Results 21 to 30 of about 13,060 (202)
The linear quadratic regulator problem for a class of controlled systems modeled by singularly perturbed Ito differential equations [PDF]
, 2012 This paper discusses an infinite-horizon linear quadratic (LQ) optimal control problem involving state- and control-dependent noise in singularly perturbed stochastic systems.
Assawinchaichote W. +8 more
core +2 more sources
Robust numerical method for singularly perturbed differential equations with large delay
Demonstratio Mathematica, 2021 In this paper, a singularly perturbed differential equation with a large delay is considered. The considered problem contains a large delay parameter on the reaction term. The solution of the problem exhibits the interior layer due to the delay parameter
Abdulla Murad Ibrahim +2 more
doaj +1 more source
A High-Order Method for Stiff Boundary Value Problems with Turning Points [PDF]
, 1987 This paper describes some high-order collocation-like methods for the numerical solution of stiff boundary-value problems with turning points. The presentation concentrates on the implementation of these methods in conjunction with the implementation of ...
Brown, David L., Lorenz, Jens
core +1 more source
Exponential stability for singularly perturbed systems with state delays
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper the problem of stability of the zero solution of singularly perturbed system of linear differential equation with state delays is investigated.
V. Dragan, A. Ionita
doaj +1 more source
A parameter robust numerical method for a two dimensional reaction-diffusion problem. [PDF]
, 2005 In this paper a singularly perturbed reaction-diffusion partial differential equation in two space dimensions is examined. By means of an appropriate decomposition, we describe the asymptotic behaviour of the solution of problems of this kind.
Clavero, C. +2 more
core +1 more source
Ain Shams Engineering Journal, 2017 This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy +2 more
doaj +1 more source
Journal of Applied Mathematics, 2014 We are concerned with the singularly perturbed Boussinesq-type equation including the singularly perturbed sixth-order Boussinesq equation, which describes the bidirectional propagation of small amplitude and long capillary-gravity waves on the surface ...
Changming Song, Jina Li, Ran Gao
doaj +1 more source
Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Adimurthi +22 more
core +2 more sources
Singularly Perturbed Quadratically Nonlinear Dirichlet Problems [PDF]
Transactions of the American Mathematical Society, 1986 The Dirichlet problem for singularly perturbed elliptic equations of the form ε Δ u = A ( x , u ) ∇ u ⋅ ∇ u + B ( x ,
openaire +2 more sources
Existence and Concentration Behavior of Solutions of the Critical Schrödinger–Poisson Equation in
Mathematics, 2021 In this paper, we study the singularly perturbed problem for the Schrödinger–Poisson equation with critical growth. When the perturbed coefficient is small, we establish the relationship between the number of solutions and the profiles of the ...
Jichao Wang, Ting Yu
doaj +1 more source