Strong Convergence of Generalized Resolvents

Let M and fLng be a linear, closed, densely defined operator and a sequence of linear, closed, densely defined operators in a Banach Space X respectively. We consider a sequence of generalized resolvents fRn(¸)g, where Rn(¸) = (Ln¡¸M)¡1M. In this paper, we will prove that the sequence fRn(¸)g is uniformly bounded in n and ¸ in any compact subset of a certain open set. Then we will concern with consideration on strong convergence of fRn(¸)g. Finally we will give a criterion for the sequence fRn(¸)g converges strongly.Keywords : generalized resolvent, uniformly bounded, strong convergenc

SECOND ORDER CONE (SOC) DAN SIFAT-SIFAT KENDALA SECOND ORDER CONE PROGRAMMING DENGAN NORMA 1

Pada makalah ini dikembangkan pengertian Second Order Cone (SOC) dan sifat-sifat kendala Second Order Cone Programming dengan Norma 1. Kata kunci: Second Order Cone (SOC), Second Order Cone Programming

KEKONVEKSKAN DAERAH FISIBEL SECOND ORDER CONE PROGRAMMING DENGAN NORMA 1

Pada makalah ini disampaikan kekonvekskan daerah fisibel Second Order Cone Programming dengan Norma 1. Kata kunci: daerah fisibel, Second Order Cone Programmin

EKSISTENSI DAN KESTABILAN SOLUSI GELOMBANG JALAN MODEL KUASILINER DISSIPATIF DUA KANAL

Pada paper ini akan dibahas solusi gelombang jalan model kuasilinear dissipatif dua kanal. Kecepatan gelombang ditentukan dengan syarat Rankine-Hugoniot. Solusi gelombang jalan heteroklinik dapat disajikan secara eksplisit dalam fungsi parameter. Dari penelitian diperoleh solusi gelombang jalan yang berupa gelombang kejut atau penyelesaian bernilai banyak (multivalued solution) yang mempunyai titik singular. Selanjutnya kestabilan solusi gelombang jalan dianalisa dengan metode energi. Keyword: solusi gelombang jalan, kestabilan, sistem hiperbolik tak linie

THE ANALITICAL SOLUTIONS OF THE LINEAR TWO CHANNELS DISSIPATION MODEL

The analytical solutions of the linear two channels dissipation model are presented in various forms. First we analyze the particular solutions of this model. Then the model is transformed into the Telegrapher Equation and further into the Klein Gordon Equation for which various families of solutions are known. The Fourier Transform is applied on the Telegrapher Equation, yielding solutions in Fourier representation. Finally we apply the method ofcharacteristics to find solutions of the initial value problem.Keywords : hyperbolic system, partial differential equation, exact solutio

Transfer Function, Stabilizability, and Detectability of Non-autonomous Riesz-spectral Systems

Stability of a state linear system can be identified by controllability, observability, stabilizability, detectability, and transfer function. The approximate controllability and observability of non-autonomous Riesz-spectral systems have been established as well as non-autonomous Sturm-Liouville systems. As a continuation of the establishments, this paper concern on the analysis of the transfer function, stabilizability, and detectability of the non-autonomous Riesz-spectral systems. A strongly continuous quasi semigroup approach is implemented. The results show that the transfer function, stabilizability, and detectability can be established comprehensively in the non-autonomous Riesz-spectral systems. In particular, sufficient and necessary conditions for the stabilizability and detectability can be constructed. These results are parallel with infinite dimensional of autonomous systems

MODEL SIS DENGAN PERTUMBUHAN LOGISTIK

Dalam paper ini akan dibahas model interaksi satu spesies yang dipengaruhi oleh penyakit, dimana spesies tidak mengalami kekebalan setelah terinfeksi, sehingga kelas rentan berpindah ke kelas terinfeksi ketika terjadi penginfeksian dan akan kembali ke kelas rentan setelah penyembuhan (SIS). Lebih khusus model ini dibatasi dengan asumsi penyakit mengurangi reproduksi dan penyakit berelasi dengan kematian. Jika tidak ada penyakit, maka model merupakan persamaan logistik biasa, dengan pertumbuhan terbatas. Selanjutnya akan akan dianalisa kestabilan dan perilaku asimtotis di sekitar titik ekuilibriumnya. Kata kunci : Model SIS, Model pertumbuhan logisti

A Stability Mathematical Model of Nasopharyngeal Carcinoma on Cellular Level

This paper discussed the stability of “Tumorigenesis Models†to link between EBV and carcinoma of the nasopharyngeal from normal cell to invasive carcinoma. The review on this case accomplished the previous theorem of equilibrium point on “Tumorigenesis Modelsâ€

Link of Nasopharyngeal Carcinoma and Epstein-Barr Virus

Nasopharyngeal Carcinoma (NPC) is a cancer that occurs in nasopharynx which is associated with Epstein-Barr Virus (EBV). Mutation agents in nasopharyngeal neoplasms occur because of EBV infection. Transformation of B-cells due to EBV causes hormone imbalance in lymphoid cells or nasopharyngeal epithelial tissue. Rates of EBV infection have been shown to be prognostic to NPC. The basic level of EBV DNA can be used for stratification prognosis, with higher titers showing greater disease severity and worse outcomes. With mathematical models, there is a correlation between the increase in Epstein-Barr Virus and the increase in Invasive Carcinoma Cells or increase in Nasopharyngeal Carcinoma Cells

Molt in Birds Inhabiting a Human-Dominated Habitat

Molt is one of the biological processes in the life of birds that requires high energy. Therefore, it usually occurs when food is abundant. However, molt and breeding overlap have been recorded in the tropics. There are very few studies on bird molting patterns in Indonesia. This study aimed at describing molt in birds that inhabit a human-dominated habitat in Bogor Agricultural University Campus in Bogor, West Java. Molt of primary feathers of adult birds were checked during bird monitoring using mist nets from August 2010 to December 2013. Occurrence of brood patch as indicator of breeding stage was also recorded. Molt data were obtained from 230 adult birds from 29 species. Molts occurred from February to December, with most birds having active molts in July and October. Breeding occurred in March, April, July, and October, with the peak of breeding occurring in March. Molt and breeding overlap were identified only in three species, i.e. Eurasian Tree Sparrow (Passer montanus), Horsfield's Babbler (Malacocincla sepiarium), and Scarlet-headed Flowerpecker (Dicaeum trochileum). This study suggests that resources in the study site are available for conservation of bird community in human-dominated habitat. However, further research is needed to assess food availability and bird breeding success