Search · four archives
Search · four archives
17 papers · ranked by Valyu relevance
Brahim Benhammouda, Hector Vazquez-Leal
This work presents an analytical solution of some nonlinear delay differential equations (DDEs) with variable delays. Such DDEs are difficult to treat numerically and cannot be solved by existing general purpose codes. A new method of steps combined with the differential transform method (DTM) is proposed as a powerful…
Bogdan Căruntu, Constantin Bota
We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a…
Leping Sun
This paper is concerned with the backward differential formula or BDF methods for a class of nonlinear 2-delay differential algebraic equations. We obtain two sufficient conditions under which the methods are stable and asymptotically stable. At last, examples show that our methods are true.
Zejian Dai, Bo Du, Carla M.A. Pinto, Julio Rebelo + 1 more
In this paper, we study two types of second-order nonlinear differential equations with variable coefficients and mixed delays. Based on Krasnoselskii’s fixed point theorem, the existence results of positive periodic solution are established. It should be pointed out that the equations we studied are more general.…
Rohul Amin, Shah Nazir, Iván García-Magariño
Wireless sensor network and industrial internet of things have been a growing area of research which is exploited in various fields such as smart home, smart industries, smart transportation, and so on. There is a need of a mechanism which can easily tackle the problems of nonlinear delay integro-differential equations…
Yunhua Ye, Haihua Liang
Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equation y^{n+2}t+pty^{n}t+qtf\bigly\biglgt\bigr\bigr=0 will converge to zero or oscillate, under some conditions listed in the theorems of the present paper.…
Han Xu, Yinlai Jin
We study a kind of vector singular perturbed delay-differential equations. By using the methods of boundary function and fractional steps, we construct the formula of asymptotic expansion and confirm the interior layer at t = σ. Meanwhile, on the basis of functional analysis skill, the existence of the smooth solution…
Amber Shaikh, M. Asif Jamal, Fozia Hanif, M. Sadiq Ali Khan + 2 more
'Syed Inayatullah' 'Bedreddine Ainseba'] To enrich any model and its dynamics introduction of delay is useful, that models a precise description of real-life phenomena. Differential equations in which current time derivatives count on the solution and its derivatives at a prior time are known as delay differential…
Dongmei Xia, Kaiyuan Chen, Lin Sun, Guojin Qin
This study delves into neutral-type systems (NTSs), emphasizing the critical role of defining precise reachable set (RS) boundaries for safe and efficient system design and operation. The investigation notably addresses the challenges posed by time-varying delays, applying Lyapunov’s direct method alongside advanced…
Quanmin Zhu, Jianhua Zhang, Weicun Zhang, José María Amigó
This study presents a general framework for the control of unknown dynamic systems with unknown input delay. A concise output feedback control system is structured with tuning stabilization/dynamic response by an output feedback low gain, removing steady state error against step reference with a feedforward gain. A…
Gemeda Tolessa Lubo, Gemechis File Duressa
Objectives The main aim of this paper is to develop a linear B-spline finite element method for solving generalized diffusion equations with delay. The linear B-spline basis function is used to discretize the space variable. The time discretization process is based on Crank-Nicolson. The benefit of the scheme is that…
Kejun Zhuang, Gao Jia
The diffusive logistic growth model with time delay and feedback control is considered. First, the well-posedness and permanence of solutions are discussed by using some comparison techniques. Then, the sufficient conditions for stability of nonnegative constant steady states are established, and the occurrence of Hopf…
Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, Raúl Alcaraz + 3 more
'José Francisco Gómez-Aguilar' 'Stelios Bekiros' 'Yu-Ming Chu'] A novel approach to solve optimal control problems dealing simultaneously with fractional differential equations and time delay is proposed in this work. More precisely, a set of global radial basis functions are firstly used to approximate the states and…
Li Zuo, Fengtai Mei
Since the nonlinear parabolic equation has many variables, its calculation process is mostly an algebraic operation, which makes it difficult to express the discrete process concisely, which makes it difficult to effectively solve the two grid algorithm problems and the convergence problem of reaction diffusion. The…
M. Abul Kawser, M. Ali Akbar, M. Ashrafuzzaman Khan, Hassan Ali Ghazwani
'Hassan Ali Ghazwani'] This article effectively establishes the exact soliton solutions for the Boussinesq model, characterized by time-dependent coefficients, employing the advanced modified simple equation, generalized Kudryashov and modified sine-Gordon expansion methods. The adaptive applicability of the Boussinesq…
Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi
This paper presents a new approach for finding exact solutions to certain classes of nonlinear partial differential equations (NLPDEs) by combining the variation of parameters method with classical techniques such as the method of characteristics. Our primary focus is on NLPDEs of the form…
Timilehin Kingsley Akinfe, Adedapo Chris Loyinmi
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki integral transform (an improved version of Laplace transform) and a modified differential transform called the projected differential transform (PDTM) have been implemented to solve the generalized Burgers-Fisher's equation…