SOLUSI NON NEGATIF MASALAH NILAI AWAL DENGAN FUNGSI GAYA MEMUAT TURUNAN

Authors

  • Muhafzan Muhafzan Fakultas Sains dan Teknologi Universitas Islam Negeri (UIN) Sultan Syarif Kasim Riau

DOI:

https://doi.org/10.24014/sitekin.v10i2.535

Keywords:

Masalah nilai awal, solusi nonnegatif

Abstract

Dalam artikel ini akan dikaji kenonnegatifan solusi masalah nilai awal dengan fungsi gaya memuat turunan. Kajian dimulai dengan mereduksi masalah menjadi sistem persamaan diferensial linier orde 1. Selanjutnya dikonstruksi suatu syarat cukup yang menjamin kenonnegatifan solusi masalah nilai awal dengan fungsi gaya memuat turunan. Beberapa contoh diberikan untuk mengilustrasikan hasil utama.

     

Author Biography

Muhafzan Muhafzan, Fakultas Sains dan Teknologi Universitas Islam Negeri (UIN) Sultan Syarif Kasim Riau

Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam,
Universitas Andalas, Kampus Unand Limau Manis, Padang

Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam,

Universitas Andalas, Kampus Unand Limau Manis, Padang     

References

Berman, A. & Plemmons, B, (1994), Nonnegative Matrices in the Mathematical Sciences, SIAM, Philadelphia

El Shahed, M., (2008), Positive Solutions of Boundary Value Problems for nth Order Ordinary Differential Equations, Electronic Journal of Qualitative Differential Equations, No. 1: 1-9.

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.

Muhafzan & Stephane, I., (2013), On Stabilization of Positive Linear Systems, Applied Mathematical Science, Vol. 7, No. 37: 1819-1824.

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.

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Published

2014-10-29

Issue

Vol. 10 No. 2 (2013): Juni 2013

Section

Articles

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