Layanan journal yang disediakan oleh Perpustakaan Universitas Gunadarma
| Judul Artikel | : | ANALISIS KESTABILAN PENYELESAIAN TRIVIAL PERSAMAAN DIFERENSIAL DENGAN METODE KEDUA LYAPUNOV |
|---|---|---|
| Judul Terbitan | : | SIGMA : Jurnal Sains dan Teknologi |
| ISSN | : | 14105888 |
| Bahasa | : | IND |
| Tempat Terbit | : | Yogyakarta |
| Tahun | : | 0000 |
| Volume | : | Vol. 9 Issue 1 0000 |
| Penerbit | : | LPUSD |
| Frekuensi Penerbitan | : | |
| Penulis | : | Sudi Mungkasi |
| Abstraksi | : | This paper discusses the Lyapunov-Second Method (the direct method), a method for studying the stability of a solution, which is very different from the Lyapunov-First Method (the method of linearization). Lyapunov-Second Method is formulated from the principle for the stability of a mechanical system: "A mechanical system, which is in a state where its potential energy has an isolated minimum, is in a state of stable equilibrium." Starting from this principle, ideas of stability were generalized. Differential equations, which have not been characterized apriori by a potential energy or a quantity energy in general, are studied. To analyze the stability of trivial solution, the Lyapunov-function will be introduced |
| Kata Kunci | : | Direct method; Lyapunov-function; trivial solution; stability |
| Lokasi | : | p. 39 |
| Terakreditasi | : | belum |