# Applied Mathematics-A Journal of Chinese Universities

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 61-66

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 89-98

_{1}-regular splittings of a singular Z-matrix is given, which improve the result of [3]. Third, convergence of weak nonnegative splittings and regular splittings is discussed, and we...

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 47-60

*F*

_{n}) of directional data (Wu & Deng, 1996), and then applies Hall’s results to study six bootstrap confidence intervals for circular mean direction μ. = μ

*(F).*Our results show that STUD-interval and

*ABC*-interval are both second-order correct. For von Mises...

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 1-14

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 39-46

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 25-32

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 109-116

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 77-88

*u*, are accumulated near the singularities as e is small enough. This verifies the pinning mechanism.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 117-125

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 15-24

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 99-108

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 33-38

*X*

_{i}i.i.d. and

*Y*

_{i}i.i.d. be two sequences of random variables with unknown distribution functions

*F*(

*x*) and

*G*(

*y*) respectively.

*X*

_{i}are censored by

*Y*

_{i}. In this paper we study the uniform consistency of the Kaplan-Meier estimator under the case τ

*F*= sup(

*t:F*(

*t*)< 1) > τ

_{G}= sup (

*t1G*(

*t*) < 1). The sufficient condition is discussed.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 1 > 67-76

*n*= 1,2.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 237-251

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 127-138

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 155-164

*t*) =

*f*(t, x

^{t}, x

^{t}), 0 ≤

*t*≤ T. Existence principle and theorem for solutions of the BVP are obtained.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 179-194

*Aϕ(x)*+

*Bψp(x) = b*with A,B $$A\varphi (x) + B\psi (x) = b{\text{ with }}A,B \in L(R^n ),\varphi ,\psi :R^n \to R^n $$ being diagonal mappings and

*b ε R*

^{n}, and the global convergence of it is proved.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 139-150

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 151-154

*β*

_{1}, β

_{2}and

*β*

_{3}of a nonlinear Schrödinger equation with higher order dispersion terms (HNLS) satisfy the condition: 6β

_{1}—β

_{2}— 2β

_{3}(1— 6β

_{1}

*k*= 0,

*k*a real constant, then the fundamental soliton solutions of the HNLS equation exist. The exact soliton solutions are given and the relation between this condition and the known results in the literature is also discussed.

Applied Mathematics-A Journal of Chinese Universities > 1997 > 12 > 2 > 165-178