Numerical Aspect of Uniform Ensemble Controllability for Linear Systems

Fractional optimal control problems with trajectory-dependent singular coefficients

We investigate a class of fractional optimal control problems governed by semilinear fractional differential equations with trajectory-dependent singular coefficients. The state equation is formulated using the Caputo fractional derivative and contains a singular coefficient of the form (t−s(t))−β\documentclass[12pt]{m...

Well-posedness and Godunov approximation for nonlinear conservation laws with hysteresis

This article studies the Cauchy problem for the scalar conservation law ∂tu+∂tw+∂xf(u)=0,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$...

Controlling subsets of state variables in epidemic models: a time-scale approach

A least squares space-time approach for parabolic equations

We propose a least squares formulation for abstract parabolic equations in the natural L2(0,T;V⋆)×H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{do...

Non-trivial Periodic Solution to a Second-Order Delay Equation with Bistable Nonlinearity

Global solvability for a class of variable-coefficient Vekua-type operators on compact lie groups

We investigate the global solvability of a class of Vekua-type operators in the form: Pu=Lu-(s(t)+iδq(t))·u-αq(t)u¯,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}...