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 ...
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 ...
A systematic framework is presented for the construction of hierarchies of soliton equations. This is realised by considering scalar linear integral equations and their representations in terms of ...
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 ...
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 ...
Sufficient conditions are given for the existence, uniqueness and finite-dimensional approximation of the solution to a first-order infinite-dimensional vector differential equation. Given a suitable ...
We study the infinite integrable nonlinear Schrödinger equation hierarchy beyond the Lakshmanan-Porsezian-Daniel equation which is a particular (fourth-order) case of the hierarchy. In particular, we ...
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