatitis B Co-infections
Tuberculosis (TB) is the leading cause of death among individuals infected with the hepatitis B virus (HBV). The study of the joint dynamics of HBV and TB present formidable mathematical challenges due to the fact that the models of transmission are quite distinct. We formulate and analyze a deterministic mathematical model which incorporates of the co-dynamics of hepatitis B and tuberculosis. Two sub-models, namely: HBV-only and TB-only sub-models...
Models of learning and the polar decomposition of bounded linear operators.
Modification of the quasilinearization method for the inverse problem.
Modified Adomian decomposition method for singular initial value problems in the second-order ordinary differential equations.
Modifying some foliated dynamical systems to guide their trajectories to specified sub-manifolds
We show that dynamical systems in inverse problems are sometimes foliated if the embedding dimension is greater than the dimension of the manifold on which the system resides. Under this condition, we end up reaching different leaves of the foliation if we start from different initial conditions. For some of these cases we have found a method by which we can asymptotically guide the system to a specific leaf even if we start from an initial condition which corresponds to some other leaf. We demonstrate...
Moments And Differential Equations.
Monodromic differential equations and Riemann theta functions.
Monodromie des systèmes différentiels linéaires à pôles simples sur la sphère de Riemann
Monotone convolution semigroups
We study how a property of a monotone convolution semigroup changes with respect to the time parameter. Especially we focus on "time-independent properties": in the classical case, there are many properties of convolution semigroups (or Lévy processes) which are determined at an instant, and moreover, such properties are often characterized by the drift term and Lévy measure. In this paper we exhibit such properties of monotone convolution semigroups; an example is the concentration of the support...
Monotone iterations for differential equations with a parameter.