Difference schemes for fourth-order one-dimensional equations with nonlinear boundary condition

I. P. Gavrilyuk; L. D. Grekov

doi:10.1007/bf01098141

Difference schemes for fourth-order one-dimensional equations with nonlinear boundary condition

Journal of Soviet Mathematics ◽

10.1007/bf01098141 ◽

1993 ◽

Vol 67 (3) ◽

pp. 3064-3069

Author(s):

I. P. Gavrilyuk ◽

L. D. Grekov

Keyword(s):

Boundary Condition ◽

Fourth Order ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Difference Schemes ◽

One Dimensional

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Stabilization of One-Dimensional Wave Equation With Nonlinear Boundary Condition Subject to Boundary Control Matched Disturbance

IEEE Transactions on Automatic Control ◽

10.1109/tac.2018.2874746 ◽

2019 ◽

Vol 64 (7) ◽

pp. 3068-3073 ◽

Cited By ~ 8

Author(s):

Jun-Jun Liu ◽

Jun-Min Wang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Boundary Control ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Dimensional Wave

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Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation

Mathematical Notes ◽

10.1134/s0001434620070123 ◽

2020 ◽

Vol 108 (1-2) ◽

pp. 123-136

Author(s):

S. S. Kharibegashvili ◽

O. M. Jokhadze

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Semilinear Wave Equation

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An iterative kernel based method for fourth order nonlinear equation with nonlinear boundary condition

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2017.12.002 ◽

2018 ◽

Vol 59 ◽

pp. 544-552 ◽

Cited By ~ 13

Author(s):

Babak Azarnavid ◽

Kourosh Parand ◽

Saeid Abbasbandy

Keyword(s):

Boundary Condition ◽

Nonlinear Equation ◽

Fourth Order ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Order Nonlinear Equation

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Chaotic vibration of the one-dimensional linear wave equation with a van der Pol nonlinear boundary condition

Journal of Control Theory and Applications ◽

10.1007/s11768-004-0040-8 ◽

2004 ◽

Vol 2 (4) ◽

pp. 358-364

Author(s):

Guogang Liu ◽

Yi Zhao

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Linear Wave ◽

Van Der Pol ◽

Linear Wave Equation ◽

One Dimensional ◽

Chaotic Vibration ◽

The One

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Unsteady One-Dimensional Heat Conduction With a Nonlinear Boundary Condition

Journal of Heat Transfer ◽

10.1115/1.3687130 ◽

1964 ◽

Vol 86 (2) ◽

pp. 298-299 ◽

Cited By ~ 8

Author(s):

P. D. Richardson

Keyword(s):

Boundary Condition ◽

Heat Conduction ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional

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Existence theorems for the one-dimensional singular p-Laplacian equation with a nonlinear boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.10.022 ◽

2005 ◽

Vol 182 (1) ◽

pp. 188-210 ◽

Cited By ~ 12

Author(s):

Haishen Lü ◽

Donal O’Regan ◽

Ravi P. Agarwal

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Existence Theorems ◽

One Dimensional ◽

Laplacian Equation ◽

The One

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On the Solvability of a Mixed Problem for an One-dimensional Semilinear Wave Equation with a Nonlinear Boundary Condition

Journal of Contemporary Mathematical Analysis ◽

10.3103/s1068362318050011 ◽

2018 ◽

Vol 53 (5) ◽

pp. 247-259

Author(s):

S. S. Kharibegashvili ◽

N. N. Shavlakadze ◽

O. M. Jokhadze

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Mixed Problem ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Semilinear Wave Equation

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Nonisotropic spatiotemporal chaotic vibrations of the one-dimensional wave equation with a mixing transport term and general nonlinear boundary condition

Journal of Mathematical Physics ◽

10.1063/1.3486070 ◽

2010 ◽

Vol 51 (10) ◽

pp. 102703 ◽

Cited By ~ 10

Author(s):

Liangliang Li ◽

Yuanlong Chen ◽

Yu Huang

Keyword(s):

Boundary Condition ◽

Wave Equation ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

One Dimensional ◽

Chaotic Vibrations ◽

The One ◽

Transport Term ◽

Dimensional Wave

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Modal energy exchanges in an impulsively loaded beam with a geometrically nonlinear boundary condition: computation and experiment

Nonlinear Dynamics ◽

10.1007/s11071-020-06156-7 ◽

2021 ◽

Author(s):

Alireza Mojahed ◽

Yang Liu ◽

Lawrence A. Bergman ◽

Alexander F. Vakakis

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Geometrically Nonlinear ◽

Energy Exchanges

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Existence and Non-existence Results for a Quasilinear Problem with Nonlinear Boundary Condition

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6699 ◽

2000 ◽

Vol 244 (1) ◽

pp. 169-183 ◽

Cited By ~ 12

Author(s):

Florica-Corina Şt. Cîrstea ◽

Vicenţiu D. Rădulescu

Keyword(s):

Boundary Condition ◽

Nonlinear Boundary ◽

Nonlinear Boundary Condition ◽

Existence Results ◽

Quasilinear Problem

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