Frequently Hypercyclic and Chaotic Behavior of Some First-Order Partial Differential Equation
Abstract and Applied Analysis, 2013 We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup.
Cheng-Hung Hung, Yu-Hsien Chang
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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
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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
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Hyers–Ulam stability of a first order partial differential equation
, 2011 Nicolaie Lungu, Dorian Popa
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Numerical solution of first‐order hyperbolic partial differential‐difference equation with shift [PDF]
, 2009 Paramjeet Singh, Kapil K. Sharma
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The Cauchy problem for a nonlinear first order partial differential equation
, 1969 Wendell H. Fleming
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Turbulent solutions of a first order partial differential equation
Journal of Differential Equations, 1985 Krzysztof Łoskot
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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 +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
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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
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