Periodic solutions of the higher-dimensional non-autonomous systems

M. Koch; A. Yediler; D. Lienert; G. Insel; A. Kettrup

doi:10.1016/S0096-3003(01)00102-3

Periodic solutions of the higher-dimensional non-autonomous systems

M. Koch, A. Yediler, D. Lienert, G. Insel, A. Kettrup

Çevre Mühendisliği Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

9 Atıf (Scopus)

Özet

In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	369-382
Sayfa sayısı	14
Dergi	Applied Mathematics and Computation
Hacim	130
Basın numarası	2-3
DOI'lar	https://doi.org/10.1016/S0096-3003(01)00102-3
Yayın durumu	Yayınlandı - 15 Ağu 2002

Finansman

This project is supported by the Natural Science Foundation of Yunnan Province, China, under grant 1999F0017M, 97A012G and 96A001M.

Finansörler	Finansör numarası
Natural Science Foundation of Yunnan Province	97A012G, 96A001M, 1999F0017M

Belgeye Erişim

10.1016/S0096-3003(01)00102-3

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{d65d4e170de6412e936040a94342aeb1,

title = "Periodic solutions of the higher-dimensional non-autonomous systems",

abstract = "In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.",

keywords = "Existence, Non-autonomous, Periodic solution, Stationary oscillation, Uniqueness",

author = "M. Koch and A. Yediler and D. Lienert and G. Insel and A. Kettrup",

year = "2002",

month = aug,

day = "15",

doi = "10.1016/S0096-3003(01)00102-3",

language = "English",

volume = "130",

pages = "369--382",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2-3",

}

TY - JOUR

T1 - Periodic solutions of the higher-dimensional non-autonomous systems

AU - Koch, M.

AU - Yediler, A.

AU - Lienert, D.

AU - Insel, G.

AU - Kettrup, A.

PY - 2002/8/15

Y1 - 2002/8/15

N2 - In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.

AB - In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.

KW - Existence

KW - Non-autonomous

KW - Periodic solution

KW - Stationary oscillation

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=0037102880&partnerID=8YFLogxK

U2 - 10.1016/S0096-3003(01)00102-3

DO - 10.1016/S0096-3003(01)00102-3

M3 - Article

AN - SCOPUS:0037102880

SN - 0096-3003

VL - 130

SP - 369

EP - 382

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2-3

ER -

Periodic solutions of the higher-dimensional non-autonomous systems

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap