On stability of nonlinear systems of ordinary differential equations
The notions of φ 0-stability, ( h 0, h)-stability integral and eventual stability of nonlinear systems of ordinary differential equations (ODE's) are introduced. Our aim in this paper is to improve and extend these notions to new types of stability namely, φ 0– L p -stability, ( h 0, h)-integra...
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Published in | Applied mathematics and computation Vol. 113; no. 2; pp. 175 - 198 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
New York, NY
Elsevier Inc
15.07.2000
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | The notions of
φ
0-stability, (
h
0,
h)-stability integral and eventual stability of nonlinear systems of ordinary differential equations (ODE's) are introduced. Our aim in this paper is to improve and extend these notions to new types of stability namely,
φ
0–
L
p
-stability, (
h
0,
h)-integral stability and (
h
0,
h)-eventual stability of systems of ODE's, respectively, and given some criteria. Our technique depends on Liapunov direct method. |
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ISSN: | 0096-3003 1873-5649 |
DOI: | 10.1016/S0096-3003(99)00082-X |