1) Asymptotic orbital stability provides one route of dissipation.

2) The time constant of this asymptotic rise is 0.8 day.

3) The uniformly valid asymptotic expansion in entire is obtained.

4) Quartely international journal on applied analysis, approximation theory, asymptotic analysis, difference equations and more.

5) It is shown that The asymptotic null distribution of the modified likelihood ratio test proposed is derived and found to be relatively simple and easily applied.

6) If the required asymptotic form is time-independent (such as the Minkowski space itself), then it respects the time-translational symmetry.

7) The method of asymptotic waveform evaluation (AWE) is a very efficient extrapolation method in numerical computation.

8) Sufficient conditions for the asymptotic convergence of the whole system are provided in terms of linear matrix inequalities(LMI).

9) We derived the asymptotic distribution of the proposed test statistic under the null hypothesis.

10) In this paper, the asymptotic distribution and the asymptotic probability of the selected model by using the information criteria AIC are obtained.

11) Through the asymptotic analysis of the crack-tip field, the exponents of singularity of stress and strain in interface static propagating crack-tip field were determined.

12) A Note on The Asymptotic Density - Potential Relation of The Spiral Galaxy With Finite Disk Thickness.

13) In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.

14) In this paper, we adopt the asymptotic analysis, get the time inner and outer solution of this model, and this time outer solution approximate the similarity solution.

15) The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.

16) The algorithm ensures asymptotic stability of time - varying delay uncertainties network systems with input saturation.

17) Finally, a sufficient asymptotic stability condition of the optimal sliding motion is derived and proved.

18) The weak consistence and the asymptotic normality of the robust M-estimate of the unknown function are given, and the weak consistence of the robust M-estimate of the unknown parameter is established.

19) Based on the asymptotic expression for M_A, the procedure forfinding the maximum heat generation rate is also suggested.

20) Model RB not only avoids the trivial asymptotic insolubility of previous random CSP models but also has the great advantage of being able to determine the phase transition points exactly.

21) In this paper, a deformation theory of plasticity for damaged materials is proposed. An asymptotic expression for H near a crack tip is obtained.

22) By apriori choice of the regularization parameter respectively, the optimum asymptotic convergence order of the regularized solution is obtained.

23) A design method of nonlinear reduced order state observer is presented for feedback linearizable nonlinear systems, and the asymptotic convergence is proved for the proposed state observer.

24) By using elementary method, a new arithmetic function is studied, and an interesting asymptotic formula is obtained.

25) It is shown that, under both the null and the local alternatives, the random weighting statistics have the same asymptotic distribution as the original test statistic under the null hypotheses.

26) The convergent property and convergent rate of parameter estimation error are analyzed . Some sufficient conditions are given to guarantee the asymptotic normality of parameter estimation error.

27) It's illustrated how Input State linearization method is used to eliminate bifurcation so that no matter how the parameters change the system could maintain asymptotic stable equilibrium state.

28) The maximum likelihood estimators(MLE) of means and standard deviations and the asymptotic distribution of likelihood ratio statistic are given.

29) Renormalization group method is an effective tool to obtain the uniformly valid asymptotic expansion exact solutions of this kind of problems.

30) The obtained characteristic ratio of mean-square radius of gyration and its temperature coefficients for the long Poly(dimethylsilylene)chains with side groups approach the asymptotic value of 2.

31) The right rectangle formula was generalized, the asymptotic behaviour of mediant for the right rectangle formula and the generalized right rectangle formula were given.

32) This paper deals with the problem of a robust asymptotic output tracking control of fully input-output linearizable nolinear systems via output feedback.

33) The development of nucleosynthesis theory in Asymptotic Giant Branch (AGB) stars is reviewed.

34) The key idea is to reduce the global stability problem to the asymptotic stability of an uncertain discrete-time system.

35) On the basis of the governing equations and the asymptotic expansion of the stress fields proposed by Gao and Hwang, a generally asymptotic analysis is performed.

36) The results are analyzed an compared with those calculated by using the asymptotic analysis.

37) This paper studies the asymptotic expression of solution of Cauchy's problem for a forth order equation when the limit equation has singularity.

38) The iterative method is simpler than the asymptotic expansion method of calculation.

39) Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of .

40) The maximum likelihood estimators(MLE) of means and standard deviations, and the asymptotic distribution of likelihood ratio statistic were given.

41) A parameter adaptive law and a control law were obtained to ensure asymptotic attenuation of the tracking error to zero with probability 1. The simulation results show the validity of the method.

42) Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.

43) In this paper, empirical euclidean likelihood ratio statistics are constructed for parametric in a nonlinear model. And prove strong consistency and asymptotic normality of the estimation.

