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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:First-order methods for convex optimization and monotone inclusions under local Lipschitz conditions
局部利普希茨条件 凸优化 单调夹杂物 一阶方法
2023/5/6
PRECONDITIONING A CLASS OF FOURTH ORDER PROBLEMS BY OPERATOR SPLITTING
parabolic problems fourth order problems preconditioning
2015/12/11
We develop preconditioners for systems arising from finite element discretizations of
parabolic problems which are fourth order in space. We consider boundary conditions which yield
a natural ...
On the spectral analysis of second-order Markov chains
second order Markov chains trajectorial reversibility spectrum of non-reversible Markov kernels spectral gap improvement of speed of convergence discrete position-speed Markov chains homogeneous and Abelian second order Markov chains
2015/7/7
Second order Markov chains which are trajectorially reversible are considered. Contrary to the reversibility notion for usual Markov chains, no symmetry property can be deduced for the corresponding t...
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
]¡
^
...
High Order Moment Closure with Global Hyperbolicity of Vlasov-Maxwell Equations
Moment closure Vlasov-Maxwell equation Boltzmann equation Ex-tended magnetohydrodynamics
2014/9/26
In this paper, we derive the extended magnetohydrodynamic models based on the
moment closure of the Vlasov-Maxwell equation. We adopt the Grad type moment
expansion which was firstly proposed in [12...
Comments on: "Optical solitons in a parabolic law media with fourth order dispersion"[Appl. Math. Comput. 208(2009)209-302]
Optical solitons parabolic law media fourth order dispersion
2010/4/6
Biswas and Milovic[Appl. Math. Comput.208(2009)209-302] have found the optical one-soliton solutions of a fourth order dispersive cubic-quintic nonlinear Schr\"odinger equation. In this comment, we fi...
On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system
arbitrary parameters integrable cases
2010/4/1
In this paper, we consider a second order nonlinear ordinary differential equation of the form
$\ddot{x}+k_1\frac{\dot{x}^2}{x}+(k_2+k_3x)\dot{x}+k_4x^3+k_5x^2+k_6x=0$, where $k_i$'s, $i=1,2,...,6,$...
S. K. Ntouyas, Boundary Value Problems for First Order Impulsive Differential Inclusions
Boundary value problem impulsive periodic antiperiodic differential inclusions fixed point
2009/6/16
In this paper, we investigate the existence of solutions for a class of first order boundary
value problems for impulsive differential inclusions. By using suitable fixed point
theorems, we study ...
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。
TWO PERIODIC SOLUTIONS OF N-DIMENSIONAL FIRST-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS
Fixed point theorem Periodic solution Multiplicity Neutral functional differential system ndimensional system
2008/11/26
In this paper, we establish existence, multiplicity and nonexistence of periodic solutions for a class
of first-order n-dimensional neutral functional differential equations. Our results improve the ...
PERIODIC AND SUBHARMONIC SOLUTIONS FOR SECOND ORDER NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS
Periodic solutions Subharmonic solutions Functional difference equations Linking Theorem
2008/11/26
In this paper, by using the critical point theory, some sufficient conditions for the
existence and multiplicity of periodic and subharmonic solutions to a class of second
order functional differenc...
EXISTENCE OF RADIAL SOLUTIONS FOR A FOURTH ORDER PARABOLIC EQUATION
Fourth order parabolic equation Radial solution Existence
2008/11/26
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation.
The problem as a model arises in epitaxial growth of nanoscale thin films. Relying
on some necessary uniform ...
OSCILLATION OF A SECOND-ORDER DIFFERENCE EQUATION WITH A NONLINEAR DAMPED TERM IN ARCHIMEDEAN SPACE
Order relation second-order difference equation oscillation
2008/11/26
In Archimedean space (X;Á) we study oscillation of all solutions of the second-order
difference equation with a nonlinear damped term of the form
a(k)D2y(k)+b(k)Dy(k)+c(k)y(k)+ f (k;y(k);y(k&...
POSITIVE SOLUTIONS OF MULTI-POINT BVPS FOR SECOND ORDER p-LAPLACIAN DIFFERENCE EQUATIONS
One-dimension p-Laplacian difference equation multi-point boundary value problem positive solution
2008/11/26
POSITIVE SOLUTIONS OF MULTI-POINT BVPS FOR SECOND ORDER p-LAPLACIAN DIFFERENCE EQUATIONS。