Matrix analysis of certain dynamical systems in technics (at linear, nonlinear, or random diff. and int. equations)
Matrix elements for sum of power-law potentials in quantum mechanic using generalized hypergeometric functions.
Matrix exponentials and inversion of confluent Vandermonde matrices.
Maximal and minimal solutions and comparison results for differential equations in abstract cones
Maximal regular boundary value problems in Banach-valued function spaces and applications.
Maximal regularity and Hardy spaces
Maximal regularity for abstract parabolic problems with inhomogeneous boundary data in -spaces
Maximal regularity for second order non-autonomous Cauchy problems
We consider some non-autonomous second order Cauchy problems of the form ü + B(t)u̇ + A(t)u = f(t ∈ [0,T]), u(0) = u̇(0) = 0. We assume that the first order problem u̇ + B(t)u = f(t ∈ [0,T]), u(0) = 0, has -maximal regularity. Then we establish -maximal regularity of the second order problem in situations when the domains of B(t₁) and A(t₂) always coincide, or when A(t) = κB(t).
Maximal regularity of delay equations in Banach spaces
We characterize existence and uniqueness of solutions for an inhomogeneous abstract delay equation in Hölder spaces. The main tool is the theory of operator-valued Fourier multipliers.
Maximal regularity of second-order evolution equations with infinite delay in Banach spaces
By using Fourier multiplier theorems we characterize the existence and uniqueness of periodic solutions for a class of second-order differential equations with infinite delay. We also establish maximal regularity results for the equations in various spaces. An example is provided to illustrate the applications of the results obtained.
Maximal regularity of the discrete harmonic oscillator equation.
Maximum number of limit cycles for generalized Liénard polynomial differential systems
We consider limit cycles of a class of polynomial differential systems of the form where and are positive integers, and have degree and , respectively, for each , and is a small parameter. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of the linear center , using the averaging theory of first and second order.
Maximum principle and its extension for bounded control problems with boundary conditions.
Maximum principle for optimal control of fully coupled forward-backward stochastic differential delayed equations
This paper deals with the optimal control problem in which the controlled system is described by a fully coupled anticipated forward-backward stochastic differential delayed equation. The maximum principle for this problem is obtained under the assumption that the diffusion coefficient does not contain the control variables and the control domain is not necessarily convex. Both the necessary and sufficient conditions of optimality are proved. As illustrating examples, two kinds of linear quadratic...
Maximum principles and boundary value problems for first-order neutral functional differential equations.
Maximum principles and uniqueness results of phi-Laplacian boundary value problems.
Maximum principles for a family of nonlocal boundary value problems.
Maximum Principles for Linear Difference-Differential Opeartors in Periodic Function Spaces.
Maxwell's equations with incident wave as a field source
Mean square exponential stability of stochastic Cohen-Grossberg neural networks with unbounded distributed delays.