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Volumn 248, Issue 1, 2000, Pages 309-326

Effects of varying nonlinearity and their singular perturbation flavour

Author keywords

Boundary layer; Convergence of solutions; Delta method; Interval of existence; Singular perturbations; Varying nonlinearity

Indexed keywords


EID: 0034238940     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6912     Document Type: Article
Times cited : (4)

References (14)
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    • Bender C. M. New approach to the solutions of nonlinear problems. Fournier J.-D., Sulem P.-L., Large Scale Structures in Nonlinear Physics. Lecture Notes in Physics. 392:1991;190-210 Springer-Verlag, Berlin.
    • (1991) Lecture Notes in Physics , vol.392 , pp. 190-210
    • Bender, C.M.1
  • 4
    • 0000712633 scopus 로고
    • Nonperturbative square-well approximation to a quantum theory
    • Boettcher S., Bender C. M. Nonperturbative square-well approximation to a quantum theory. J. Math. Phys. 31:1990;2579-2585.
    • (1990) J. Math. Phys. , vol.31 , pp. 2579-2585
    • Boettcher, S.1    Bender, C.M.2
  • 7
    • 0002135251 scopus 로고    scopus 로고
    • Solutions of a nonlinear boundary value problem with a large parameter
    • Fang W., Gingold H. Solutions of a nonlinear boundary value problem with a large parameter. J. Math. Anal. Appl. 236:1999;520-533.
    • (1999) J. Math. Anal. Appl. , vol.236 , pp. 520-533
    • Fang, W.1    Gingold, H.2
  • 8
    • 0001508926 scopus 로고
    • Further studies in Emden's and similar differential equations
    • Fowler R. H. Further studies in Emden's and similar differential equations. Quart. J. Math. 2:1931;259-288.
    • (1931) Quart. J. Math. , vol.2 , pp. 259-288
    • Fowler, R.H.1
  • 9
    • 0033101672 scopus 로고    scopus 로고
    • Flattening of ellipses by growing nonlinearities
    • Gingold H. Flattening of ellipses by growing nonlinearities. J. Nonlinear Anal. 35:1999;781-795.
    • (1999) J. Nonlinear Anal. , vol.35 , pp. 781-795
    • Gingold, H.1
  • 10
    • 0002090655 scopus 로고
    • Problems of mathematical physics which depend on a parameter and Jacobi series
    • Gingold H. Problems of mathematical physics which depend on a parameter and Jacobi series. Adv. Appl. Math. 5:1984;1-67.
    • (1984) Adv. Appl. Math. , vol.5 , pp. 1-67
    • Gingold, H.1
  • 11
    • 0040360942 scopus 로고    scopus 로고
    • Asymptotics beyond all orders for a certain type of nonlinear oscillators
    • Hu Jishan. Asymptotics beyond all orders for a certain type of nonlinear oscillators. Stud. Appl. Math. 96:1996;85-109.
    • (1996) Stud. Appl. Math. , vol.96 , pp. 85-109
    • Hu, J.1
  • 14
    • 0016495927 scopus 로고
    • On the generalized Emden-Fowler equation
    • Wong J. S. On the generalized Emden-Fowler equation. SIAM Rev. 17:1985;339-360.
    • (1985) SIAM Rev. , vol.17 , pp. 339-360
    • Wong, J.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.