
Previous Article
Efficient recurrence relations for univariate and multivariate Taylor series coefficients
 PROC Home
 This Issue

Next Article
Existence and multiplicity of solutions in fourth order BVPs with unbounded nonlinearities
Representation formula for the plane closed elastic curves
1.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, 5202194, Japan, Japan 
2.  Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Otsu, Shiga 5202194 
References:
[1] 
J. V. Armitage and W. F. Eberlein, "Elliptic Fucntions ",, Cambridge University Press, (2006). Google Scholar 
[2] 
H.Ikeda, K.Kondo, H.Okamoto and S.Yotsutani, On the global branches of the solutions to a nonlocal boundaryvalue problem arising in Oseen's spiral flows,, Commun. Pure Appl. Anal. 2 (2003), 2 (2003), 381. Google Scholar 
[3] 
S.Kosugi, Y.Morita and S.Yotsutani, A complete bifurcation diagram of the GinzburgLandau equation with periodic boundary conditions,, Commun. Pure Appl. Anal. 4 (2005), 4 (2005), 665. Google Scholar 
[4] 
Y.Lou, WM.Ni and S.Yotsutani, On a limiting system in the LotkaVolterra competition with crossdiffusion. Partial differential equations and applications,, Discrete Contin. Dyn. Syst. 10 (2004), 10 (2004), 1. Google Scholar 
[5] 
V.I. Smirnov, "A Course of Higher Mathematics",, vol.3, (1964). Google Scholar 
[6] 
K.Watanabe, Plane domains which are spectrally determined,, Ann. Global Anal. Geom. 18(2000), 18 (2000), 447. Google Scholar 
[7] 
K.Watanabe, Plane domains which are spectrally determined. II,, J. Inequal. Appl. 7(2002), 7 (2002), 25. Google Scholar 
show all references
References:
[1] 
J. V. Armitage and W. F. Eberlein, "Elliptic Fucntions ",, Cambridge University Press, (2006). Google Scholar 
[2] 
H.Ikeda, K.Kondo, H.Okamoto and S.Yotsutani, On the global branches of the solutions to a nonlocal boundaryvalue problem arising in Oseen's spiral flows,, Commun. Pure Appl. Anal. 2 (2003), 2 (2003), 381. Google Scholar 
[3] 
S.Kosugi, Y.Morita and S.Yotsutani, A complete bifurcation diagram of the GinzburgLandau equation with periodic boundary conditions,, Commun. Pure Appl. Anal. 4 (2005), 4 (2005), 665. Google Scholar 
[4] 
Y.Lou, WM.Ni and S.Yotsutani, On a limiting system in the LotkaVolterra competition with crossdiffusion. Partial differential equations and applications,, Discrete Contin. Dyn. Syst. 10 (2004), 10 (2004), 1. Google Scholar 
[5] 
V.I. Smirnov, "A Course of Higher Mathematics",, vol.3, (1964). Google Scholar 
[6] 
K.Watanabe, Plane domains which are spectrally determined,, Ann. Global Anal. Geom. 18(2000), 18 (2000), 447. Google Scholar 
[7] 
K.Watanabe, Plane domains which are spectrally determined. II,, J. Inequal. Appl. 7(2002), 7 (2002), 25. Google Scholar 
[1] 
Shenglan Xie, Maoan Han, Peng Zhu. A posteriori error estimate of weak Galerkin fem for second order elliptic problem with mixed boundary condition. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020340 
[2] 
Yongxiu Shi, Haitao Wan. Refined asymptotic behavior and uniqueness of large solutions to a quasilinear elliptic equation in a borderline case. Electronic Research Archive, , () : . doi: 10.3934/era.2020119 
[3] 
Hua Chen, Yawei Wei. Multiple solutions for nonlinear cone degenerate elliptic equations. Communications on Pure & Applied Analysis, , () : . doi: 10.3934/cpaa.2020272 
[4] 
João Marcos do Ó, Bruno Ribeiro, Bernhard Ruf. Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 277296. doi: 10.3934/dcds.2020138 
[5] 
