in this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. the differential operator is taken in the riemann-liouville sense. applying the schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system d^{alpha}_{0+}x(t)=fleft(t,y(t),d^{p}_{0+}y(t)right), t in (0,...

This study was undertaken to quantify 3-dimensional (3-D) facial movement in normal subjects, and to identify the individual axes in which this movement occurred. Displacement data on 42 subjects were collected and analyzed with the Expert Vision Motion Analysis System. The 3-D displacement was calculated by vectorially subtracting maximum marker movement from previously identified reference ma...

We study families of diffeomorphisms detected by trivalent graphs via the Kontsevich classes. specify some recent results and constructions second named author to show that those non-trivial elements in homotopy groups ◂f()▸π∗⁡◂()▸(B⁢Diff∂⁢(Dd))⊗Q$\pi _*(B\mathrm{Diff}_{\partial }(D^d))\otimes {\mathbb {Q}}$ are lifted moduli space h$h$-cobordisms ◂f()▸π∗⁡◂()▸(B⁢Diff⊔⁢(Dd×I))⊗Q$\pi _*(B\mathrm{...

In this paper we try to dynamically constrain the quadrupole mass moment Q of the millisecond PSR B1257+12 pulsar from the orbital periods of its three planets, assumed to be in equatorial and circular orbits. Given the present-day accuracy in knowing their ephemerides, no post-Newtonian corrections to their motions are required. By conservatively assuming 1% and 10% uncertainties in the pulsar...

First order flow only available Lower limit on the distance-scaled transverse velocity. Constraint on the immediacy of the surface patch. Constraint on the immediacy of the plane. Constraint on the spin. First order flow and tilt available The direction of the transverse velocity. The immediacy of the surface path. The immediacy of the plane. The spin. First order flow and the immediacy of the ...

In this paper we attempt to dynamically constrain the quadrupole mass moment Q of the millisecond PSR B1257+12 pulsar from the orbital periods of its three planets, assumed to be in equatorial and circular orbits. Given the present-day accuracy in knowing their ephemerides, no post-Newtonian corrections to their motions are required. By conservatively assuming 1% and 10% uncertainties in the pu...

Let a, b, c, d be complex numbers with d 6= 0 and |q| < 1. Define H1(a, b, c, d, q) := 1 1 + −abq + c (a + b)q + d + · · · + −abq + cq (a + b)qn+1 + d + · · · . We show that H1(a, b, c, d, q) converges and 1 H1(a, b, c, d, q) − 1 = c − abq d + aq P∞ j=0 (b/d)(−c/bd)j q (q)j(−aq/d)j P∞ j=0 (b/d)(−c/bd)j q (q)j(−aq/d)j . We then use this result to deduce various corollaries, including the followi...

in this paper, we investigate the goursat problem in the class c21(d)cn0 (d  p) c00 (d q)for a third order pseudoparabolic equation. some results are given concerning the existence and uniquenessfor the solution of the suggested problem.

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