KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT

  • Monalisa E. Rijoly Jurusan Matematika FMIPA Universitas Pattimura
  • Henry J. Wattimanela Jurusan Matematika FMIPA Universitas Pattimura
  • Rudy W. Matakupan Jurusan Matematika FMIPA Universitas Pattimura
Keywords: Integral Inequalities Of Gronwall-Bellman, Power Function

Abstract

Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of these functions. In addition, the integral inequality of Gronwall-Bellman shows that if a function is bounded to a certain integral values then that function is also bounded for the other conditions, that is the exponential of integral. Furthermore, by adding some specific conditions the integral inequality of Gronwall-Bellman can be extended to the case of power functions.

Downloads

Download data is not yet available.

References

Bainov, Drumi. & Simeonov, Pavel. (1991). Integral Inequualities And Applications, Kluwer Academic Publishers, USA.
Choy, Sung Kyu. Kang, Bowon. & Koo, Namjip. (2007). On Inequalities Of Gronwall Type, hlm. 561 – 586, Department of Mathematics Chungnam University Daejeon 305-764, Republic of Korea.
Negoro ST. & Harahap, B. (2005). Ensiklopedia Matematika, Ghalia, Bogor Selatan.
Oguntuase, James Adedayo. (2001). On An Inequality Of Gronwall, hlm. 1 – 6, Department Of Mathematical Sciences, University Of Agriculture, Abeokuta, Nigeria.
Owaidy, H. El , Ragab, A. & Abdeldaim, A. (1999). On Some New Integral Inequalities Of Gronwall – Bellman Type, hlm. 289 – 303, Department of Mathematics, Faculty of Science, AL-Azhar
University, Nasr – City.
Purcell, Edwin J. dkk. (2003). Kalkulus Jilid 1 Edisi Kedelapan, Erlangga, Jakarta.
Riyanto, M. Zaki. 2008. Pengantar Analisis Real I., Yogyakarta.
http://www.google.co.id/url?sa=t&source=web&cd=2&ved=0CCEQFjAB&url=http%3A%2F%2Fwww.emis.de%2Fjournals%2FDM%2FvXI2%2Fart4.pdf&rct=j&q=integral%20inequality&ei=EFLZTc7ODI7evQP
IPWkBw&usg=AFQjCNGX8Hm1t4ZnSkpqNQGCMufH0qXUzw&cad=rja.18 Mei 2011, Pkl. 21.45WIT
http://en.wikipedia.org/wiki/Minkowski_inequality. 20Mei 2011, Pkl. 20.00 WIT
Published
2018-01-26
How to Cite
[1]
M. Rijoly, H. Wattimanela, and R. Matakupan, “KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT”, BAREKENG, vol. 5, no. 2, pp. 15-24, Jan. 2018.