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Volumn 99, Issue 3, 1997, Pages 285-310

A method for incorporating transcendentally small terms into the method of matched asymptotic expansions

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC SOLUTIONS; GAUGE FUNCTIONS; LEADING TERMS; MATCHED ASYMPTOTIC EXPANSION; MATCHINGS; RESONANCE PROBLEM; SOLUTION PROBLEMS; SPURIOUS SOLUTIONS; STANDARD EXPANSIONS; TYPE EXPANSIONS;

EID: 0040944362     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9590.00062     Document Type: Article
Times cited : (23)

References (17)
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  • 2
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    • J. GRASMAN and B. J. MATKOWSKY, A variational approach to singularly perturbed boundary value problems for ordinary and partial differential equations with turning points, SIAM J. Appl. Math. 32:588-597 (1976).
    • (1976) SIAM J. Appl. Math. , vol.32 , pp. 588-597
    • Grasman, J.1    Matkowsky, B.J.2
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    • 0003324745 scopus 로고
    • Multiple scale and singular perturbation methods
    • Springer-Verlag, New York
    • J. KEVORKIAN and J. D. COLE, Multiple Scale and Singular Perturbation Methods, Applied Mathematical Sciences, Vol. 114, Springer-Verlag, New York, 1966.
    • (1966) Applied Mathematical Sciences , vol.114
    • Kevorkian, J.1    Cole, J.D.2
  • 8
    • 0023399088 scopus 로고
    • A variational approach to nonlinear singularly perturbed boundary value problems
    • W. KATH, C. KNESSL, and B. MATKOWSKY, A variational approach to nonlinear singularly perturbed boundary value problems, Stud. Appl. Math. 77:61-88 (1987).
    • (1987) Stud. Appl. Math. , vol.77 , pp. 61-88
    • Kath, W.1    Knessl, C.2    Matkowsky, B.3
  • 9
    • 0016950893 scopus 로고
    • Phase-plane solutions to some singular perturbation problems
    • R. E. O'MALLEY, JR., Phase-plane solutions to some singular perturbation problems, J. Math. Anal. Appl. 54:449-466 (1976).
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    • O'Malley R.E., Jr.1
  • 10
    • 0020764959 scopus 로고
    • On spurious solutions of singular perturbation problems
    • C. G. LANGE, On spurious solutions of singular perturbation problems, Stud. Appl. Math. 68:227-257 (1983).
    • (1983) Stud. Appl. Math. , vol.68 , pp. 227-257
    • Lange, C.G.1
  • 11
    • 0002999132 scopus 로고
    • Eliminating indeterminacy in singularly perturbed boundary value problems with translation invariant potentials
    • M. J. WARD, Eliminating indeterminacy in singularly perturbed boundary value problems with translation invariant potentials. Stud. Appl. Math. 87:95-134 (1992).
    • (1992) Stud. Appl. Math. , vol.87 , pp. 95-134
    • Ward, M.J.1
  • 12
    • 0027071134 scopus 로고
    • Asymptotic behavior of solutions of a similarity equation for laminar flows in channels with porous walls
    • C. LU, A. D. MACGILLIVRAY, and S. P. HASTINGS, Asymptotic behavior of solutions of a similarity equation for laminar flows in channels with porous walls, IMA J. Appl. Math. 49:139-162 (1992).
    • (1992) IMA J. Appl. Math. , vol.49 , pp. 139-162
    • Lu, C.1    Macgillivray, A.D.2    Hastings, S.P.3
  • 13
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    • Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem
    • A. D. MACGILLIVRAY and CHUNQING LU, Asymptotic solution of a laminar flow in a porous channel with large suction: A nonlinear turning point problem, Methods Appl. Anal. 1:229-248 (1994).
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    • Macgillivray, A.D.1    Chunqing, L.U.2
  • 14
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    • Asymptotic analysis of the peeling-off point of a duck trajectory
    • A. DEAN MACGILLIVRAY, BING LIU, and NICHOLAS D. KAZARINOFF, Asymptotic analysis of the peeling-off point of a duck trajectory, Methods Appl. Anal. 1:488-509 (1994).
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  • 15
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.