In this paper, the wavelet inverse formula of Radon transform is obtained with onedimensional wavelet. The convolution back-projection method of Radon transform is derived from this inverse formula. An asymptotic relation between wavelet inverse

Applying Hopf bifurcation theory and qualitative theory, we give the conditions of the existence and uniqueness of one limit cycle and the existence of two limit cycles for the general cubic Lienard equation. Numerical simulation results with one

Learning of the feedforward multilayer perceptron (MLP) networks is to adapt all synaptic weights in such a way that the discrepancy between the actual output signals and the desired signals, averaged over all learning examples (training patterns

In this paper, a new algorithm for inequality constrained optimization problems is presented. The algorithm is feasible and is globally and superlinearly convergent under some weaker assumptions - without strict complementary condition.

In this paper, we generalize Gronwall lemma to the case with time lags and use them to study delay controlled systems. For delay controlled systems associated with C_o-semigroup and analytic semigroup, we obtain the existences of mild solutions a

The homogenization of the nonlinear degenerate parabolic equations, diva(x/ε,t/ε,u,u)=f(x,t) is studied, where a(y,t,μ,λ) is periodic in (y,t) and b may be a nonlinear function whose prototype is |μ|~r sign u with r>0.

Main ResultLet P be the distribution of a one-dimensional Brownian motion (Bt,) with drift8 starting

In this paper, it is proved that any connected Cayley graph on an abelian group of order pq or p~2 has a hamiltonian decomposition, where p and q are odd primes. This result answers partially a conjecture of Alspach concerning hamiltonian decompo

In this paper, we study a nonlinear second-order periodic boundary value problem, in which the equation has a singular and discontinuous nonlinearity. By using perturbation techniques and comparison principles, we obtain the existence of solution

The characteristics of cookie-cutter sets in R~d are investigated. A Bowen's formula for the Hausdorff dimension of a cookie-cutter set in terms of the pressure function is derived. The existence of self-similar measures, conformal measures and G

In this paper, we give a characterization of super efficiency, and obtain a scalarization result for super efficiency in locally convex locally bounded topological vector spaces. The proof given here is substantially different from that given by

In this article the author considers the Cauchy problem for a model equations of fluid flow in a pipe, and under certain hypotheses on the initial data, the global smooth resolvability and the blow-up phenomena are obtained.

In this paper we first present a combinatorial characterization of an inverse monoid of a graph. Then using this we prove that a bipartite graph with an inverse monoid is uniquely K_2, and that a graph G has an inverse monoid if and only if the j

In this paper, we discuss how to construct a class of generalized cyclic codes, denoted by GCC. It is well known that a cyclic code is generated by a factor of x~n - 1. Clearly, any monic polynomial g(x) with degree less than n could be considere

In this article,based on the equivalence between E(s~2) optimal supersaturated designs and BIB designs,a general method of constructing E(s~2) optimal supersaturated designs by using cyclic designs is proposed.Within this class of designs,by further discriminating the pairwise correlations,efficient designs of runs from 6 to 24 are constructed and tabulated.Comparisons with other existing designs are made at last,proving the efficiency of our method.

This paper refers to computing Clarke generalized gradient for a smooth composition of max-type functions.A new approach to computing an element of Clarke generalized gradient for this class of functions at a point,is proposed.In contrast to previous publications,the present approach does not employ the procedure of determining consistencies of system of strictly linear inequalities.Hence,it is easy to be implemented.

With the aid of transformation of an unknown function,a class of nonlinear nonintegrable wave equation are reduced to the trilinear homogeneous equation which can be easily solved,therefore the exact kink shape solitary wave solutions,singular travelling wave solutions,and the periodic triangle function wave solutions are obtained.As special cases,Burgers equation,Burgers-Huxley equation,Chaffee- Infante reaction diffusion equation,Newell- Whitehead equation,FitzHugh-Nagumo equation,and an isothermal autocatalytic system equation can also be solved by this method.

In this paper,we will consider a new on-line scheduling model on two parallel machines where jobs arrive over time.The number of jobs is not known beforehand.Each job becomes available at its release date,which is not known in advance,and its processing time becomes known upon its arrival.The goal is to schedule all jobs such that the makespan is minimized.Chen and Vestjens gave an on-line LPT algorithm which a worst-case ratio of 3/2,and proved that no on-line algorithm with a worst-case ratio no more than (18-〖KF(〗5〖KF)〗)/11 and thus improve the previous result.

In this paper,we discuss the property of the weak convergence of probability measure convolution power sequence on locally compact H semigroups.We rebuild some kind of Kawada-Ito conclusion on locally compact H-semigroups.Because the probability measure convolution power sequence must be tight on compact semigroups.

The paper studied the initial value problem for a nonlinear wave equation with damping term u_(tt)-2bu_(xxt)+αu_(xxxx)=β(u~n_x)_x,x∈〖KX(〗R〖KX)〗,t>0,u(x,0)=φ(x),u_t(x,0)=ψ(x),x∈〖KX(〗R〖KX)〗,where b>0,α>0 and β≠0 are all real numbers,and n≥2 is an integer.The paper proved that when α≠b~2,φ∈L_1(〖KX(〗R〖KX)〗)∩H~2(〖KX(〗R〖KX)〗),ψ∈L_1(〖KX(〗R〖KX)〗)∩L_2(〖KX(〗R〖KX)〗),the above mentioned problem has a unique smooth solution.