44) It is demonstrated that the iterative scheme can have higher-order convergence and smaller asymptotic error constant by virtue of choosing the optimal factor appropriately.

45) The present paper presents an uniformly valid asymptotic expansion for a class of singular perturbation boundary value problems via the renormalization group method.

46) Based on the asymptotic homogenization method a global three - dimensional constitutive relation for viscoelastic FRC was formulated.

47) The dynamics of coupled systems of semilinear parabolic equations are investigated using the method of upper and lower solutions. The asymptotic behavior of the solutio is given.

48) By Lyapunov function and semimartingale convergence theorem, some results on its properties such as asymptotic stabilities, polynomial stabilities and exponential stabilities have been given.

49) In this paper , we discuss the asymptotic stability of a type of functional in tegrodifferential equations.

50) By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional model system of linearly viscoelastic "flexural" shell from three-dimensional equations.

51) Firstly, single point well-conditioned asymptotic waveform evaluation(WCAWE) technique is developed into multipoint well-conditioned asymptotic waveform evaluation(MWCAWE).

52) This paper intends to discuss and prove the asymptotic behaviour of mean point in second mean value theorem for integrals in concessional terms.

53) As a special example, it is proved that the asymptotic distribution of F distribution is normal distribution.

54) For this, we derive the weighted estimates for discreet Green function and the asymptotic error expansion inequalities, and then the proofs of the formulas are given.

55) In this paper, we consider asymptotic structure for the product of partial sums of independent random variables. Under some suitable conditions, we get a central limit theorem.

56) With the imputed values and the censored data, the confidence interval of the population mean is constructed in two different ways,[] one is asymptotic normal and the other is empirical likelihood.

57) The asymptotic state of mean value for the second mean value integral theorem is studied in this paper and the results are applied to approximate integration.

58) In this paper, we use the convex function to form the order statistic and the linear rank statistic, and the asymptotic normality of the statistics are proved.

59) Using the perturbative method the asymptotic solution of the corresponding model is obtained.

60) By using the asymptotic theory a class of nonlinear coupled system is considered.

61) The asymptotic stability of a family of vector difference equations with multi-delays is studied.

62) A new method is introduced to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit.

63) This paper gives some sufficient conditions for complete stability and global asymptotic stability of shunting inhibitory cellular neural networks, which improves previous results.

64) In this paper we find an uniformly random weighting method to statistics admitting asymptotic normality and study its consistency and convergence rates of uniformity and nonuniformity.

65) It can be proved that MRRC yields asymptotic stability through theoretical analysis and equational results. At last the effective result is proved by the simulation curves.

66) Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.

67) When parameters of the input of a large scale system deviate, its approximate reduced order model can be obtained by using the asymptotic expansion of the input function.

68) Further, the asymptotic result paves the way for adapting an automatic bandwidth selection scheme.

69) By means of the Taylor expansion technique, the asymptotic expressions of the dispersion curves at the long wavelength region were derived for flexural and longitudinal vibration modes.

70) By the method of scalar Lyapunov function, this paper studies the asymptotic stability and unstability decompositions of a class of linear and nonlinear time-varying discrete large-scale systems.

71) Under suitable conditions the asymptotic behavior of the generalized solution for the problems are studied.

72) It is found that, as the radius of the columnar body approaches infinity, the asymptotic critical wave speed does not equal the two-dimensional value for the same amplitude.

73) In this paper, we prove the strong consistency of the estimate, its efficiency asymptotic normality is discussed, too.

74) Another simple synthetic proof of finiteness of areas of asymptotic triangles in non - Euclidean geometry is given.

75) Most heuristics of BP can be extended to ASBP, and we evaluate the performance of two kinds of extended heuristics on the criterion of asymptotic worst case analysis.

76) This paper investigates the asymptotic normality of the estimation error of steady-state models of industrial processes in quite mild conditions.

77) They can handle the prediction, filtering and smoothing problems in a unified frame work, and have asymptotic stability.

78) It carefully investigates thought background of proposing zero measure set, thought process of proposing asymptotic measure and rarefaction of proposing zero measure set, and influences on M.

79) In this paper, using the method of moment estimation, we propose a moment estimation of parameters about AR(1)-MA(1) model, and prove the asymptotic normality of this estimation.

80) The finite element method is combined with homogenization theory based on asymptotic expansion for predicting effective properties of polymer matrix composites toughened and strengthened by particles.

81) Its robustness including false alarm probability, detection probability and average sample number is demonstrated and its asymptotic performance is discussed.

82) Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain.

83) Abstract: The sufficient conditions of the weak exponential asymptotic stability of impulsive differential system are obtained.

84) Given the asymptotic bias and the asymptotic variance of estimation, moreover obtained the asymptotic normality of the estimation under certain condition using small-block and large-block arguments.

