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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
In this talk, we first consider convex optimization whose smooth components have a locally Lipschitz continuous gradient and propose a first-order method for finding an epsilon-KKT solution. We then c...
Explicit integrable systems on two dimensional manifolds with a cubic first integral
Explicit integrable systems dimensional manifolds first integral
2010/4/2
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explicit form of these mod...
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 ...
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 ...
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE
Oscillation neutral differential equation unbounded delay positive and negative coefficients
2008/11/25
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE。