数学物理学报(英文版)

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SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS HAVING WEAKLY DISCONTINUOUS REDUCED SOLUTIONS

赵为礼

数学物理学报(英文版). 1988 (3): 239-248.

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In this paper we obtain some results about the existence, uniqueness and asymptotic estimates ofsolutions for the singularly perturbed boundary value problem of the second order nonlinear ordinarydifferential equation with a small parameter ε>0.

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TRANSLATION OF DEDEKIND η FUNCTION

陆洪文

数学物理学报(英文版). 1988 (3): 249-262.

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In this paper, we have proved an explicit translational formula of Dedekind η function.

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ON PERTURBED ABSTRACT FUNCTIONAL INTEGRODIFFERENTIAL EQUATION

M. B. Dhakne, B. G. Pachpatte

数学物理学报(英文版). 1988 (3): 263-282.

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In the present paper the existence of a unique strong solution of a general nonlinear perturbed abstract functional integ odifferential equation is investigated. The technique used in the proof of our main r esult is based on Kato's approach recently extended by Kartsatos and Parrott to evolution equations involving functional perturbations.

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ON MONOTONE METHOD FOR NONLINEAR REACTION-DIFFUSION SYSTEM

姚建祥

数学物理学报(英文版). 1988 (3): 283-292.

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If we knew the existence of upper and lower solutions u, v of a coupled reaction-diffusion system with quasi-monotone nonlinear reaction functions, then we can prove the existence of a solution ω of the same system such that u ≤ ω ≤ v by a monotone method. If the reaction functions of a system are not quasi-monotone, then we have not got a monotone method and so we are not sure on the existence of a solution of the system. The purpose of this paper is to extend the monotone method to nonquasilinear reaction-diffusion system by giving a new construiction of upper and lower solutions and their sequences. Both the time-dependent system and its corresponding steady-state problem are discussed.

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OPTIMAL STOPPING FOR GENERAL STOCHASTIC PROCESSES INDEXED BY A LATTICE-ORDERED SET

宋瑞光

数学物理学报(英文版). 1988 (3): 293-306.

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PERIODIC SOLUTIONS OF NONCONVOLUTION NEUTRAL INTEGRODIFFERENTIAL EQUATIONS

吴建宏

数学物理学报(英文版). 1988 (3): 307-314.

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TWO-PARAMETER HOMOGENEOUS MARKOVIAN PROCESS

罗首军

数学物理学报(英文版). 1988 (3): 315-322.

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COMPLETE ACCUMULATION POINTS AND COMPACTNESS OF FUZZY SETS

蒋继光

数学物理学报(英文版). 1988 (3): 323-326.

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ALGORITHME DE PERTURBATION DIRECTRICE POUR LE PROBLÈME D'AJUSTEMENT DES DONNEES

杨曙光

数学物理学报(英文版). 1988 (3): 327-343.

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In this paper we propose an algorithm, called Directrive Perturbation (PD-Algorithm), which decrease the maximum value of the absolute errors of a fitting formula obtained by a Least-Squares Method. Applying the algorithm we can increase the accuracy of the uniform approximation of the fitting formula with the original data (x_i, f(x_i)) (i=1, 2, …, m). Further, after applying a finite number of times of the perturbation, we can obtain the formuala of Tchebycheff approximation.

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ON THE EXISTENCE AND NODAL CHARACTER OF SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS

曹道珉, 朱熹平

数学物理学报(英文版). 1988 (3): 345-359.

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