SOLUSI NON NEGATIF PARSIAL SISTEM PERSAMAAN DIFERENSIAL LINIER ORDE SATU

Muhafzan Muhafzan

Abstract


Dalam artikel ini dikaji kenonnegatifan parsial solusi sistem persamaan diferensial linier orde satu. Kajian dilakukan dengan memanfaatkan hasil-hasil tentang matriks non negatif parsial yang diajukan oleh Noutsos dkk. (2008). Selanjutnya dikonstruksi suatu syarat cukup yang menjamin kenonnegatifan parsial solusi sistem persamaan diferensial linier orde satu tersebut. Selain itu disajikan beberapa contoh yang mengilustrasikan hasil utama.


Keywords


Non negatif parsial, non negatif parsial eksponensial.

Full Text:

PDF

References


Kaczorek, T., (2001), Externally and Internally Positive Time Vrying Linear Systems, Int. Journal of Appl. Math. Comput. Science, Vol. 11, No. 4: 957-964.

Kaykobad, M., (1985), Positive Solutions of Positive Linear Systems, Linear Algebra and Its Applications, Vol. 64: 133-140.

Makino, T., (1984), On the Existence of Positive Solutions at Infinity for Ordinary Differential Equation of Emden Type, Funkcialaj Ekvacioj, Vol.27: 319-329.

Meyer, C. D., (2001), Matrix Analysis and Applied Linear Algebra, SIAM, USA

Noutsos D. Dan Tsatsomeros, M. J., (2008), Reachability and Holdability of Nonnegative States, SIAM Journal on Matrix Analysis and Applications, Vol. 30,No. 2: 700-712.

Wang, H. & Erbe, L. H., (1994), On the Existence of Positive Solutions of Ordinary Differential Equations, Proceedings of the Mathematical Society, Vol 120, 3: 743-748




DOI: http://dx.doi.org/10.24014/sitekin.v11i1.556

Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Jurnal Sains dan Teknologi Industri

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


Editorial Address:
FAKULTAS SAINS DAN TEKNOLOGI
UIN SULTAN SYARIF KASIM RIAU

Kampus Raja Ali Haji
Gedung Fakultas Sains & Teknologi UIN Suska Riau
Jl.H.R.Soebrantas No.155 KM 18 Simpang Baru Panam, Pekanbaru 28293
Email: sitekin@uin-suska.ac.id
© 2023 SITEKIN, ISSN 2407-0939

SITEKIN Journal Indexing:

Google Scholar | Garuda | Moraref | IndexCopernicus | SINTA


Creative Commons License
SITEKIN by http://ejournal.uin-suska.ac.id/index.php