Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Po-Fang Hsieh"'
Autor:
Po-Fang Hsieh, Yasutaka Sibuya
The authors'aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in
Publikováno v:
Journal of Mathematical Analysis and Applications. 182(1):269-286
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6605797e19216cf34c88edaaa417b491
Autor:
Harry Gingold, Po-Fang Hsieh
Publikováno v:
Linear Algebra and its Applications. 169:75-101
A well-known fundamental theorem of Schur guarantees that every constant matrix A is unitarily similar to a triangular matrix. If A(t) is a matrix-valued function analytic on [ a, b ] with real eigenvalues, it is shown in this paper via a constructiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bf530aa5cbabb6c965de2e0d3696364
Autor:
Po-Fang Hsieh, Yasutaka Sibuya
Publikováno v:
Universitext ISBN: 9781461271710
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cc21d0d26d480fb595d1705a25f0c20
https://doi.org/10.1007/978-1-4612-1506-6_2
https://doi.org/10.1007/978-1-4612-1506-6_2
Autor:
Yasutaka Sibuya, Po-Fang Hsieh
Publikováno v:
Universitext ISBN: 9781461271710
In this chapter, we explain the structure of asymptotic solutions of a system of differential equations at a singular point of the second kind. In §§XIII-1,XIII-2, and XIII-3, a basic existence theorem of asymptotic solutions in the sense of Poinca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16d38a31d3a85c83e6f91380fe7a01d6
https://doi.org/10.1007/978-1-4612-1506-6_13
https://doi.org/10.1007/978-1-4612-1506-6_13
Autor:
Yasutaka Sibuya, Po-Fang Hsieh
Publikováno v:
Universitext ISBN: 9781461271710
In this chapter, we explain asymptotic solutions of a system of differential equations \({{\epsilon }^{\sigma }}\frac{{d\vec{y}}}{{dx}} = \vec{f}\left( {x,\vec{y},\epsilon } \right){\text{ as }}\epsilon \to 0\) In §§XII-1, XII-2, and XII-3, existen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::977e16b0a2ff5295f32586109998a65a
https://doi.org/10.1007/978-1-4612-1506-6_12
https://doi.org/10.1007/978-1-4612-1506-6_12
Autor:
Po-Fang Hsieh, Yasutaka Sibuya
Publikováno v:
Universitext ISBN: 9781461271710
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::846664a9458f4e5efb7cc9e5fea842d8
https://doi.org/10.1007/978-1-4612-1506-6
https://doi.org/10.1007/978-1-4612-1506-6
Autor:
Po-Fang Hsieh, Yasutaka Sibuya
Publikováno v:
Universitext ISBN: 9781461271710
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2191efd64862631cba421d4ee6cbb359
https://doi.org/10.1007/978-1-4612-1506-6_3
https://doi.org/10.1007/978-1-4612-1506-6_3
Autor:
Po-Fang Hsieh, Yasutaka Sibuya
Publikováno v:
Universitext ISBN: 9781461271710
In this chapter, we explain (1) oscillation of solutions of a homogeneous second-order linear differential equation (§VI-1), (2) the Sturm-Liouville problems (§§VI2—VI-4, topics including Green’s functions, self-adjointness, distribution of ei
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6437d0aa9c276f64dfbb1bfa82d9485
https://doi.org/10.1007/978-1-4612-1506-6_6
https://doi.org/10.1007/978-1-4612-1506-6_6
Autor:
Yasutaka Sibuya, Po-Fang Hsieh
Publikováno v:
Universitext ISBN: 9781461271710
In this chapter, we consider a system of differential equations $$x\frac{{d\vec{y}}}{{dx}} = \vec{f}\left( {x,\vec{y}} \right)$$ (E) assuming that the entries of the \({{\mathbb{C}}^{n}}\)-valued function \(\vec{f}\) are convergent power series in co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe876d29f34998fef2f61cf4376ec5a8
https://doi.org/10.1007/978-1-4612-1506-6_5
https://doi.org/10.1007/978-1-4612-1506-6_5