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News
News1
2020-07-24
Current Issue
30 March 2025, Volume 40 Issue 1
Previous Issue
High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth
ZHANG Xiao-cang, XU Li-ping
2025, 40(1): 1-19.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.001
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In this paper, we study high energy normalized solutions for the following
Schrödinger
equation ……
A Note on a Result Due to Sauer and Schweizer
WANG Guang-sheng, LI Fei, XU Yan
2025, 40(1): 20-25.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.002
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n this paper, we obtain some normality criteria for families of meromorphic
functions concering shared values, which extends the related results of Schwick, and SauerSchweizer, and can be viewed as a complement of the related results due to Pang-Zalcman,
Xu-Fang.
The w-(b,c)-Core Inverse
FANG Li, ZHAO Liang
2025, 40(1): 26-35.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.003
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We introduce and study a new kind of generalized inverses named w-(b,c)-core
inverses, which is a generalization of the (b,c)-core inverse. An example is given to show
that w-(b,c)-core inverses need not be (b,c)-core inverses. In addition, the dual version of
the w-(b,c)-core inverse is studied. Some results on (b,c)-core inverses and e-(b,c)-core
inverses are unified and generalized.
The Varieties of Semi-Conformal Vectors of Rank-One Even Lattice Vertex Operator Algebras
CHU Yan-jun, GAO Yi-bo
2025, 40(1): 36-48.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.004
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In this paper, we shall study structures of even lattice vertex operator algebras
by using the geometry of the varieties of their semi-conformal vectors. We first give
the varieties of semi-conformal vectors of a family of vertex operator algebras……
On Wiener Index of Power of Paths and Cycles
LIU Sai-hua, LI Xiao-rong
2025, 40(1): 49-58.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.005
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The Wiener index of a graph is defined to be the sum of the distances of all
pairs of vertices in the graph. The kth power G
k
of a graph G is the graph on V (G) and
two vertices are adjacent if and only if their distance in G is less or equal to k. In this
paper, we computed the Wiener index of the kth power of paths and cycles for any k ≥2.
Power Options Pricing under Markov Regime-Switching Two-Factor Stochastic Volatility Jump-Diffusion Model
韩书书, 韦煜明
2025, 40(1): 59-73.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.006
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In this paper, we incorporate Markov regime-switching into a two-factor
stochastic volatility jump-diffusion model to enhance the pricing of power options. Furthermore, we assume that the interest rates and the jump intensities of the assets are
stochastic. Under the proposed framework, first, we derive the analytical pricing formula
for power options by using Fourier transform technique, Esscher transform and characteristic function. Then we provide the efficient approximation to calculate the analytical
pricing formula of power options by using the FFT approach and examine the accuracy
of the approximation by Monte Carlo simulation. Finally, we provide some sensitivity
analysis of the model parameters to power options. Numerical examples show this model
is suitable for empirical work in practice.
Blow-Up Solutions in a Parabolic Equation with Variable Coefficients and Memory Boundary Flux
ZHANF An-lei, LIU Bing-chen
2025, 40(1): 74-81.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.007
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This paper deals with a semilinear parabolic problem involving variable
coefficients and nonlinear memory boundary conditions. We give the blow-up criteria for
all nonnegative nontrivial solutions, which rely on the behavior of the coefficients when
time variable tends to positive infinity. Moreover, the global existence of solutions are
discussed for non-positive exponents.
Novel Results on the Multi-Parameters Mittag-Leffler Function
PAN Yu-mei, LI Yu-fen, CAI Dong-xin, YAN Xing-jie
2025, 40(1): 82-92.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.008
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In this article, the multi-parameters Mittag-Leffler function is studied in
detail. As a consequence, a series of novel results such as the integral representation, series
representation and Mellin transform to the above function, are obtained. Especially, we
associate the multi-parameters Mittag-Leffler function with two special functions which
are the generalized Wright hypergeometric and the Fox’s-H functions. Meanwhile, some
interesting integral operators and derivative operators of this function, are also discussed
On α-Bloch Functions in Several Complex Variables
ZHU Ting, YANG Liu
2025, 40(1): 93-102.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.009
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In this paper, we establish characterizations of α-Bloch functions and little
α-Bloch functions on the unit ball as well as the unit polydisk of C
m
, which generalize and
improve results of Aulaskari-Lappan, Minda, Aulaskari-Wulan, and Wu. Some examples
are also given to complement our theory.
A Novel Property of Generalized Fibonacci Sequence in Grids
YANG Zi-xian, BAI Jian-chao
2025, 40(1): 103-110.
doi:
10.13371/j.cnki.chin.q.j.m.2025.01.010
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Fibonacci sequence, generated by summing the preceding two terms, is a
classical sequence renowned for its elegant properties. In this paper, leveraging properties
of generalized Fibonacci sequences and formulas for consecutive sums of equidistant
sub-sequences, we investigate the ratio of the sum of numbers along main-diagonal and
sub-diagonal of odd-order grids containing generalized Fibonacci sequences. We show that
this ratio is solely dependent on the order of the grid, providing a concise and splendid
identity.
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