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Communications on Pure and Applied Analysis
Volumn 5, Issue 2, 2006, Pages 321-336
Analysis of singular boundary value problems for an Emden-Fowler equation
Author keywords

Convergent Lyapunov series; One parameter families of solutions; Shooting methods; Singular boundary value problems
Indexed keywords

EID: 33646354661     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2006.5.321     Document Type: Article
Times cited : (4)
References (9)
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    • 33646343695 scopus 로고    scopus 로고
    • Singular problems for Emden-Fowler type second-order nonlinear ordinary differential equations
    • A.L. Dyshko, M.P. Carpentier, N.B. Konyukhova and P.M. Lima, Singular problems for Emden-Fowler type second-order nonlinear ordinary differential equations, Comput. Math. Math. Phys., 41 (2001), 557-580.
    • (2001) Comput. Math. Math. Phys. , vol.41 , pp. 557-580
    • Dyshko, A.L.1    Carpentier, M.P.2    Konyukhova, N.B.3    Lima, P.M.4
  • 2
    • 33646356687 scopus 로고    scopus 로고
    • Asymptotic and numerical approximation of a nonlinear singular boundary value problem
    • N.B. Konyukhova, P.M. Lima and and M.P. Carpentier, Asymptotic and numerical approximation of a nonlinear singular boundary value problem, Tema Tend. Mat. Apl. Comput., 3 (2002), 141-150.
    • (2002) Tema Tend. Mat. Apl. Comput. , vol.3 , pp. 141-150
    • Konyukhova, N.B.1    Lima, P.M.2    Carpentier, M.P.3
  • 3
    • 33646361540 scopus 로고    scopus 로고
    • Numerical solution of nonlinear singular boundary-value problems using variable substitutions
    • R.Ciegis, A.Samarskii and M.Sapagovas, IMI, Vilnius
    • P. Lima and A. Oliveira, Numerical solution of nonlinear singular boundary-value problems using variable substitutions, Finite Difference Methods: theory and Applications, R.Ciegis, A.Samarskii and M.Sapagovas, 2000, IMI, Vilnius, 153-162.
    • (2000) Finite Difference Methods: Theory and Applications , pp. 153-162
    • Lima, P.1    Oliveira, A.2
  • 4
    • 0038219596 scopus 로고    scopus 로고
    • Numerical solution of a singular boundary value problem for a generalized Emden-Fowler equation
    • P.M. Lima and A.M. Oliveira, Numerical solution of a singular boundary value problem for a generalized Emden-Fowler equation, Appl. Numer. Math., 45 (2003), 389-409.
    • (2003) Appl. Numer. Math. , vol.45 , pp. 389-409
    • Lima, P.M.1    Oliveira, A.M.2
  • 5
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    • Problème general de la stabilité du mouvement
    • A.M. Lyapunov, "Problème General de la Stabilité du Mouvement", Ann. Fac. Sci. Univ. Toulouse, 2 (9) 1907, 203-474
    • (1907) Ann. Fac. Sci. Univ. Toulouse , vol.2 , Issue.9 , pp. 203-474
    • Lyapunov, A.M.1
  • 6
    • 0007105660 scopus 로고
    • Princeton University, Princeton, N.J.
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    • (1947) Ann. of Math. Studies , vol.17
  • 7
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    • A nonlinear singular boundary value problem
    • S. Taliaferro, A nonlinear singular boundary value problem, Nonlinear Analysis, 3 (1979), 897-904.
    • (1979) Nonlinear Analysis , vol.3 , pp. 897-904
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  • 8
    • 0040133178 scopus 로고
    • A comparison theorem for second order ODE's and applications to singular problems
    • A. Tineo, A comparison theorem for second order ODE's and applications to singular problems, J. Differential Equations, 116 (1995), 16-30.
    • (1995) J. Differential Equations , vol.116 , pp. 16-30
    • Tineo, A.1

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