Lingfeng Li, Shousheng Luo, XueCheng Tai, Jiang Yang. A new variational approach based on levelset function for convex hull problem with outliers. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2020070 
[6] 
Yichen Zhang, Meiqiang Feng. A coupled $ p $Laplacian elliptic system: Existence, uniqueness and asymptotic behavior. Electronic Research Archive, 2020, 28 (4) : 14191438. doi: 10.3934/era.2020075 
[7] 
Zedong Yang, Guotao Wang, Ravi P. Agarwal, Haiyong Xu. Existence and nonexistence of entire positive radial solutions for a class of Schrödinger elliptic systems involving a nonlinear operator. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020436 
[8] 
Hoang The Tuan. On the asymptotic behavior of solutions to timefractional elliptic equations driven by a multiplicative white noise. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020318 
[9] 
Zhilei Liang, Jiangyu Shuai. Existence of strong solution for the Cauchy problem of fully compressible NavierStokes equations in two dimensions. Discrete & Continuous Dynamical Systems  B, 2020 doi: 10.3934/dcdsb.2020348 
[10] 
Stefano Bianchini, Paolo Bonicatto. Forward untangling and applications to the uniqueness problem for the continuity equation. Discrete & Continuous Dynamical Systems  A, 2020 doi: 10.3934/dcds.2020384 
[11] 
Gongbao Li, Tao Yang. Improved Sobolev inequalities involving weighted Morrey norms and the existence of nontrivial solutions to doubly critical elliptic systems involving fractional Laplacian and Hardy terms. Discrete & Continuous Dynamical Systems  S, 2020 doi: 10.3934/dcdss.2020469 
[12] 
Sihem Guerarra. Maximum and minimum ranks and inertias of the Hermitian parts of the least rank solution of the matrix equation AXB = C. Numerical Algebra, Control & Optimization, 2021, 11 (1) : 7586. doi: 10.3934/naco.2020016 
[13] 
Nguyen Thi Kim Son, Nguyen Phuong Dong, Le Hoang Son, Alireza Khastan, Hoang Viet Long. Complete controllability for a class of fractional evolution equations with uncertainty. Evolution Equations & Control Theory, 2020 doi: 10.3934/eect.2020104 
[14] 
Andrew D. Lewis. Erratum for "nonholonomic and constrained variational mechanics". Journal of Geometric Mechanics, 2020, 12 (4) : 671675. doi: 10.3934/jgm.2020033 
[15] 
Oussama Landoulsi. Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the $ L^2 $supercritical case. Discrete & Continuous Dynamical Systems  A, 2021, 41 (2) : 701746. doi: 10.3934/dcds.2020298 
[16] 
Alberto Bressan, Wen Shen. A posteriori error estimates for selfsimilar solutions to the Euler equations. Discrete & Continuous Dynamical Systems  A, 2021, 41 (1) : 113130. doi: 10.3934/dcds.2020168 
[17] 
HuuQuang Nguyen, YaChi Chu, RueyLin Sheu. On the convexity for the range set of two quadratic functions. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020169 
[18] 
Xinpeng Wang, Bingo WingKuen Ling, WeiChao Kuang, Zhijing Yang. Orthogonal intrinsic mode functions via optimization approach. Journal of Industrial & Management Optimization, 2021, 17 (1) : 5166. doi: 10.3934/jimo.2019098 
[19] 
Shipra Singh, Aviv Gibali, Xiaolong Qin. Cooperation in traffic network problems via evolutionary split variational inequalities. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020170 
[20] 
Yu Zhou, Xinfeng Dong, Yongzhuang Wei, Fengrong Zhang. A note on the Signaltonoise ratio of $ (n, m) $functions. Advances in Mathematics of Communications, 2020 doi: 10.3934/amc.2020117 
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]