Abstract: An infinite horizon linear-quadratic optimal control problem for a singularly perturbed system with multiple point-wise and distributed small delays in the state variable is considered. The ...

1 The College of Mathematical, Inner Mongolia University for Nationalities, Tongliao, China. 2 College of Mathematical Science, Inner Mongolia Normal University, Huhhot, China. where p and are ...

The Annals of Probability, Vol. 34, No. 2 (Mar., 2006), pp. 663-727 (65 pages) We develop a new method to uniquely solve a large class of heat equations, so-called Kolmogorov equations in infinitely ...

The Journal of Integral Equations and Applications, Vol. 4, No. 2 (SPRING 1992), pp. 273-307 (35 pages) This paper formulates several axioms for the ordering structure of state spaces and establishes ...

Abstract: In this article we deal with the Young-Laplace differential equation in finite domain with an infinite boundary condition, describing the capillary pressure difference within the interface ...

Linear semi-infinite programming (LSIP) is a branch of optimisation that focuses on problems where a finite number of decision variables is subject to infinitely many linear constraints. This ...

ABSTRACT: For many control systems in real life, impulses and delays are intrinsic phenomena that do not modify their controllability. So we conjecture that under certain conditions the abrupt changes ...