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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A 1.344-approximation algorithm for the vertex cover problem
顶点覆盖问题 1.344 近似算法
2023/12/11
We present an algorithm for the vertex cover problem by combining the LP relaxation and the random edge-reductions. The algorithm has the expected approximation ratio of 1.344.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Solving hidden number problem with lattice sieving
晶格筛分 隐数问题 格约简算法
2023/4/28
Lattice reduction algorithms have been proved to be one of the most powerful and versatile tools in public key cryptanalysis. In this talk, we primarily concentrate on lattice attacks against (EC)DSA ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stokes phenomenon and isomonodromy deformation equations: Explicit solution to the Riemann-Hilbert problem and integrability of the isomonodromy equation
斯托克斯现象 等单向变形方程 黎曼-希尔伯特问题 显式解 单场方程 可积性
2023/5/6
Stokes phenomenon states that the asymptotic behavior of functions can differ in different regions of the complex plane, and that these differences can be described in a quantitative way. These quanti...
Oblique Derivative Problem for Generalized Lavrent 0 ev-Bitsadze Equations
Existence and uniqueness of solutions oblique derivative problem
2014/9/26
In this article, we first give the representation of solutions for the oblique
derivative boundary value problem of generalized Lavrent
0
ev-Bitsadze equations including
the Lavrent
0
ev-Bitsadz...
The oblique derivative problem for nonlinear elliptic complex equations of second order in multiply connected unbounded domains
Oblique derivative problem nonlinear elliptic complex equations multiply connected unbounded domains
2014/9/26
In this article, we discuss that an oblique derivative boundary value problem for
nonlinear uniformly elliptic complex equation of second order
wz1z=F(z; w; w
z
;wz; w
zz
;wzz)+G(z; w; ; w
z
;...
Initial-oblique derivative boundary value problem for nonlinear parabolic equations of second order
Initial-oblique derivative problem, nonlinear parabolic complex equations multiply connected domains
2014/9/26
In this article, we discuss that an initial-oblique derivative boundary value
problem for nonlinear uniformly parabolic complex equation of second order
A0
u
z1z¡Re[Quzz+A1
u
z
]¡
^
...
On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian
Rayleigh functions Laplacian eigenvalue problems non-local boundary conditions
2010/12/9
In this article, we provide two different ways of producing recursive formulas for the Rayleigh functions of eigenvalues of the one-dimensional Laplacian with non-local boundary conditions, which comm...
Solution of the Cauchy problem for the Navier - Stokes and Euler equations
Solution Cauchy problem the Navier - Stokes Euler equations
2010/12/3
Some known results regarding the Euler and Navier-Stokes equations were obtained by different authors.Existence and smoothness of the Navier-Stokes solutions in two dimensions have been known for a lo...
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
Self-adjoint extensions spectral analysis generalized Kratzer problem
2010/12/13
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field V (x) = g1x−1 + g2x−2, x 2 R+ = [0,1) .Fo...
On a free boundary problem for an American put option under the CEV process
free boundary problem American put option CEV process
2010/12/7
We consider an American put option under the CEV process. This corre-sponds to a free boundary problem for a PDE. We show that this free boundary satis es a nonlinear integral equation, and analyze it...
Noether's problem for some 2-groups
Noether’s problem rationality problem the inverse Galois problem
2010/12/6
Let G be a finite group and k be a field. Let G act on the rational function field k(xg : g ∈ G) by k-automorphisms defined by g · xh = xgh for any g, h ∈ G. Noether’s problem asks whether the fixed f...
G. M. N'Guérékata, Corrigendum：A Cauchy Problem for some Fractional
Cauchy problem nonlocal conditions fractional differential equations Krasnoselkii theorem
2009/6/16
We report and correct an error that occurs in our recent paper ‘A Cauchy problem
for some fractional differential abstract equation with nonlocal condition published in
Nonlinear Analysis’.
A CAUCHY PROBLEM FOR ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Fractional differential equation infinite delay mild solution
2008/11/28
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional
differential equations with infinite delay. Several theorems of existence and
uniqueness of mild solution...
NONLOCAL CAUCHY PROBLEM FOR SOME FRACTIONAL ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Fractional abstract integrodifferential equation contraction mapping Krasnoleskii theorem nonlocal conditions
2008/11/28
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential
equations with nonlocal condition in a Banach space. The results
are established by the applicatio...
POSITIVE SOLUTIONS OF A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM
cone fixed point index Green function multi-point boundary value problem positive solution
2008/11/28
POSITIVE SOLUTIONS OF A FOURTH-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM。