Global solvability of the Cauchy characteristic problem for one class of nonlinear second order hyperbolic systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.10.056 ◽

2011 ◽

Vol 376 (2) ◽

pp. 750-759

Author(s):

S. Kharibegashvili ◽

B. Midodashvili

Keyword(s):

Hyperbolic Systems ◽

Global Solvability ◽

Second Order ◽

Characteristic Problem ◽

Cauchy Characteristic Problem

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Split generalized-α method: A linear-cost solver for multi-dimensional second-order hyperbolic systems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.113656 ◽

2021 ◽

Vol 376 ◽

pp. 113656

Author(s):

Pouria Behnoudfar ◽

Quanling Deng ◽

Victor M. Calo

Keyword(s):

Hyperbolic Systems ◽

Second Order ◽

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Control Properties for Second-Order Hyperbolic Systems in Anisotropic Cases with Applications in Inhomogeneous and Anisotropic Elastodynamic Systems

SIAM Journal on Control and Optimization ◽

10.1137/17m114203x ◽

2018 ◽

Vol 56 (6) ◽

pp. 4181-4202 ◽

Author(s):

Yunxia Shang ◽

Shumin Li

Keyword(s):

Hyperbolic Systems ◽

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Global solvability for the quasilinear damped wave equation with nonlinear second-order boundary conditions

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00804-5 ◽

2002 ◽

Vol 50 (8) ◽

pp. 1119-1134 ◽

Author(s):

Gleb G. Doronin ◽

Nikolai A. Larkin

Keyword(s):

Wave Equation ◽

Boundary Conditions ◽

Global Solvability ◽

Second Order ◽

Damped Wave Equation

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Exact boundary observability for a kind of second-order quasilinear hyperbolic systems

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-016-1051-8 ◽

2016 ◽

Vol 37 (6) ◽

pp. 803-820

Author(s):

Ke Wang

Keyword(s):

Hyperbolic Systems ◽

Second Order ◽

Quasilinear Hyperbolic Systems ◽

Exact Boundary ◽

Boundary Observability ◽

Exact Boundary Observability

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Differential part of transparent boundary conditions for certain hyperbolic systems of second-order equations

Doklady Mathematics ◽

10.1134/s1064562409030296 ◽

2009 ◽

Vol 79 (3) ◽

pp. 412-414 ◽

Author(s):

I. L. Sofronov

Keyword(s):

Boundary Conditions ◽

Hyperbolic Systems ◽

Second Order ◽

Transparent Boundary Conditions ◽

Second Order Equations ◽

Differential Part

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On the existence or the absence of global solutions of the Cauchy characteristic problem for some nonlinear hyperbolic equations

Boundary Value Problems ◽

10.1155/bvp.2005.359 ◽

2005 ◽

Vol 2005 (3) ◽

pp. 576352 ◽

Author(s):

S Kharibegashvili

Keyword(s):

Hyperbolic Equations ◽

Global Solutions ◽

Nonlinear Hyperbolic Equations ◽

Characteristic Problem ◽

Cauchy Characteristic Problem

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Global solvability for a second order nonlinear neutral delay difference equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.09.050 ◽

2009 ◽

Vol 57 (4) ◽

pp. 587-595 ◽

Author(s):

Zeqing Liu ◽

Yuguang Xu ◽

Shin Min Kang

Keyword(s):

Difference Equation ◽

Global Solvability ◽

Second Order ◽

Delay Difference Equation ◽

Neutral Delay ◽

Delay Difference

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TVD scheme of second-order approximation on a nonstationary adaptive grid for hyperbolic systems

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam-2001-0102 ◽

2001 ◽

Vol 16 (1) ◽

pp. 1-18

Author(s):

V. B. Barakhnin

Keyword(s):

Order Approximation ◽

Hyperbolic Systems ◽

Adaptive Grid ◽

Second Order ◽

Second Order Approximation

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On the solvability of one boundary value problem for one class of semilinear second order hyperbolic systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.12.001 ◽

2013 ◽

Vol 400 (2) ◽

pp. 345-362 ◽

Author(s):

S. Kharibegashvili ◽

B. Midodashvili

Keyword(s):

Boundary Value Problem ◽

Hyperbolic Systems ◽

Boundary Value ◽

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What are second order hyperbolic systems?

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00914286 ◽

1993 ◽

Vol 44 (2) ◽

pp. 290-305 ◽

Author(s):

Franco Bampi ◽

Clara Zordan

Keyword(s):

Hyperbolic Systems ◽

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