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Volumn 189, Issue 1, 2007, Pages 869-877

Singularly perturbed third-order boundary value problem for nonlinear systems

Author keywords

Asymptotic estimates; Boundary value problems; Nonlinear systems; Singular perturbation; Upper and lower solutions

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY VALUE PROBLEMS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES;

EID: 34248369004     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.167     Document Type: Article
Times cited : (9)

References (12)
  • 1
    • 84972496546 scopus 로고
    • A boundary value problem for a singularly perturbed differential equation
    • Levinson N. A boundary value problem for a singularly perturbed differential equation. Duke Math. J. 25 (1958) 331-343
    • (1958) Duke Math. J. , vol.25 , pp. 331-343
    • Levinson, N.1
  • 2
    • 34248327474 scopus 로고
    • Univ. Oklahoma, Norman
    • Goecke D.M. Third-order differential inequalities and singular perturbations. Doctoral Dissertation (1979), Univ. Oklahoma, Norman
    • (1979) Doctoral Dissertation
    • Goecke, D.M.1
  • 3
    • 0002841322 scopus 로고
    • Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems
    • Howes F.A. Differential inequalities of higher order and the asymptotic solution of nonlinear boundary value problems. SIAM J. Appl. Math. 13 (1982) 61-80
    • (1982) SIAM J. Appl. Math. , vol.13 , pp. 61-80
    • Howes, F.A.1
  • 4
    • 0020830910 scopus 로고
    • The asymptotic solution of a class of third-order boundary value problem arising in the theory of thin film flow
    • Howes F.A. The asymptotic solution of a class of third-order boundary value problem arising in the theory of thin film flow. SIAM J. Appl. Math. 43 (1983) 993-1004
    • (1983) SIAM J. Appl. Math. , vol.43 , pp. 993-1004
    • Howes, F.A.1
  • 5
    • 0037431567 scopus 로고    scopus 로고
    • A simple perturbation approach to Blasius equation
    • He J. A simple perturbation approach to Blasius equation. Appl. Math. Comput. 140 (2003) 217-222
    • (2003) Appl. Math. Comput. , vol.140 , pp. 217-222
    • He, J.1
  • 6
    • 44949286572 scopus 로고
    • Singular perturbations of boundary value problems for a class of third-order nonlinear ordinary differential equations
    • Zhao W. Singular perturbations of boundary value problems for a class of third-order nonlinear ordinary differential equations. J. Differen. Equat. 88 (1990) 265-278
    • (1990) J. Differen. Equat. , vol.88 , pp. 265-278
    • Zhao, W.1
  • 7
    • 43949158123 scopus 로고
    • Singularly perturbed high order boundary value problems
    • Feckon M. Singularly perturbed high order boundary value problems. J. Differen. Equat. 11 (1994) 79-102
    • (1994) J. Differen. Equat. , vol.11 , pp. 79-102
    • Feckon, M.1
  • 8
    • 27144507815 scopus 로고    scopus 로고
    • Singular perturbations for third-order nonlinear multi-point boundary value problem
    • Du Z., Ge W., and Zhou M. Singular perturbations for third-order nonlinear multi-point boundary value problem. J. Differen. Equat. 218 1 (2005) 69-90
    • (2005) J. Differen. Equat. , vol.218 , Issue.1 , pp. 69-90
    • Du, Z.1    Ge, W.2    Zhou, M.3
  • 9
    • 0036725828 scopus 로고    scopus 로고
    • An asymptotic numerical method for singular perturbed third-order differential equations of convection-diffusion type
    • Valarmathi S., and Ramanujam N. An asymptotic numerical method for singular perturbed third-order differential equations of convection-diffusion type. Comput. Math. Appl. 44 (2002) 693-710
    • (2002) Comput. Math. Appl. , vol.44 , pp. 693-710
    • Valarmathi, S.1    Ramanujam, N.2
  • 11
    • 33745918776 scopus 로고
    • Boundary and corner layer behavior in singular perturbed semilinear systems of boundary value problems
    • O'Donnell M.A. Boundary and corner layer behavior in singular perturbed semilinear systems of boundary value problems. SIAM J. Math. Anal. 15 (1982) 317-332
    • (1982) SIAM J. Math. Anal. , vol.15 , pp. 317-332
    • O'Donnell, M.A.1
  • 12
    • 0038382961 scopus 로고    scopus 로고
    • The method of lower and upper solutions for systems of boundary value problems
    • Yang X. The method of lower and upper solutions for systems of boundary value problems. Appl. Math. Comput. 144 (2003) 169-172
    • (2003) Appl. Math. Comput. , vol.144 , pp. 169-172
    • Yang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.