메뉴 건너뛰기




Volumn 41, Issue 3-4, 2000, Pages 345-369

A Galerkin-averaging method for weakly nonlinear equations

Author keywords

Differential diference equations; Galerkin averaging method; Schr dinger equations

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENCE EQUATIONS; ERROR ANALYSIS; GALERKIN METHODS; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS;

EID: 0034230652     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00281-8     Document Type: Article
Times cited : (4)

References (14)
  • 3
    • 0002621704 scopus 로고
    • A functional differential system of neutral type arising in a two-body problem of classical electrodynamics
    • Academic Press, New York
    • R.D. Driver, A functional differential system of neutral type arising in a two-body problem of classical electrodynamics, in: Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York, 1963, pp. 474-484.
    • (1963) Nonlinear Differential Equations and Nonlinear Mechanics , pp. 474-484
    • Driver, R.D.1
  • 4
    • 0007226031 scopus 로고
    • A convergent two-time method for periodic differential equations
    • J.P. Fink, W.S. Hall, A.R. Hausrath, A convergent two-time method for periodic differential equations, J. Differential Equations 15 (1974) 459-498.
    • (1974) J. Differential Equations , vol.15 , pp. 459-498
    • Fink, J.P.1    Hall, W.S.2    Hausrath, A.R.3
  • 5
    • 0003103931 scopus 로고
    • Averaging methods for differential equations with retarded arguments and a small parameter
    • J.K. Hale, Averaging methods for differential equations with retarded arguments and a small parameter, J. Differential Equations 2 (1966) 57-73.
    • (1966) J. Differential Equations , vol.2 , pp. 57-73
    • Hale, J.K.1
  • 6
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer, Berlin
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lectures Notes in Math., vol. 840, Springer, Berlin, 1981.
    • (1981) Lectures Notes in Math. , vol.840
    • Henry, D.1
  • 7
    • 84988143979 scopus 로고
    • On a Galerkin-averaging method for weakly nonlinear wave equations
    • M.S. Krol, On a Galerkin-averaging method for weakly nonlinear wave equations, Math. Meth. Appl. Sci. 11 (1989) 649-664.
    • (1989) Math. Meth. Appl. Sci. , vol.11 , pp. 649-664
    • Krol, M.S.1
  • 8
    • 0007224036 scopus 로고
    • The averaging principle in certain partial differential boundary problems
    • in Russian
    • J. Kurzweil, The averaging principle in certain partial differential boundary problems, Čas. Pěst. Mat. 88, 1963, 444-456 (in Russian).
    • (1963) Čas. Pěst. Mat. , vol.88 , pp. 444-456
    • Kurzweil, J.1
  • 9
    • 0003214613 scopus 로고
    • Bernstein Polynomials
    • Toronto
    • G.G. Lorentz, Bernstein Polynomials, Math. Expos. 8, Toronto, 1953.
    • (1953) Math. Expos. , vol.8
    • Lorentz, G.G.1
  • 10
    • 0030269048 scopus 로고    scopus 로고
    • The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions
    • H. Pals, The Galerkin-averaging method for the Klein-Gordon equation in two space dimensions, Nonlinear Anal. Theory Meth. Appl. 27 (1996) 841-856.
    • (1996) Nonlinear Anal. Theory Meth. Appl. , vol.27 , pp. 841-856
    • Pals, H.1
  • 11
    • 0007216255 scopus 로고
    • Application of a combined Galerkin-averaging method, in: Asymptotic Analysis II
    • Springer, Berlin
    • G.G. Rafel, Application of a combined Galerkin-averaging method, in: Asymptotic Analysis II, Lecture Notes Math., vol. 985, Springer, Berlin, 1983, pp. 349-369.
    • (1983) Lecture Notes Math. , vol.985 , pp. 349-369
    • Rafel, G.G.1
  • 13
    • 84988147500 scopus 로고
    • The Galerkin-averaging method for nonlinear, undamped continuous systems
    • A.C.J. Stroucken, F. Verhulst, The Galerkin-averaging method for nonlinear, undamped continuous systems, Math. Meth. Appl. Sci. 9 (1987) 520-549.
    • (1987) Math. Meth. Appl. Sci. , vol.9 , pp. 520-549
    • Stroucken, A.C.J.1    Verhulst, F.2
  • 14
    • 0006479227 scopus 로고
    • Applied Functional Analysis; Applications to Mathematical Physics
    • Springer, New York
    • E. Zeidler, Applied Functional Analysis; Applications to Mathematical Physics, Appl. Math. Sciences, vol. 108, Springer, New York, 1995.
    • (1995) Appl. Math. Sciences , vol.108
    • Zeidler, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.