Results 11 to 20 of about 55,126 (291)

Fractal First-Order Partial Differential Equations [PDF]

Archive for Rational Mechanics and Analysis, 2006
The present paper is concerned with semilinear partial differential equations involving a particular pseudo-differential operator. It investigates both fractal conservation laws and non-local Hamilton-Jacobi equations. The starting point is a new formula for the operator.
Droniou, Jérôme, Imbert, Cyril
openaire   +5 more sources

Nonlinear differential equation with first order partial derivatives

Вестник КазНУ. Серия математика, механика, информатика, 2018
The asymptotic behavior of solutions of a nonlinear differential equation with first-order partial derivatives solved with respect to one of the derivatives is investigated.
T. М. Aldibekov, M. M. Aldazharova
doaj   +3 more sources

On the hyperbolic type differential equation with time involution [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In the present paper, the initial value problem for the hyperbolic type involutory in t second order linear partial differential equation is studied.
A. Ashyralyev, A. Ashyralyyev, B. Abdalmohammed   +2 more
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Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
doaj   +1 more source

Maillet type theorem for singular first order nonlinear partial differential equations of totally characteristic type. Part II [PDF]

Opuscula Mathematica, 2015
In this paper, we study the following nonlinear first order partial differential equation: \[f(t,x,u,\partial_t u,\partial_x u)=0\quad\text{with}\quad u(0,x)\equiv 0.\] The purpose of this paper is to determine the estimate of Gevrey order under the ...
Akira Shirai
doaj   +1 more source

The Z5 transformation for solving quasi-linear partial differential equations

Partial Differential Equations in Applied Mathematics, 2023
The Z1-Z4 transformations proposed in our previous papers have acquired remarkable success in the field of linear partial differential equations, general solutions of a large number of typical equations were obtained for the first time, and exact ...
Hong Lai Zhu
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λ-Symmetry and μ-Symmetry Reductions and Invariant Solutions of Four Nonlinear Differential Equations

Mathematics, 2020
On one hand, we construct λ-symmetries and their corresponding integrating factors and invariant solutions for two kinds of ordinary differential equations.
Yu-Shan Bai, Jian-Ting Pei, Wen-Xiu Ma
doaj   +1 more source

Galloping Equation and Primary Resonance Investigation of Overhead Transmission Lines

Zhongguo dianli, 2021
The galloping of overhead transmission lines is one of the main causes for line damages. How to accurately describe the galloping of transmission lines is a worthy topic.
Guangyun MIN, Xiaohui LIU, Ceshi SUN, Mengqi CAI   +3 more
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Quantum-Solving Algorithm for d’Alembert Solutions of the Wave Equation

Entropy, 2022
When faced with a quantum-solving problem for partial differential equations, people usually transform such problems into Hamiltonian simulation problems or quantum-solving problems for linear equation systems.
Yuanye Zhu
doaj   +1 more source

ON SOME PROBLEMS FOR LOADED PARTIAL DIFFERENTIAL EQUATION OF THE FIRST ORDER

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016
For equations of the form ux + uy = lux(x;0) + muy(0;y) the investigation on the correctness of the number of initial value problems in bounded and unbounded domains.
Attaev A. Kh.
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