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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...
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 ...
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 ...
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...
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)...
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...

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