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J. Widjaja
Analysis and Geometry Group, FMIPA, Institut Teknologi Bandung, Jl. Ganesa 10 Ban- dung 40132, Indonesia.
Mathematics

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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
Co-Authors M.J. Bottema