Solving a delay differential equation through the Fourier transform

被引：0
|
作者：
Ohira, Kenta [1 ]
Ohira, Toru [2 ]
机构：
[1] Nagoya Univ, Future Value Creat Res Ctr, Grad Sch Informat, Nagoya, Japan
[2] Nagoya Univ, Grad Sch Math, Nagoya, Japan
来源：
PHYSICS LETTERS A | 2025年 / 531卷
关键词：
Delay; Transient oscillation; Fourier transform; STABILITY; SYSTEMS; OSCILLATION;
D O I：
10.1016/j.physleta.2024.130138
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the initial function, we can construct a highly accurate solution to the equation. These findings open new avenues for understanding delay systems, demonstrating the efficacy of Fourier transform techniques in capturing transient oscillatory dynamics.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] Solving Delay Differential Equations through RBF Collocation
    Bernal, Francisco
    Gutierrez, Gail
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2009, 1 (02) : 257 - 272
  • [22] Solving the Schrodinger equation by reduction to a first-order differential operator through a coherent states transform
    Almalki, Fadhel
    Kisil, Vladimir V.
    PHYSICS LETTERS A, 2020, 384 (16)
  • [23] Fourier Transform Inversion Using an Elementary Differential Equation and a Contour Integral
    Talvila, Erik
    AMERICAN MATHEMATICAL MONTHLY, 2019, 126 (08): : 717 - 727
  • [24] A GENERALIZED APPROACH OF FRACTIONAL FOURIER TRANSFORM TO STABILITY OF FRACTIONAL DIFFERENTIAL EQUATION
    Mohanapriya, Arusamy
    Sivakumar, Varudaraj
    Prakash, Periasamy
    KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (04): : 749 - 763
  • [25] Fractional Fourier transform and stability of fractional differential equation on Lizorkin space
    Unyong, Bundit
    Mohanapriya, Arusamy
    Ganesh, Anumanthappa
    Rajchakit, Grienggrai
    Govindan, Vediyappan
    Vadivel, R.
    Gunasekaran, Nallappan
    Lim, Chee Peng
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [26] Fractional Fourier transform and stability of fractional differential equation on Lizorkin space
    Bundit Unyong
    Arusamy Mohanapriya
    Anumanthappa Ganesh
    Grienggrai Rajchakit
    Vediyappan Govindan
    R. Vadivel
    Nallappan Gunasekaran
    Chee Peng Lim
    Advances in Difference Equations, 2020
  • [27] Solving fuzzy Volterra integro-differential equation by fuzzy differential transform method
    Mikaeilvand, N.
    Khakrangin, S.
    Allahviranloo, T.
    PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011, 2011, : 891 - 896
  • [28] Differential transform method for solving Volterra integral equation with separable kernels
    Odibat, Zaid M.
    MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (7-8) : 1144 - 1149
  • [29] The Fourier Transform and the Wave Equation
    Torchinsky, Alberto
    AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (07): : 599 - 609
  • [30] Analyses of glass transition phenomena by solving differential equation with delay effect
    Takeuchi, A.
    Inoue, A.
    Journal of Alloys and Compounds, 2007, 434-435 (SPEC. ISS.): : 131 - 134
12345