In this paper,we employ the empirical likelihood method to propose a new class of estimators of conditional quantiles in the presence of some auxiliary information.It is shown that the proposed estimators are asymptotically normally distributed with asymptotic variances no more than those of the usual kernel estimators.

The relationship between integrated bisemigroups and bisemigroups of linear bounded operators is investigated.It is shown that an exponentially bounded integrated bisemigroups can be considered as the integration of a strongly continuous bisemigroup of bounded linear operators in some subspace of a Banach space with stronger norm topology,and also as the restriction of a strongly continuous bisemigroup of bounded linear operators in a bigger space with weaker norm topology.The above result can be used to interpret the meaning of weak solution for some abstract boundary value problems.

In this paper,we obtain Taussky's theorem to Cassini egg region.The result revise Brauser's theorem.As application,we gave sufficient and necessary conditions that the irreducible double-diagonally dominant matrices are nonsingular matrices,and generalize these results to partitioned matrices.

Let (X_t)_(t≥0) be a standard Brownian motion in R~d,and let B_r={x:x∈R~d,|x|

The long time behaviors of Navier-Stokes equations with linear dampness on the whole two-dimensional space were investigated.The existence of global attractor of the equations was proved under only condition f(x)∈(L~2(R~2))~2.Moreover,the upper bounds of Hausdorff and Fractal dimensions of the global attractor were given.

We used the fixed point index theorem in a cone to investigate the existence of multiple positive solutions for boundary value problem of a second-order singular functional differential equation of mixed type.The results in this paper generalize the results for the boundary value problem of ordinary differential equations given by [1,2].

In this paper,n-dimensional vectorfields preserving n-form (a high dimensional generalization of area,volume) are considered.By the mean of Lie group the reduction of this kind of vectorfields is studied systematically,and the following results are obtained.Firstly if a n-dimensional vectorifiels preserving n-form admits a one-parameter symmetry group that is spatial and preserving n-form,then it can be reduced into a (n-1)-dimensional vectorfield preserving the corresponding (n-1) form by constructing a concrete transformation independent of the vectorfield.Secondly,if the above n-dimensional vectorifield admits a r-parameter symmetry group that is spatial,Abelian and preserving n-form,then it can be reduced into a (n-r)-dimensional vectorifield preserving (n-r)-form.In particular,when n=4 and r=2,some important dynamical behavior in this kind of four-dimensional perturbed systems can be discussed in detail.Finally the applications of the method proposed in this paper are illustrated by two examples:the famous L-K model and ABC flow.

This paper deals with the existence of positive solutions for a class singular two point boundary value problems.It is shown that existence criteria can be established by using fixed point theory of completely continuous operators for the perturbed problems.The relations between the perturbed problems and the original problems have been given.The theorems obtained are very general.

Through combination of the parallelism across the system with the parallelism across the method,Parallel Compound Methods (PCM) are constructed for the numerical solution of a class of partitioned stiff systems.Nonstiff equations are integrated by a parallel explicit RK method while an parallel Rosenbrock method is used for the stiff part of the system.Their order conditions and their convergence are discussed,and the numerical tests are conducted on a personal computer and a parallel computer.

Suppose we have an i.i.d. two dimension sample from a population which has same former four moments as normal distribution.We estimate covariance with quadratic form estimators.Under square loss function,a necessary and sufficient condition that an estimator of covariance is admissible among quadratic estimators is given.

(English Series)Instructions to AuthorsThe English edition of ACTA MATHEMATICAE APPLICATAE SILICA is

In this paper we present a matroid approach to the tree decomposition problem, give alternative proofs of the main results in [1,2], which give the necessary and sufficient conditions for a graph C=(V,E) of order n to have a tree decomposition (T

In this paper, we consider constrained denumerable state non-stationary Markov decision processes (MDPs, for short) with expected total reward criterion. By the mechanics of intro- ducing Lagrange multiplier and using the methods of probability a

This paper is devoted to the time periodic solutions to the degenerate parabolic equations of the form under the Dirichlet boundary value condition, where m＞1, p≥0, Ω■RN is a bounded domain with smooth boundary бΩ and a,b are positive, smoo

The nearest neighbor (n.n.) and its related methods are widely used in density and hazard function estimations. Even though the asymptotic normality of the n.n. density estimate is well known (see [1]), similar results for the n.n. hazard estimat

In this paper, we consider a uniform machine scheduling problem with nonsimultaneous available times. We prove that LPT algorithm has a worst case bound in the interval (1.52,5/3). We tighten this bound when the machine speed ratio is small or m=

We consider here iterative methods for the generalized least squares problem defined as min(Ax-b)TW-1 (Ax-b) with W symmetric and positive definite. We develop preconditioned SOR methods specially devised also for the augmented systems of the pro

On testing for no effect of a predictor on response variable, some tests have been proposed in the literature. In this paper, one of them being a cusum test proposed by Buckley[1] is studied further. This test can be extended to treating the non-