EXISTENCE AND UNIQUENESS RESULTS FOR ORDINARY DIFFERENTIAL EQUATIONS
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mt Math Consortium
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we give some new results concerning solvability of first order singular problems. We study mainly the differential equation x' = f(t, x). We prove that the existence theorem of Caratheodory remains true if f is not defined at the given initial point and satisfies more flexible conditions. This theorem allows us to develop theorems on the existence and uniqueness of the solution of systems of differential equations and high order differential equations. We introduce a more general form of the initial value problems and try to develop this idea.
Açıklama
Anahtar Kelimeler
Initial value problem, Caratheodory's theorem, singularity
Kaynak
Rocky Mountain Journal Of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
39
Sayı
6
