Advance Publication | 2021
 
The advance publication content published here for the Taiwanese Journal of Mathematics is in its final form; it has been reviewed, corrected, edited, typeset, and assigned a permanent digital object identifier (DOI). The article's pagination will be updated when the article is assigned to a volume and issue.

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Articles
Chu-Hee Cho, Hyerim Ko
Taiwanese J. Math. Advance Publication, 1-24, (2021) DOI: 10.11650/tjm/210904
KEYWORDS: pointwise convergence, fractional Schrödinger equation, 35Q41
Min Zhao, Zhaohai Ma, Rong Yuan
Taiwanese J. Math. Advance Publication, 1-30, (2021) DOI: 10.11650/tjm/211001
KEYWORDS: predator-prey system, spreading speed, nonlocal diffusion, general response function, 35K57, 35C07, 92D25
Xuanlong Ma, Lan Li
Taiwanese J. Math. Advance Publication, 1-15, (2021) DOI: 10.11650/tjm/210905
KEYWORDS: reduced power graph, metric dimension, Finite group, 05C25, 05C12
Xiaoyi Xie, Dongkui Ma
Taiwanese J. Math. Advance Publication, 1-24, (2021) DOI: 10.11650/tjm/210903
KEYWORDS: topological entropy, Proper map, free semigroup actions, skew-product transformations, irregular set, multifractal spectrum, 37A35, 37B40
Kuo-Shou Chiu
Taiwanese J. Math. Advance Publication, 1-40, (2021) DOI: 10.11650/tjm/210902
KEYWORDS: impulsive neural networks, Piecewise constant argument of generalized type, periodic solutions, global exponential stability, Gronwall integral inequality, 92B20, 34A37, 34K13, 34K20, 34K34, 26D10
Sui-Chung Ng, Sai-Kee Yeung
Taiwanese J. Math. Advance Publication, 1-19, (2021) DOI: 10.11650/tjm/210901
KEYWORDS: fake projective planes, pluricanonical mappings, Syzygies, 13D02, 14C20, 14J29
Bashir Ahmad, Ahmed Alsaedi, Mohamed Berbiche, Mokhtar Kirane
Taiwanese J. Math. Advance Publication, 1-33, (2021) DOI: 10.11650/tjm/210804
KEYWORDS: coupled fractional-wave equations, polynomial nonlinearities, global solution, Blow-up, 35J05, 26A33, 35L15
Xiaoting Gan, Xiaolin Chen, Dengguo Xu
Taiwanese J. Math. Advance Publication, 1-33, (2021) DOI: 10.11650/tjm/210803
KEYWORDS: two-asset Black–Scholes American option model, Heston's stochastic volatility American option model, FVM, MSOR method, 65M08, 91G60
Victor Zhenyu Guo, Jinyun Qi
Taiwanese J. Math. Advance Publication, 1-15, (2021) DOI: 10.11650/tjm/210802
KEYWORDS: Piatetski–Shapiro sequences, arithmetic progression, exponential sums, 11B83, 11N13, 11L07
Jing Zhang
Taiwanese J. Math. Advance Publication, 1-20, (2021) DOI: 10.11650/tjm/210801
KEYWORDS: active germ, analytic hypersurface, analytic structure sheaf, Cěch cohomology, Stein space, 32E10, 14A15, 14C20
Di Han, Zhefeng Xu, Yuan Yi, Tianping Zhang
Taiwanese J. Math. Advance Publication, 1-21, (2021) DOI: 10.11650/tjm/210705
KEYWORDS: D. H. Lehmer problem, Kloosterman sums, Asymptotic formula, 11L07, 11L05
Lei Liu, Xiaomin Zhou, Xiaoyao Zhou
Taiwanese J. Math. Advance Publication, 1-15, (2021) DOI: 10.11650/tjm/210704
KEYWORDS: entropy dimension, preimage entropy, $s$-preimage entropy, preimage entropy dimension, 54H20‎, 37B20
Nguyen Van Thin
Taiwanese J. Math. Advance Publication, 1-37, (2021) DOI: 10.11650/tjm/210603
KEYWORDS: Integrodifferential operators, variable-order fractional Laplacian, Mountain pass theorem, Fountain Theorem, genus theory, 35A15, 35J60, 35R11, 35S15
Ethan Y. H. Li, Grace M. X. Li, David G. L. Wang, Arthur L. B. Yang
Taiwanese J. Math. Advance Publication, 1-23, (2021) DOI: 10.11650/tjm/210703
KEYWORDS: twinning operation, chromatic symmetric functions, $e$-positivity, $s$-positivity, tadpole graphs, chromatic symmetric functions in non-commuting variables, 05E05, 05C15
Ram Krishna Pandey, Anshika Srivastava
Taiwanese J. Math. Advance Publication, 1-16, (2021) DOI: 10.11650/tjm/210702
KEYWORDS: upper density, $M$-sets, lonely runner conjecture, 11B05, 11B39
Kittikorn Nakprasit, Pongpat Sittitrai
Taiwanese J. Math. Advance Publication, 1-23, (2021) DOI: 10.11650/tjm/210701
KEYWORDS: list coloring, 4-choosable, Planar graphs, discharging method, 05C10, 05C15
Fangxia Lu
Taiwanese J. Math. Advance Publication, 1-43, (2021) DOI: 10.11650/tjm/210601
KEYWORDS: exponential stable behavior, impulsive partial stochastic differential equations, weighted pseudo almost periodic in distribution, Lévy noise, fixed point, 34A37, 60H10, 35B15, 34K50
Cao Huy Linh, Ton That Quoc Tan
Taiwanese J. Math. Advance Publication, 1-14, (2021) DOI: 10.11650/tjm/210602
KEYWORDS: Hilbert coefficients, the depth of associated graded rings, parameter ideals, Castelnuovo–Mumford regularity, postulation number, 13D45, 13D07, 14B15
Hsian-Yang Chen, Ching Hung Lam
Taiwanese J. Math. Advance Publication, 1-13, (2021) DOI: 10.11650/tjm/210502
KEYWORDS: lattice vertex operator algebra, automorphism group, 17B69
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