[PDF] Top 20 A review on singular perturbed delay differential equations
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A review on singular perturbed delay differential equations
... of singular perturbed differential equations (SPDE) started in year ...of singular perturbation from 1984 to2000. view of singularly perturbed partial differential ... See full document
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Solving Singularly Perturbed Differential-Difference Equations using Special Finite Difference Method
... the singular perturbation problem. A differential equation in which the highest derivative is multiplied by a small positive parameter and containing at least one shift term(delay or advance) is ... See full document
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Parameter uniform numerical method for a singularly perturbed boundary value problem for a linear system of parabolic second order delay differential equations
... singularly perturbed equations of reaction diffusion type with delay is considered and the suggested numerical method has been proved to be first order convergent, with respect to space and time, ... See full document
14
Review Study of Detection of Diabetes Models through Delay Differential Equations
... where V1 Volume of plasma = 3, V2 Volume of interstitial liquid = 11, V3 Volume of the glucose compartment = 10 III: Explicit Two Time Delay Differential Equation Model This is a single [r] ... See full document
16
Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients
... singularly perturbed boundary value ...singularly perturbed one space dimensional parabolic problems in polar ...singularly perturbed one space dimensional parabolic equations with ... See full document
8
Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
... with impulsive initial conditions and derived some sufficient conditions ensuring the exponential stability of solutions for the singular perturbed impulsive delay differential equations SPIDDEs. ... See full document
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Positive Solutions to Singular and Delay Higher-Order Differential Equations on Time Scales
... The purpose of this paper is to investigate further the singular BVP for delay higher- order dynamic equation 1.1. By the use of the fixed point theorem of cone expansion and compression type, results on ... See full document
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Systems of Singularly Perturbed Fractional Integral Equations II
... both differential and integral equations. For ordinary differential equations and integral equations, with continuous kernel, the study is ...singularly perturbed Volterra equa- ... See full document
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Existence of positive solution and Hyers–Ulam stability for a nonlinear singular delay fractional differential equation
... of delay fractional differential equations were first investigated in [20, 21] one decade ...of delay fractional DEs with singularity has been ... See full document
13
Approximate solutions for a class of doubly perturbed stochastic differential equations
... culations on stepwise iterated Ito’s integrals. In the early twentieth century, Carathéodory [13] put forward the Carathéodory approximation scheme for ordinary differential equa- tions. In this scheme, Carathéodory ... See full document
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The coupled method for singularly perturbed Volterra integro differential equations
... singularly perturbed Volterra integral and integro-differential equations include exponential finite difference method, finite dif- ference method, implicit Runge–Kutta method, tension spline collocation ... See full document
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A fitted numerical scheme for second order singularly perturbed delay differential equations via cubic spline in compression
... difference equations can be found in the collection of books, to name a few, Bellman and Cooke [], Driver [], El’sgol’ts and Norkin [], Erneux [], Gopalsamy [], Györi and Ladas [], Halanay [], Kuang [] and ... See full document
14
Singularly Perturbed Parabolic Differential Equations with Turning Point and Retarded Arguments
... singularly perturbed parabolic convection-diffusion problems with bound- ary turning point and retarded ...ordinary differential equations at each time ...of differential equations is ... See full document
6
An Asymptotic Fitted Method for Solving Singularly Perturbed Delay Differential Equations
... of singular Perturbation; O’Malley [1]. The delay parameter was chosen so that the co- efficient of the second derivative of the modified prob- lem gets ... See full document
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A Parameter Robust Method for Singularly Perturbed Delay Differential Equations
... In order to construct parameter-uniform numerical methods for singularly perturbed differential equations, two different techniques are applied. Firstly, the fitted operator approach 20 which has coefficients ... See full document
14
An Exponentially Fitted Method for Singularly Perturbed Delay Differential Equations
... This paper deals with singularly perturbed initial value problem for linear first-order delay differential equation. An exponentially fitted difference scheme is constructed in an equidistant mesh, which ... See full document
9
Approximate Solution of the Singular Perturbation Problem on Chebyshev Gauss Grid
... delay differential equations have attracted the attention of many sciences and ...singularly-perturbed delay differential equations ... See full document
10
Differential Transform Method for Some Delay Differential Equations
... This paper concentrates on the differential transform method (DTM) to solve some delay differen- tial equations (DDEs). Based on the method of steps for DDEs and using the computer algebra sys- tem ... See full document
9
BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS VIA LYAPUNOV FUNCTIONAL
... Differential equations with impulsive effect provide mathematical models for many phenomena and processes in the field of natural sciences and ...functional differential systems has come into ... See full document
9
On Connection between Second Order Delay Differential Equations and Integrodifferential Equations with Delay
... 5 I. Y. Karaca, “Positive solutions for boundary value problems of second-order functional dynamic equations on time scales,” Advances in Difference Equations, vol. 2009, Article ID 829735, 21 pages, 2009. 6 ... See full document
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