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Analytical solutions for phase transitions in a slender elastic cylinder under nondeforming and other boundary conditions
Comparison of quarterplane and twopoint boundary value problems: The KdVequation
1.  Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607, United States 
2.  Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee, 38152, United States 
3.  Department of Mathematics, Virginia Tech, Blacksburg, VA 24061, United States 
4.  Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 452210025, United States 
[1] 
Jerry Bona, Hongqiu Chen, Shu Ming Sun, B.Y. Zhang. Comparison of quarterplane and twopoint boundary value problems: the BBMequation. Discrete & Continuous Dynamical Systems  A, 2005, 13 (4) : 921940. doi: 10.3934/dcds.2005.13.921 
[2] 
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 
[3] 
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 
[4] 
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 
[5] 
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 
[6] 
ChanGyun Kim, YongHoon Lee. A bifurcation result for two point boundary value problem with a strong singularity. Conference Publications, 2011, 2011 (Special) : 834843. doi: 10.3934/proc.2011.2011.834 
[7] 
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 
[8] 
Marta GarcíaHuidobro, Raul Manásevich. A three point boundary value problem containing the operator. Conference Publications, 2003, 2003 (Special) : 313319. doi: 10.3934/proc.2003.2003.313 
[9] 
John R. Graef, Bo Yang. Multiple positive solutions to a three point third order boundary value problem. Conference Publications, 2005, 2005 (Special) : 337344. doi: 10.3934/proc.2005.2005.337 
[10] 
John R. Graef, Johnny Henderson, Bo Yang. Positive solutions to a fourth order three point boundary value problem. Conference Publications, 2009, 2009 (Special) : 269275. doi: 10.3934/proc.2009.2009.269 
[11] 
Vladimir V. Varlamov. On the initial boundary value problem for the damped Boussinesq equation. Discrete & Continuous Dynamical Systems  A, 1998, 4 (3) : 431444. doi: 10.3934/dcds.1998.4.431 
[12] 
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 
[13] 
NingAn Lai, Yi Zhou. Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions. Communications on Pure & Applied Analysis, 2018, 17 (4) : 14991510. doi: 10.3934/cpaa.2018072 
[14] 
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 
[15] 
WenChiao Cheng. Twopoint preimage entropy. Discrete & Continuous Dynamical Systems  A, 2007, 17 (1) : 107119. doi: 10.3934/dcds.2007.17.107 
[16] 
Changming Song, Hong Li, Jina Li. Initial boundary value problem for the singularly perturbed Boussinesqtype equation. Conference Publications, 2013, 2013 (special) : 709717. doi: 10.3934/proc.2013.2013.709 
[17] 
Shaoyong Lai, Yong Hong Wu, Xu Yang. The global solution of an initial boundary value problem for the damped Boussinesq equation. Communications on Pure & Applied Analysis, 2004, 3 (2) : 319328. doi: 10.3934/cpaa.2004.3.319 
[18] 
Jeffrey W. Lyons. An application of an avery type fixed point theorem to a second order antiperiodic boundary value problem. Conference Publications, 2015, 2015 (special) : 775782. doi: 10.3934/proc.2015.0775 
[19] 
Sunghan Kim, KiAhm Lee, Henrik Shahgholian. Homogenization of the boundary value for the Dirichlet problem. Discrete & Continuous Dynamical Systems  A, 2019, 0 (0) : 122. doi: 10.3934/dcds.2019234 
[20] 
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 
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