Results 11 to 20 of about 743,174 (312)

On the relation of delay equations to first-order hyperbolic partial differential equations [PDF]

ESAIM: Control, Optimisation and Calculus of Variations, 2014
This paper establishes the equivalence between systems described by a single first-order hyperbolic partial differential equation and systems described by integral delay equations. System-theoretic results are provided for both classes of systems (among them converse Lyapunov results).
Miroslav Krstic, Iasson Karafyllis
openaire   +6 more sources

On the linear partial differential equation of the first order [PDF]

Osaka Mathematical Journal, 1953
Kasuga, Takashi
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On the homogeneous linear partial differential equation of the first order [PDF]

Osaka Mathematical Journal, 1955
Kasuga, Takashi
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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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On the Chaplighin method for partial differential equations of the first order [PDF]

Annales Polonici Mathematici, 1969
W. Młak, Eric Schechter
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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
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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   +3 more sources

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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Classical and weak solutions of the partial differential equations associated with a class of two-point boundary value problems

Boundary Value Problems, 2018
This paper is concerned with a kind of first-order quasilinear parabolic partial differential equations associated with a class of ordinary differential equations with two-point boundary value problems. We prove that the function given by the solution of
Ning Ma, Zhen Wu
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