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Comparison of quarterplane and twopoint boundary value problems: the BBMequation
1.  Department of Mathematics, Statistics and Computer Science, The University of Illinois at Chicago , 851 S. Morgan Street MC 249, Chicago, Illinois 606077045 
2.  Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee, and Department of Mathematics, Statistics & Computer Science, University of Illinois at Chicago, Chicago, Illinois, United States 
3.  Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, United States 
4.  Department of Mathematics, University of Cincinnati, Cincinnati, Ohio, United States 
[1] 
Jerry L. Bona, Hongqiu Chen, ShuMing Sun, BingYu Zhang. Comparison of quarterplane and twopoint boundary value problems: The KdVequation. Discrete & Continuous Dynamical Systems  B, 2007, 7 (3) : 465495. doi: 10.3934/dcdsb.2007.7.465 
[2] 
Feliz Minhós, A. I. Santos. Higher order twopoint boundary value problems with asymmetric growth. Discrete & Continuous Dynamical Systems  S, 2008, 1 (1) : 127137. doi: 10.3934/dcdss.2008.1.127 
[3] 
XiaoYu Zhang, Qing Fang. A sixth order numerical method for a class of nonlinear twopoint boundary value problems. Numerical Algebra, Control & Optimization, 2012, 2 (1) : 3143. doi: 10.3934/naco.2012.2.31 
[4] 
V. A. Dougalis, D. E. Mitsotakis, J.C. Saut. On initialboundary value problems for a Boussinesq system of BBMBBM type in a plane domain. Discrete & Continuous Dynamical Systems  A, 2009, 23 (4) : 11911204. doi: 10.3934/dcds.2009.23.1191 
[5] 
Jerry Bona, Jiahong Wu. Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane. Discrete & Continuous Dynamical Systems  A, 2009, 23 (4) : 11411168. doi: 10.3934/dcds.2009.23.1141 
[6] 
K. Q. Lan, G. C. Yang. Optimal constants for two point boundary value problems. Conference Publications, 2007, 2007 (Special) : 624633. doi: 10.3934/proc.2007.2007.624 
[7] 
Wenming Zou. Multiple solutions results for twopoint boundary value problem with resonance. Discrete & Continuous Dynamical Systems  A, 1998, 4 (3) : 485496. doi: 10.3934/dcds.1998.4.485 
[8] 
Sofia Giuffrè, Giovanna Idone. On linear and nonlinear elliptic boundary value problems in the plane with discontinuous coefficients. Discrete & Continuous Dynamical Systems  A, 2011, 31 (4) : 13471363. doi: 10.3934/dcds.2011.31.1347 
[9] 
Hongqiu Chen. Wellposedness for a higherorder, nonlinear, dispersive equation on a quarter plane. Discrete & Continuous Dynamical Systems  A, 2018, 38 (1) : 397429. doi: 10.3934/dcds.2018019 
[10] 
Jerry L. Bona, Hongqiu Chen, ChunHsiung Hsia. Wellposedness for the BBMequation in a quarter plane. Discrete & Continuous Dynamical Systems  S, 2014, 7 (6) : 11491163. doi: 10.3934/dcdss.2014.7.1149 
[11] 
Runzhang Xu, Mingyou Zhang, Shaohua Chen, Yanbing Yang, Jihong Shen. The initialboundary value problems for a class of sixth order nonlinear wave equation. Discrete & Continuous Dynamical Systems  A, 2017, 37 (11) : 56315649. doi: 10.3934/dcds.2017244 
[12] 
Nakao Hayashi, Seishirou Kobayashi, Pavel I. Naumkin. Nonlinear dispersive wave equations in two space dimensions. Communications on Pure & Applied Analysis, 2015, 14 (4) : 13771393. doi: 10.3934/cpaa.2015.14.1377 
[13] 
Shenghao Li, Min Chen, BingYu Zhang. A nonhomogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane. Discrete & Continuous Dynamical Systems  A, 2018, 38 (5) : 25052525. doi: 10.3934/dcds.2018104 
[14] 
ShaoYuan Huang, ShinHwa Wang. On Sshaped bifurcation curves for a twopoint boundary value problem arising in a theory of thermal explosion. Discrete & Continuous Dynamical Systems  A, 2015, 35 (10) : 48394858. doi: 10.3934/dcds.2015.35.4839 
[15] 
Jeremiah Birrell. A posteriori error bounds for two point boundary value problems: A green's function approach. Journal of Computational Dynamics, 2015, 2 (2) : 143164. doi: 10.3934/jcd.2015001 
[16] 
Gen Nakamura, Michiyuki Watanabe. An inverse boundary value problem for a nonlinear wave equation. Inverse Problems & Imaging, 2008, 2 (1) : 121131. doi: 10.3934/ipi.2008.2.121 
[17] 
Felix Sadyrbaev. Nonlinear boundary value problems of the calculus of variations. Conference Publications, 2003, 2003 (Special) : 760770. doi: 10.3934/proc.2003.2003.760 
[18] 
Feliz Minhós, Rui Carapinha. On higher order nonlinear impulsive boundary value problems. Conference Publications, 2015, 2015 (special) : 851860. doi: 10.3934/proc.2015.0851 
[19] 
John V. Baxley, Philip T. Carroll. Nonlinear boundary value problems with multiple positive solutions. Conference Publications, 2003, 2003 (Special) : 8390. doi: 10.3934/proc.2003.2003.83 
[20] 
J. R. L. Webb. Remarks on positive solutions of some three point boundary value problems. Conference Publications, 2003, 2003 (Special) : 905915. doi: 10.3934/proc.2003.2003.905 
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