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On higher order nonlinear impulsive boundary value problems
Global bifurcation sheet and diagrams of wavepinning in a reactiondiffusion model for cell polarization
1.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, 5202194, Japan 
2.  Department of Communication Engineering and Informatics, The University of ElectroCommunications, 151 Chofugaoka, Chofushi, Tokyo 1828585 
3.  Research Institute for Electronic Science, Hokkaido University, CREST, Japan Science and Technology Agency, N12W7, KitaWard, Sapporo, 0600812, Japan 
4.  Faculty of Engineering, University of Miyazaki, Miyazaki, 8892192 
5.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, Shiga 5202194 
References:
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J. Carr, M. E. Gurtin, and M. Semrod, Structured phase transitions on a finite interval,, Arch. Rational Mech. Anal., 86 (1984), 317. Google Scholar 
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J. Smoller and A.Wasserman, Global bifurcation of steadystate solutions,, J. Differential Equations, 39 (1981), 269. Google Scholar 
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J. Smoller, Shock Waves and Reaction Diffusion Equations,, Springer, (1994). Google Scholar 
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K. Kuto and T. TsujikawaE, Bifurcation structure of steadystates for bistable equations with nonlocal constraint,, Discrete and Continuous Dynamical Systems Supplement, (2013), 467. Google Scholar 
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S.KosugiE Y. Morita, and S. YotsutaniE, Stationary solutions to the onedimensional CahnHilliard equation: Proof by the complete elliptic integrals,, Discrete and Continuous Dynamical Systems, 19 (2007), 609. Google Scholar 
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Y.Lou, WM.Ni and S.Yotsutani, On a limiting system in the LotkaVoltera competition with cross diffusion,, Discrete Contin. Dyn. Syst., 10 (2004), 435. Google Scholar 
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Y.Mori, A.Jilkine and L.EdelsteinKeshet, Asymptotic and bifurcation analysis of wavepinning in a reactiondiffusion model for cell polarization, SIAM JE ApplE Math., 71 (2011), 1401. Google Scholar 
show all references
References:
[1] 
J. Carr, M. E. Gurtin, and M. Semrod, Structured phase transitions on a finite interval,, Arch. Rational Mech. Anal., 86 (1984), 317. Google Scholar 
[2] 
J. Smoller and A.Wasserman, Global bifurcation of steadystate solutions,, J. Differential Equations, 39 (1981), 269. Google Scholar 
[3] 
J. Smoller, Shock Waves and Reaction Diffusion Equations,, Springer, (1994). Google Scholar 
[4] 
K. Kuto and T. TsujikawaE, Bifurcation structure of steadystates for bistable equations with nonlocal constraint,, Discrete and Continuous Dynamical Systems Supplement, (2013), 467. Google Scholar 
[5] 
S.KosugiE Y. Morita, and S. YotsutaniE, Stationary solutions to the onedimensional CahnHilliard equation: Proof by the complete elliptic integrals,, Discrete and Continuous Dynamical Systems, 19 (2007), 609. Google Scholar 
[6] 
Y.Lou, WM.Ni and S.Yotsutani, On a limiting system in the LotkaVoltera competition with cross diffusion,, Discrete Contin. Dyn. Syst., 10 (2004), 435. Google Scholar 
[7] 
Y.Mori, A.Jilkine and L.EdelsteinKeshet, Asymptotic and bifurcation analysis of wavepinning in a reactiondiffusion model for cell polarization, SIAM JE ApplE Math., 71 (2011), 1401. Google Scholar 
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