85) The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest.

86) For example, the possible two-step catalytic reaction schemes of SO_2 oxidation on SLP vanadium catalyst and the asymptotic solutions of E_L at some special conditions have been evaluated in detail.

86) try its best to collect and make good sentences.

87) The authors discuss asymptotic effciency of MLE in asymptotic median unbiased sense under regular conditions.

88) Through curve fitting and synthetic asymptotic, this article has obtained the characteristic impedance formula of L-SIAD microstrip line.

89) A new method to analyze the global asymptotic stability of the equilibrium point of nonlinear circuit is introduced.

90) It is shown that for all the angular momentum states the fermion's radial wave functions have the physically reasonable asymptotic behavior at the origin.

91) Under suitable conditions we proved existence of solution and its uniformly valid asymptotic expansion of arbitrary order is given.

92) The oscillation and asymptotic behaviors of three order nonlinear functional differential equation with impulses are investigated, and some sufficient conditions are obtained.

93) Using binary coding GAs to solve UC the amount of calculation and employed ram will be greatly increased and the classical GAs does not possess the ability of asymptotic convergence.

94) Chapter 5 focuses on the asymptotic analysis to a parabolic model with inner absorptions and weighted localized sources.

95) We apply the boundary layer directly by two-variable expansion method and deduce 1st-order asymptotic expansion of the solution.

96) The present paper deals with the asymptotic properties of estimation and likelihood ratio test for-two exponential populations with partially missing data.

97) By applying formal asymptotic analysis, we obtain two-dimensional model system of linearly dynamic elastic "membrane" and "flexural" shells from three-dimensional equations.

98) The consistency and asymptotic normality properties of the proposed estimators are proved.

99) Under relatively simple conditions, the consistency and the asymptotic normality of the conditional ML estimator for stochastic regressors case are obtained.

100) The existence and stability of co-exist periodic solutions are investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.

101) This paper designs a nonlinear variable structure control system based on back stepping technique and fuzzy sliding mode control for asymptotic stabilization during the path tracking.

102) Assuming that the connect and infectious rate is a periodic function, we study the asymptotic behavior of the solution for this model. The threshold be obtained.

103) The asymptotic stability of linear neutral delay systems was studied with an eigenfunction approach based on a frequency domain.

104) Locally asymptotic stability is achieved with the designed smooth time-varying feedback control law, then the flight control problem of the ornithopter is solved.

105) The stress and strain singularity exponent of crack-tip field is given by means of the asymptotic analysis.

106) The existence and stability of periodic solution are studied by using the bifurcation theory, linear stability theory and the method of asymptotic expansion.

107) Under model plant mismatch the robustly asymptotic stability and global convergence of the resulting closed loop system are guaranteed by selecting proper prediction horizon.

108) Moreover, the analysis has indicated that the asymptotic heuristic branching factor is same as the brute-force branching factor.

109) By the asymptotic normality for very sparse random projection distribution, proves that the new matrix satisfies the necessary condition for CS measurement matrix .

110) Using the root of the characteristic equation, this paper studies the asymptotic solution of the characteristic equation of the open circular cylindrical thin shells.

111) Methods In this paper, the authors provided the asymptotic distribution about the statistic in the formulas by using the theories of distribution and the methods of approximative calculation.

112) The authors proved several asymptotic properties of a starlike function class defined in unit disk.

113) The uniformly valid asymptotic expansion of solution for the problem is obtained.

114) In order to investigate some ruin topics in some dependent renewal risk models, an asymptotic result on negative association renewal counting process was obtained.

115) Gaussian beam (GB) method is a high-frequency asymptotic method of computing wave-fields in inhomogenous media.

116) Fan J and Gijbels I gave the asymptotic normality of local polynomial regression estimation in dependent time series, where the weighted function is bounded.

117) The asymptotic representation of the fundamental solutions for the biharmonic operators is given.

118) In Chapter 4, we discuss and prove the consistency and asymptotic normality of maximum likelihood estimate to the exponential models.

119) Further, the asymptotic normality of these integration estimations is studied, and the simulation result shows that this estimation method is effective.

120) The basic method of deriving higher order theories of plates and shells was illustrated by asymptotic analysis for three dimensional thin elastic body.

121)

122)

123)

124)

125)

126)

127)

128)

129)

130)

131)

132)

133)

134)

135)

136)

137)

138)

139)

140)

141)

142)

143)

144)

145)

146)

147)

148)

149)

150)

151)

152)

153)

154)

155)

156)

157)

158)

159)

160)

161)

162)

163)

164)

165)

166)

167)

168)

169)

170)

171)

172)

173)

174)

175)

176)

177)

178)

179)

180)