in an earlier work we showed that for ordered fields f not isomorphic to the reals r, there are continuous 1-1 unctions on [0, 1]f which map some interior point to a boundary point of the image (and so are not open). here we show that over closed bounded intervals in the rationals q as well as in all non-archimedean ordered fields of countable cofinality, there are uniformly continuous 1-1 func...

where, in addition to satisfying conditions which insure existence and uniqueness of solutions, g(x) and p(t) satisfy the following conditions: (i) there exist positive constants r and k such that for all t, p(t) = p(t+r) and \p(t)\ k. We show that for r sufficiently small, Equation (1) has a solution x(t)...

[1] Utilizing a climate model of intermediate complexity, we test the hypothesis that the Pliocene closure of the Central American Seaway was a necessary precondition for orbitally triggered Northern Hemisphere glaciation. We conduct a series of sensitivity experiments in order to analyze the isolated and combined effects of Panama closure and orbital forcing on Northern Hemisphere perennial sn...

In this paper we introduce the cone bounded linear mapping and demonstrate a proof to show that the cone norm is continuous. Among other things, we prove the open mapping theorem and the closed graph theorem in TVS-cone normed spaces. We also show that under some restrictions on the cone, two cone norms are equivalent if and only if the topologies induced by them are the same. In the sequel, we...

Neural oscillators, which are a mathematical model of central pattern generator, have been used to investigate human gait and control mobile robots. A typical neural oscillator uses two neurons that mutually inhibit each other’s activity. The exact orbitally-stable conditions the activity oscillators without external signals reported. However, behavior with is unclear because their depends on s...

A continuous function f(x+ iy) = u(x, y) + iv(x, y) defined in a domain D ⊂ C (Complex plane) is harmonic in D if u and v are real harmonic in D. Clunie and Shiel-Small [3] showed that in a simply connected domain such functions can be written in the form f = h+g, where both h and g are analytic. We call h the analytic part and g, the co-analytic part of f . Let w(z) = g ′(z) h′(z) be the dilat...

Abstract In this article, we prove some novel fixed-point results for a pair of multivalued dominated mappings obeying new generalized Nashine–Wardowski–Feng–Liu-type contraction orbitally lower semi-continuous functions in complete orbital b -metric space. Furthermore, theorems are established the scenario ordered spaces. Some examples offered to demonstrate validity our results’ premise. To a...

We use femtosecond x-ray diffraction to probe directly the structural dynamics of a charge ordered and orbitally ordered thin film of La0.42Ca0.58MnO3 initiated by an ultrafast optical pulse. At low excitation fluences we observe the displacive excitation of a coherent optical A(g) phonon. Under high excitation conditions we observe a complete phase transition within 1 ps via the disappearance ...

ABSTRACT. Let G be a compact connected metric abelian group equipped with its normalised Haar measure. Let Tx = a+A(x) be a continuous surjective affine map of G such that γ ≡ 1 is the only character of G satisfying γ ◦A = γ for some positive integer n. Then if φ is a polynomial with real coefficients mapping the natural numbers to themselves, (pl) ∞ l=1 is the sequence of rational primes and f...

We present results of GGA+U calculations for the “d magnet” RbO2, where magnetic properties are due to partially filled oxygen p orbitals. We show that on-site interactions on the oxygen sites lead to a strong tendency towards the formation of an orbitally polarized insulating state, in contrast to the half-metallic behavior predicted for this class of compounds within pure LDA/GGA. The obtaine...