Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms

Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms

For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. In demonstrating this set of relations, the current study forges a systematic connection between the...

Full description

Saved in:

Bibliographic Details
Main Authors:	David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr
Format:	Article
Language:	English
Published:	Wiley 2022-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2022/6721360
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function
by: David W. Pravica, et al.
Published: (2014-01-01)

-Advanced Models for Tsunami and Rogue Waves
by: D. W. Pravica, et al.
Published: (2012-01-01)

On the Fourier-Transformed Boltzmann Equation with Brownian Motion
by: Yong-Kum Cho, et al.
Published: (2015-01-01)

Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation
by: Liu Yang
Published: (2014-01-01)

Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations
by: Seyyedeh Roodabeh Moosavi Noori, et al.
Published: (2021-01-01)

Analytic Solution of a Class of Fractional Differential Equations
by: Yue Hu, et al.
Published: (2013-01-01)

On Katugampola Fourier Transform
by: Tariq O. Salim, et al.
Published: (2019-01-01)

Smooth Solutions of a Class of Iterative Functional Differential Equations
by: Houyu Zhao
Published: (2012-01-01)

The Existence of Strong Solutions for a Class of Stochastic Differential Equations
by: Junfei Zhang
Published: (2018-01-01)

Integral Transforms and Fourier Series /
by: Srivastava, A . N.
Published: (2012)

The Fourier Transform and its Applications /
by: Bracewell, Ronald N. (Ronald Newbold), 1921-2007
Published: (2000)

On the Fourier transform and the exchange property
by: Dragu Atanasiu, et al.
Published: (2005-01-01)

On Solutions to a Class of Functional Differential Equations with Time-Dependent Coefficients
by: Muhammad Mohsin, et al.
Published: (2022-01-01)

The Telegraph Equation and Its Solution by Reduced Differential Transform Method
by: Vineet K. Srivastava, et al.
Published: (2013-01-01)

The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations
by: Huafeng Xiao, et al.
Published: (2011-01-01)

Multiple Positive Solutions for Nonlinear Semipositone Fractional Differential Equations
by: Wen-Xue Zhou, et al.
Published: (2012-01-01)

Existence and Multiplicity of Nontrivial Solutions for a Class of Fourth-Order Elliptic Equations
by: Chun Li, et al.
Published: (2013-01-01)

Asymptotically Almost Periodic Solutions for a Class of Stochastic Functional Differential Equations
by: Aimin Liu, et al.
Published: (2014-01-01)

Periodic Solutions for a Class of 𝑛-th Order Functional Differential Equations
by: Bing Song, et al.
Published: (2011-01-01)

Analytical solution of a class of coupled second order differential-difference equations
by: L. Jódar, et al.
Published: (1993-01-01)

Periodic solutions for a class of perturbed sixth-order autonomous differential equations
by: Chems Eddine Berrehail, et al.
Published: (2025-01-01)

On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations
by: Maged Alkilayh
Published: (2024-12-01)

Fourier transforms in generalized Fock spaces
by: John Schmeelk
Published: (1990-01-01)

Solutions of a Class of Deviated-Advanced Nonlocal Problems for the Differential Inclusion x1(t)∈F(t,x(t))
by: A. M. A. El-Sayed, et al.
Published: (2011-01-01)

Variational Approaches for the Existence of Multiple Periodic Solutions of Differential Delay Equations
by: Rong Cheng, et al.
Published: (2010-01-01)

Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order
by: Yang Liu, et al.
Published: (2012-01-01)

Multiple Solutions for a Class of N-Laplacian Equations with Critical Growth and Indefinite Weight
by: Guoqing Zhang, et al.
Published: (2014-01-01)

On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients
by: Jianren Long, et al.
Published: (2014-01-01)

On the finite Fourier transforms of functions with infinite discontinuities
by: Branko Saric
Published: (2002-01-01)

Fast Computation of Singular Oscillatory Fourier Transforms
by: Hongchao Kang, et al.
Published: (2014-01-01)

Fourier Transform Infrared Spectroscopy of “Bisphenol A”
by: Ramzan Ullah, et al.
Published: (2016-01-01)

On Analog of Fourier Transform in Interior of the Light Cone
by: Tatyana Shtepina
Published: (2014-01-01)

Inverse Fourier Transform in the Gamma Coordinate System
by: Yuchuan Wei, et al.
Published: (2011-01-01)

Positive Periodic Solution for the Generalized Neutral Differential Equation with Multiple Delays and Impulse
by: Zhenguo Luo, et al.
Published: (2014-01-01)

Existence and Multiplicity of Solutions to a Boundary Value Problem for Impulsive Differential Equations
by: Chunyan He, et al.
Published: (2013-01-01)

Investigation of Behavior on Solutions of Lane–Emden Complex Differential Equations by a Random Differential Transformation Method
by: Mehmet Merdan, et al.
Published: (2023-01-01)

Asymptotic behaviours of the solutions of neutral type Volterra integro-differential equations and some numerical solutions via differential transform method
by: Yener Altun
Published: (2021-04-01)

Existence of C1-Positive Solutions for a Class of Second-Order Impulsive Differential Equations
by: Hong Li
Published: (2022-01-01)

Some maximum principles for solutions of a class of partial differential equations in Ω⊂ℝn
by: Mohammad Mujalli Al-Mahameed
Published: (2000-01-01)

Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses
by: Zhang Suping, et al.
Published: (2013-01-01)