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Structure of formal solutions of nonlinear First Order Singular Partial Differential Equations in Complex Domain (Hyperbolic Equations and Irregularities)

open access: yesStructure of formal solutions of nonlinear First Order Singular Partial Differential Equations in Complex Domain (Hyperbolic Equations and Irregularities)
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Hamilton flows and Lebesgue integral related to first order nonlinear hyperbolic equations (Qualitative theory of functional equations and its application to mathematical science)

open access: yesHamilton flows and Lebesgue integral related to first order nonlinear hyperbolic equations (Qualitative theory of functional equations and its application to mathematical science)
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Numerical Solution by the CESE Method of a First-Order Hyperbolic Form of the Equations of Dynamic Nonlinear Elasticity

Journal of Vibration and Acoustics, 2010
This paper reports the application of the space-time conservation element and solution element (CESE) method to the numerical solution of nonlinear waves in elastic solids. The governing equations consist of a pair of coupled first-order nonlinear hyperbolic partial differential equations, formulated in the Eulerian frame.
Lixiang Yang   +3 more
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An efficient method for solving nonlocal initial-boundary value problems for linear and nonlinear first-order hyperbolic partial differential equations

Journal of Applied Mathematics and Computing, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lazhar Bougoffa
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Non-fragile guaranteed cost fuzzy control for nonlinear first-order hyperbolic partial differential equation systems

International Journal of Computer Mathematics, 2014
This paper concerns the non-fragile guaranteed cost control for nonlinear first-order hyperbolic partial differential equations (PDEs), and the case of hyperbolic PDE systems with parameter uncertainties is also addressed. A Takagi–Sugeno (T–S) fuzzy hyperbolic PDE model is presented to exactly represent the nonlinear hyperbolic PDE system.
Minglai Chen, Junmin Li, Weiyuan Zhang
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Nonlinear Inverse Problems for First Order Hyperbolic Equations

Journal of Mathematical Sciences
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Kozhanov, Alexandr   +1 more
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Cauchy Problem for Diagonalized System of Nonlinear Hyperbolic Equations of First Order

Journal of Mathematical Fluid Mechanics, 2005
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