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Volumn 277, Issue 2, 2003, Pages 405-422

Multi-bump solutions to Carrier's problem

Author keywords

Multi spike solutions; Shooting argument; Singular perturbation

Indexed keywords


EID: 0037439479     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00346-3     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0036496952 scopus 로고    scopus 로고
    • Multipulse-like orbits for a singularly perturbed nearly-integrable system
    • S. Ai, Multipulse-like orbits for a singularly perturbed nearly-integrable system, J. Differential Equations 179 (2002) 384-432.
    • (2002) J. Differential Equations , vol.179 , pp. 384-432
    • Ai, S.1
  • 2
    • 85031200331 scopus 로고    scopus 로고
    • A shooting approach to layers and chaos in a forced Duffing equation
    • to appear
    • S. Ai, S.P. Hastings, A shooting approach to layers and chaos in a forced Duffing equation, J. Differential Equations, to appear.
    • J. Differential Equations
    • Ai, S.1    Hastings, S.P.2
  • 4
    • 0014767306 scopus 로고
    • Singular perturbation theory and geophysics
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    • (1970) SIAM Rev. , vol.12 , pp. 175-193
    • Carrier, G.F.1
  • 7
    • 0000616123 scopus 로고    scopus 로고
    • Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method
    • C. Gui, Existence of multi-bump solutions for nonlinear Schrödinger equations via variational method, Comm. Partial Differential Equations 21 (1996) 787-820.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 787-820
    • Gui, C.1
  • 8
    • 34249920560 scopus 로고
    • On the periodic solutions of a forced second-order equation
    • S.P. Hastings, J.B. McLeod, On the periodic solutions of a forced second-order equation, J. Nonlinear Sci. 1 (1991) 225-245.
    • (1991) J. Nonlinear Sci. , vol.1 , pp. 225-245
    • Hastings, S.P.1    McLeod, J.B.2
  • 9
    • 0022075949 scopus 로고
    • Slowly varying phase plane and boundary layer theory
    • W. Kath, Slowly varying phase plane and boundary layer theory, Stud. Appl. Math. 72 (1985) 221-239.
    • (1985) Stud. Appl. Math. , vol.72 , pp. 221-239
    • Kath, W.1
  • 10
    • 0012856906 scopus 로고
    • A variation approach to nonlinear singularly perturbed boundary value problems
    • W. Kath, C. Knessl, B. Matkowsky, A variation approach to nonlinear singularly perturbed boundary value problems, Stud. Appl. Math. 54 (1987) 449-466.
    • (1987) Stud. Appl. Math. , vol.54 , pp. 449-466
    • Kath, W.1    Knessl, C.2    Matkowsky, B.3
  • 11
    • 0035869895 scopus 로고    scopus 로고
    • A singular perturbation problem of Carrier and Pearson
    • W.G. Kelley, A singular perturbation problem of Carrier and Pearson, J. Math. Anal. Appl. 255 (2001) 678-697.
    • (2001) J. Math. Anal. Appl. , vol.255 , pp. 678-697
    • Kelley, W.G.1
  • 12
    • 0020764959 scopus 로고
    • On spurious solutions of singular perturbation problems
    • C.G. Lange, On spurious solutions of singular perturbation problems, Stud. Appl. Math. 68 (1983) 227-257.
    • (1983) Stud. Appl. Math. , vol.68 , pp. 227-257
    • Lange, C.G.1
  • 14
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    • 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 (1976) 449-466.
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  • 16
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    • 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 (1992) 95-134.
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    • Ward, M.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.