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

Department of Environmental Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	369-382
Number of pages	14
Journal	Applied Mathematics and Computation
Volume	130
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(01)00102-3
Publication status	Published - 15 Aug 2002

Funding

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

Funders	Funder number
Natural Science Foundation of Yunnan Province	97A012G, 96A001M, 1999F0017M

Keywords

Existence
Non-autonomous
Periodic solution
Stationary oscillation
Uniqueness

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10.1016/S0096-3003(01)00102-3

Cite this

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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.",

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

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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

Abstract

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Keywords

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