We derive oscillation criteria for general-type neutral differential equations [x(t) +αx(t− τ) +βx(t+ τ)] = δ bax(t − s)dsq1(t,s) + δ ∫ d c x(t + s)dsq2(t,s) = 0, t ≥ t0, where t0 ≥ 0, δ = ±1, τ > 0, b > a ≥ 0, d > c ≥ 0, α and β are real numbers, the functions q1(t,s) : [t0,∞)× [a,b]→R and q2(t,s) : [t0,∞)× [c,d]→R are nondecreasing in s for each fixed t, and τ is periodic and continuous with ...

with given a, b, t0, t1 and n ≥ 0. This sequence was introduced by Horadam [3] in 1965, and it generalizes many sequences (see [1, 4]). Examples of such sequences are Fibonacci polynomials sequence (Fn(x))n≥0, Lucas polynomials sequence (Ln(x))n≥0, and Pell polynomials sequence (Pn(x))n≥0, when one has a = x, b = t1 = 1, t0 = 0; a = t1 = x, b = 1, t0 = 2; and a = 2x, b = t1 = 1, t0 = 0; respect...

The Treatment Paradigm (Figure 1) Methimazole (MMI) was started 3 to 6 months before 131I therapy to restore euthyroidism and was discontinued 5 days (T-5) before 131I was initiated. On the same day, lithium, 900 mg/day was started. Seven days after 131I was administered (day T0), lithium was withdrawn, comprising 12 days of lithium, and oral prednisone was started at 0.5 mg/kg daily to avoid 1...

INTRODUCTION We analyzed the changes in serum catecholamine concentrations, i.e. adrenaline and noradrenaline, in response to surgical stress in patients with pheochromocytoma who undergone videolaparoscopic adrenalectomy. MATERIALS AND METHODS Between January 1998 and March 2002, 11 patients underwent 12 videolaparoscopic adrenalectomies. In one case, the adrenalectomy was bilateral. Serum c...

The aim of this study is to examine if there are substantial variations in irregular return and trading volume behavior prior after President Joko Widodo's March 2, 2020 national declaration the first Coronavirus Disease-19 case Indonesia. This analysis was conducted using secondary evidence. community comprised all companies listed on Indonesian Stock Exchange 2020, with a purposive sample siz...

Necessary and sufficient conditions for a set-valued map K : R ։ R to be GDQ-differentiable are given. It is shown that K is GDQ differentiable at t0 if and only if it has a local multiselection that is Cellina continuously approximable and Lipschitz at t0. It is also shown that any minimal GDQ of K at (t0, y0) is a subset of the contingent derivative of K at (t0, y0), evaluated at 1. Then this...

This section presents a setup that arises frequently in adverse selection settings and provides conditions on the primitives such that the properties that de…ne a game with monotone selection are satis…ed. The following de…nitions and results (in addition to those in the print appendix) are used: A correspondence : T ! X is increasing in the strong set order if when t > t0, then for each x 2 (t...

Necessary and sufficient conditions for a set-valued map K : R ։ R to be GDQ-differentiable are given. It is shown that K is GDQ differentiable at t0 if and only if it has a local multiselection that is Cellina continuously approximable and Lipschitz at t0. It is also shown that any minimal GDQ of K at (t0, y0) is a subset of the contingent derivative of K at (t0, y0), evaluated at 1. Then this...

Using a more accurate effective Hamiltonian governig the time evolution in the particle–antiparticle subspace of states than the one obtained within the Lee–Oehme–Yang approach we show that in the case of particles created at the instant t = t0 only the masses of a stable particle and its antiparticle are the same at all t ≥ t0 in a CPT invariant system, whereas the masses of an unstable partic...