Results 61 to 70 of about 78,497 (174)

On the Linear Quadratic Optimal Control for Systems Described by Singularly Perturbed Itô Differential Equations with Two Fast Time Scales

Axioms, 2019
In this paper a stochastic optimal control problem described by a quadratic performance criterion and a linear controlled system modeled by a system of singularly perturbed Itô differential equations with two fast time scales is considered.
Vasile Drăgan
doaj   +1 more source

Wavelets collocation method for singularly perturbed differential–difference equations arising in control system

Results in Applied Mathematics
In this paper, we present a wavelet collocation method for efficiently solving singularly perturbed differential–difference equations (SPDDEs) and one-parameter singularly perturbed differential equations (SPDEs) taking into account the singular ...
Shahid Ahmed, Shah Jahan, Khursheed J. Ansari, Kamal Shah, Thabet Abdeljawad   +4 more
doaj   +1 more source

A parameter uniform almost first order convergent numerical method for non-linear system of singularly perturbed differential equations

Biomath, 2016
In this paper an initial value problem for aВ non-linear system of two singularly perturbed first orderВ differential equations is considered on the interval (0,1]. The components of the solution of this system exhibit initialВ layers at 0.
Ishwariya Raj, Princy Mercy Johnson, John J.H Miller, Valarmathi Sigamani   +3 more
doaj   +1 more source

Heteroclinic solutions in singularly perturbed discontinuous differential equations: a non-generic case

Electronic Journal of Qualitative Theory of Differential Equations
We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation
Flaviano Battelli, Michal Fečkan, JinRong Wang   +2 more
doaj   +1 more source

A robust computational technique for a system of singularly perturbed reaction–diffusion equations

International Journal of Applied Mathematics and Computer Science, 2014
In this paper, a singularly perturbed system of reaction–diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh.
Kumar Vinod, Bawa Rajesh K., Lal Arvind K.   +2 more
doaj   +1 more source

A Parameter Uniform Almost First Order Convergent Numerical Method for a Semi-Linear System of Singularly Perturbed Delay Differential Equations

Biomath, 2014
In this paper an initial value problem for asemi-linear system of two singularly perturbed first order delay differential equations is considered on the interval(0,2]. The components of the solution of this system exhibit initial layers at 0 and interior
Nagaranjan Shivaranjan, John J H Miller, Sigmani Valarmathi   +2 more
doaj   +1 more source

Fourth-order fitted mesh scheme for semilinear singularly perturbed reaction-diffusion problems. [PDF]

BMC Res Notes, 2023
Reda BT, Bullo TA, Duressa GF.
europepmc   +1 more source

Canards and Homoclinic Bifurcations for a Singularly Perturbed Rosenzweig–MacArthur Model with the Generalist Predator

Mathematics
In this paper, we investigate the multi-scale dynamics of a singularly perturbed Rosenzweig–MacArthur model with a generalist predator and identify dynamical phenomena, including equilibrium bifurcations, supercritical or subcritical singular Hopf ...
Xiao Wu, Shuaiwen Dan, Feng Xie
doaj   +1 more source

On Step-Like Contrast Structure of Singularly Perturbed Systems

Boundary Value Problems, 2009
The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system.
Mingkang Ni, Zhiming Wang
doaj   +1 more source

Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]

BMC Res Notes, 2023
Negero NT.
europepmc   +1 more source