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INDONESIA
Journal of the Indonesian Mathematical Society
Published by Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Mathematics
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 24 Documents
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Search results for , issue "Volume 13 Number 1 (April 2007)" : 24 Documents clear
ON ASYMTOTIC APPROXIMATIONS OF FIRST INTEGRALS FOR DIFFERENTIAL AND DIFFERENCE EQUATIONS Horssen, W.T. van
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.70.1-15

Abstract

In this paper the concept of integrating factors for differential equations and the concept of invariance factors for difference equations to obtain first integrals or invariants will be presented. It will be shown that all integrating factors have to satisfya system of partial differential equations, and that all invariance factors have to satisfy a functional equation. In the period 1997-2001 a perturbation method based on integrating vectors was developed to approximate first integrals for systems of ordinary differential equations. This perturbation method will be reviewed shortly. Also in the paper the first results in the development of a perturbation method for difference equations based on invariance factors will be presented. DOI: http://dx.doi.org/10.22342/jims.13.1.70.1-16
STABILITY OF INTEGRO DIFFERENTIAL EQUATIONS WITH IMPULSES ., Sariyasa
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.71.17-26

Abstract

Sufficient conditions have been derived for the asymptotic stability of the trivial solutions of a class of linear integrodifferential equations under impulsive per-turbations. The sufficient conditions are formulated in terms of the parameters of the equations such that in the absence of the impulsive effects, these conditions are reduced to those of the non-impulsive equations. doi: http://dx.doi.org/10.22342/jims.13.1.71.17-26
ON CERTAIN CLASSES OF P-VALENT FUNCTIONS DEFINED BY MULTIPLIER TRANSFORMATION AND DIFFERENTIAL OPERATOR Tehranchi, A.; Kulkarni, S. R.; Murugusundaramoorthy, G.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.72.27-38

Abstract

" PDF File" DOI : http://dx.doi.org/10.22342/jims.13.1.72.27-38
DIFFERENTIAL SANDWICH THEOREMS FOR SOME SUBCLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH LINEAR OPERATORS Shanmuguam, T.N.; Jeyaraman, M.P.; Singaravelu, A.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.73.39-50

Abstract

" PDF file" DOI : http://dx.doi.org/10.22342/jims.13.1.73.39-50
THE RIESZ-DUNFORD AND WEYL FUNCTIONAL CALCULI Jefferies, B.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.74.51-59

Abstract

" PDF file" DOI : http://dx.doi.org/10.22342/jims.13.1.74.51-59
DIFFUSIVE LOGISTIC EQUATIONS WITH TIME DELAY AND IMPULSES: EXISTENCE OF SOLUTION AND ATTRACTORS Widjaja, J.; Bottema, M.J.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.75.61-72

Abstract

A diffusive logistic equation with impulses and single time delay, with zero Robin boundary condition and Holder continuous initial function is studied. The impulses which are continuous functions, occur at fixed times. The magnitude of delay is equal to or less than the difference of any two successive impulse times. The method of upperand lower solution is used for finding the solution. The sufficient conditions for the zero solution to be an attractor of this system is presented. In the case of Neumann boundary condition, existence of positive attractor is proved under certain conditions. DOI : http://dx.doi.org/10.22342/jims.13.1.75.61-72
THE DYNAMICS OF SLOW MANIFOLDS Verhulst, Ferdinand; Bakri, Taoufik
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.76.73-90

Abstract

After reviewing a number of results from geometric singular perturbation theory, we discuss several approaches to obtain periodic solutions in a slow manifold.Regarding nonhyperbolic transitions we consider relaxation oscillations and canard-like solutions. The results are illustrated by prey-predator systems.DOI : http://dx.doi.org/10.22342/jims.13.1.76.73-90
COMPLETE CONVERGENCES AND STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS PAIRWISE NQD RANDOM VARIABLES SEQUENCE Cai, Guang- hui
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.89.91-98

Abstract

"PDF FILE"DOI : http://dx.doi.org/10.22342/jims.13.1.89.91-98
DEVELOPMENTS OF POLYHEDRA USING OBLIQUE COORDINATES Akiyama, J.; Nara, C.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.77.99-114

Abstract

This paper is an exposition of the results in the paper entitled "Convex Development of a Regular Tetrahedron" by J. Akiyama, et. al. [1]. We fill in the detail which have been omitted in the paper. We determine all convex developments of a regular tetrahedron V using a tiling generated by V and we arrive at conditions for convex polygons to be convex develpments of V . Moreover, we identify all convex polyhedra whose convex developments can be determined by the method used for V .
SOME COMMENTS ON THE THEOREM PROVIDING STATIONARITY CONDITION FOR GSTAR MODELS IN THE PAPER BY BOROVKOVA et al. ., Suhartono; ., Subanar
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.90.115-122

Abstract

Generalized Space-Time Autoregressive (GSTAR) model is one of the models that usually used for modeling and forecasting space and time series data. The aim of this paper is to study further about the stationarity conditions for parameters in the GSTAR model and the relation to Vector Autoregressive (VAR) model. We focus on the theoretical study about stationarity condition in GSTAR(11) and the relation tothe stationarity condition of parameters in VAR(1). Then, we do an empirical study to give counter examples for the theorem of stationarity condition proposed by Borovkovaet al. The results show that the theorem of stationarity condition of parameters in GSTAR(11) model given by Borovkova et al. is incorrect. Additionally, the empirical results also show that GSTAR(11) model could always be represented in VAR(1) model by applying matrix operation to the space and time parameters. Hence, we can also conclude that VAR model, particularly VAR(1), is an extension of GSTAR(11) model with any possibility values of space and time parameters.DOI : http://dx.doi.org/10.22342/jims.13.1.90.115-122

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