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A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
second order expansion separatrix map for trigonometric perturbations priori unstable systems
2015/9/25
In this paper we study a so-called separatrix map introduced by Zaslavskii-Filonenko [ZF68] and studied by Treschev and Piftankin [Tre98, Tre02,Pif06, PT07]. We derive a second order expansion of this...
Applications of second-order cone programming
Second-order cone programming linear function affine sets linear nonlinear convex problem quadratic program
2015/8/11
In a second-order cone program (SOCP) a linear function is minimized over the intersection of an affine set and the product of second-order (quadratic) cones. SOCPs are nonlinear convex problems that ...
Green's functions for parabolic systems of second order in time-varying domains
Green's functions parabolic systems
2010/11/22
We construct Green's functions for divergence form, second order parabolic systems in non-smooth time-varying domains whose boundaries are locally represented as graph of functions that are Lipschitz ...
Positive solutions for Second-Order Boundary Value Problem with Integral Boundary Conditions at Resonance on a Half-Line
Boundary value problem Resonance Cone Positive solution Coincidence
2010/1/22
This paper deals with the second order boundary value problem with integral boundary conditions on a half-line: a.e. in A new result on the existence of positive solutions is obta...
On the Second-Order Contingent Set and Differential Inclusions
Continuous multifunctions compact multifunctions contingent cone second-order contingent set
2009/1/13
In this paper, we establish the existence of solutions of a nonconvex second order differential inclusion of the following type:
\stackrel{..}{x}(t)\in F(x(t), \stackrel{.}{x}(t)) \text{ a.e, } x(0)...
Positive Solutions for Second-Order $m$-Point Boundary Value Problems on Time Scales
time scales positive solution Schauder fixed point theorem
2007/12/11
Let $\Bbb{T}$ be a time scale such that $0,T\in \Bbb{T}$. By means of the Schauder fixed point theorem and analysis method, we establish some existence criteria for positive solutions of the $m$-point...