On singular perturbation of nonlinear two-point boundary value problems

John V. Baxley

Czechoslovak Mathematical Journal (1977)

  • Volume: 27, Issue: 3, page 363-377
  • ISSN: 0011-4642

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Baxley, John V.. "On singular perturbation of nonlinear two-point boundary value problems." Czechoslovak Mathematical Journal 27.3 (1977): 363-377. <http://eudml.org/doc/13008>.

@article{Baxley1977,
author = {Baxley, John V.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {3},
pages = {363-377},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On singular perturbation of nonlinear two-point boundary value problems},
url = {http://eudml.org/doc/13008},
volume = {27},
year = {1977},
}

TY - JOUR
AU - Baxley, John V.
TI - On singular perturbation of nonlinear two-point boundary value problems
JO - Czechoslovak Mathematical Journal
PY - 1977
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 3
SP - 363
EP - 377
LA - eng
UR - http://eudml.org/doc/13008
ER -

References

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  1. E. A. Coddington, N. Levinson, 10.1090/S0002-9939-1952-0046517-3, Proc. Amer. Math. Soc. 3 (1952), pp. 73-81. (1952) Zbl0046.09503MR0046517DOI10.1090/S0002-9939-1952-0046517-3
  2. J. W. Bebernes, Robert Gaines, 10.1016/0022-0396(68)90022-3, J. Differential Equations 4 (1968), pp. 359-368. (1968) MR0228738DOI10.1016/0022-0396(68)90022-3
  3. J. W. Bebernes, Robert Gaines, 10.1090/S0002-9939-1968-0226098-3, Proc. Amer. Math. Soc. 19 (1968), pp. 749-754. (1968) MR0226098DOI10.1090/S0002-9939-1968-0226098-3
  4. F. X. Dorr S. V. Parter, L. F. Shempine, 10.1137/1015002, Siam Review 15 (1973), pp. 43 - 88. (1973) MR0320456DOI10.1137/1015002
  5. W. Eckhaus, E. M. DeJager, 10.1007/BF00281135, Arch. Rational Mech. Anal. 23 (1966) pp. 26-86. (1966) MR0206464DOI10.1007/BF00281135
  6. A. Erdelyi, 10.1007/BF00256455, Arch. Rational Mech. Anal. 29 (1968), pp. 1-17. (1968) Zbl0155.13203MR0231002DOI10.1007/BF00256455
  7. A. Erdelyi, 10.1017/S1446788700027440, J. Australian Math. Soc. 2 (1962), pp. 425-439. (1962) Zbl0161.06201MR0145162DOI10.1017/S1446788700027440
  8. A. Erdelyi, The integral equations of asymptotic theory, in Asymptotic Solutions of Differential Equations and Their Applications, Wiley, New York, 1964, pp. 211 - 229. (1964) MR0170061
  9. Gerald Houghton, 10.1002/cjce.5450400503, Can. J. Chem. Engng. 40 (1962), pp. 188-193. (1962) DOI10.1002/cjce.5450400503
  10. H. B. Keller, 10.1090/S0002-9904-1966-11572-0, Bull. Amer. Math. Soc. 72 (1966), pp. 729-731. (1966) Zbl0146.11503MR0192116DOI10.1090/S0002-9904-1966-11572-0
  11. H. O. Kreiss, S. V. Parter, 10.1137/0505025, SIAM J. Math. Anal. 5 (1974), pp. 230-251. (1974) Zbl0302.34074MR0348212DOI10.1137/0505025
  12. R. E. O'Malley, Jr., 10.1016/0001-8708(68)90023-6, Advances in Math. 2 (1968), pp. 365-470. (1968) Zbl0203.40101MR0232056DOI10.1016/0001-8708(68)90023-6
  13. R. E. О'Маllеуу, Jr., 10.1007/BF00256459, Arch. Rational Mech. Anal. 29 (1968), pp. 66- 74. (1968) MR0231003DOI10.1007/BF00256459
  14. R. E. O'Malley, Jr., 10.1093/imamat/6.1.12, J. Inst. Maths. Applies. 6 (1969), pp. 12-20. (1969) DOI10.1093/imamat/6.1.12
  15. S. V. Parter, Singular perturbations of second order differential equations, (unpublished paper). 
  16. S. V. Parter, 10.1137/0503029, SIAM J. Math, Anal. 3 (1972), pp. 295-299. (1972) MR0312006DOI10.1137/0503029
  17. S. V. Parter, 10.1137/0503047, SIAM J. Math. Anal. 3 (1972), pp. 496-505. (1972) Zbl0251.34037MR0318620DOI10.1137/0503047
  18. M. H. Protter, H. F. Weinberger, Maximum Principles in Differential Equations, Prentice-Hall, Englewood Cliffs, N. J., 1967. (1967) MR0219861

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