Results 91 to 100 of about 6,844 (227)

Multivariable PID using singularly perturbed system [PDF]

open access: yes, 2014
The paper investigates the possibilities of using the singularly perturbation method in a multivariable proportional-integral-derivative (MPID) controller design.
Nurul Nadiah Zainal Abidin
core   +2 more sources

Quasilinear and quadratic singularly perturbed periodic boundary value problem [PDF]

open access: yes, 2000
summary:The problem of existence and asymptotic behavior of solutions of the quasilinear and quadratic singularly perturbed periodic boundary value problem as a small parameter at highest derivative tends to zero is ...
Vrábeľ, Róbert
core  

Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
doaj   +1 more source

Periodic Solutions with a Boundary Layer of Reaction–Diffusion Equations with Singularly Perturbed Neumann Boundary Conditions

open access: yes, 2014
We consider singularly perturbed reaction-diffusion equations with singularly perturbed Neumann boundary conditions. We establish the existence of a time-periodic solution $u(x,t,\ve)$ with boundary layers and derive conditions for their asymptotic ...
Schneider, Klaus R.   +3 more
core   +1 more source

Asymptotic estimates of the solution for a singularly perturbed Cauchy problem

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
The article focuses on the initial problem for a third-order linear integro-differential equation with a small parameter at the higher derivatives, assuming that the roots of the additional characteristic equation have opposite signs.
N.U. Bukanay   +2 more
doaj   +1 more source

Septic B-spline method for second order self-adjoint singularly perturbed boundary-value problems

open access: yesAin Shams Engineering Journal, 2018
In the present paper, we develop a septic B-spline method for solving a self-adjoint singularly perturbed two-point boundary value problem. This method is applied directly to the numerical solution of the problems without reducing its order.
Ram Kishun Lodhi, Hradyesh Kumar Mishra
doaj   +1 more source

On the method of lines for singularly perturbed partial differential equations [PDF]

open access: yes, 2017
Magister Scientiae - MScMany chemical and physical problems are mathematically described by partial differential equations (PDEs). These PDEs are often highly nonlinear and therefore have no closed form solutions.
Mbroh, Nana Adjoah
core  

Singularly perturbed integral equations

open access: yes, 2006
We study singularly perturbed Fredholm equations of the second kind. We give sufficient conditions for existence and uniqueness of solutions and describe the asymptotic behavior of the solutions.
Shubin, Carol
core   +1 more source

Asymptotic solutions of a singularly perturbed integro-differential system with an unstable spectral value of exponential inhomogeneity

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
This article examines an integro-differential singularly perturbed initial value problem with exponential inhomogeneity and with a spectral value that turns zero at an isolated point in time.
A. A. Bobojanov   +2 more
doaj   +1 more source

The Contrast Structures for a Class of Singularly Perturbed Systems with Heteroclinic Orbits

open access: yesDiscrete Dynamics in Nature and Society, 2016
Singularly perturbed problems are often used as the models of ecology and epidemiology. In this paper, a class of semilinear singularly perturbed systems with contrast structures are discussed.
Han Xu, Yinlai Jin
doaj   +1 more source

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