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Volumn 51, Issue 7, 2002, Pages 1207-1222

The method of lower and upper solutions and the stability of periodic oscillations

Author keywords

Lower and upper solutions; Lyapunov stability; Periodic solutions; Twist condition

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; LINEARIZATION; LYAPUNOV METHODS; NONLINEAR SYSTEMS; OSCILLATIONS; SYSTEM STABILITY; THEOREM PROVING; TIME VARYING SYSTEMS;

EID: 0036885507     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00888-4     Document Type: Article
Times cited : (19)

References (20)
  • 5
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    • Upper and lower solutions in the theory of ODE boundary value problems: Classical and recent results
    • F. Zanolin (Ed.), Nonlinear Analysis and Boundary Value Problems for Ordinary Differential Equations, Springer Verlag, New York
    • (1996) CISM-ICMS Courses and Lectures , vol.371
    • De Coster, C.1    Habets, P.2
  • 6
    • 0000652097 scopus 로고
    • Sur les courbes invariantes par les difféomorphismes de l'anneu I
    • (1983) Asterisque , pp. 103-104
    • Herman, M.1
  • 9
    • 0000456667 scopus 로고
    • Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
    • (1982) Topology , vol.21 , pp. 457-467
    • Mather, J.N.1
  • 11
    • 51249181420 scopus 로고
    • An example of a Schroedinger operator with almost periodic potential and nowhere dense spectrum
    • (1986) Comm. Math. Helv. , vol.56 , pp. 198-224
    • Moser, J.1
  • 13
    • 0000494712 scopus 로고
    • Topological degree and stability of periodic solutions for certain differential equations
    • (1990) J. London Math. Soc. , vol.42 , pp. 505-516
    • Ortega, R.1
  • 20
    • 0034272121 scopus 로고    scopus 로고
    • Existence and uniqueness of elliptic periodic solutions of the brillouin electron beam focusing system
    • accepted for publication
    • (2000) Math. Met. Appl. Sci. , vol.23 , pp. 1139-1143
    • Torres, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.