On a third-order three-point regular boundary value problem

Martin Šenkyřík

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (1991)

  • Volume: 30, Issue: 1, page 75-86
  • ISSN: 0231-9721

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Šenkyřík, Martin. "On a third-order three-point regular boundary value problem." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 30.1 (1991): 75-86. <http://eudml.org/doc/23547>.

@article{Šenkyřík1991,
author = {Šenkyřík, Martin},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {third-order three-point regular boundary value problem; Mawhin's continuation theorem; a priori bounds; existence; uniqueness; topological degree methods},
language = {eng},
number = {1},
pages = {75-86},
publisher = {Palacký University Olomouc},
title = {On a third-order three-point regular boundary value problem},
url = {http://eudml.org/doc/23547},
volume = {30},
year = {1991},
}

TY - JOUR
AU - Šenkyřík, Martin
TI - On a third-order three-point regular boundary value problem
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 1991
PB - Palacký University Olomouc
VL - 30
IS - 1
SP - 75
EP - 86
LA - eng
KW - third-order three-point regular boundary value problem; Mawhin's continuation theorem; a priori bounds; existence; uniqueness; topological degree methods
UR - http://eudml.org/doc/23547
ER -

References

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  1. Agarwal R.P., On boundary value problems y" = f(x,y,y ', y "), Bull. of the Institute of Math. Sinica, 12 (1984), 153-157. (1984) MR0765109
  2. Barr D., Sherman T., Existence and uniqueness of solutions of three-point boundary value problems, J. Diff. Eqs. 13 (1973), 197-212. (1973) Zbl0261.34014MR0333326
  3. Bebernes J., A sub-function approach to boundary value problems for nonlinear ordinary differential equations, Pacif. J. Math. 13 (1963), 1063-1066. (1963) MR0156018
  4. Carristi G., A three-point boundary value problem for a third order differential equation, Boll. Unione Mat. Ital., C4, 1 (1985), 259-269. (1985) MR0805218
  5. Das K.M., Lalli B.S., Boundary value problems for y'"= f(x,y,y',y"), J. Math. Anal. Appl., 81 (1981), 300-307. (1981) MR0622819
  6. Gaines R.E., Mawhin J.L., Coincidence Degree and Nonlinear Differential Equations, Berlin-Heidelberg-New York, Springer-Verlag, 1977. (1977) Zbl0339.47031MR0637067
  7. Gupta C.P., On a third-order three-point boundary value problem at resonance, Diff. Int. Equations, Vol 2, 1 (1989) 1-12. (1989) Zbl0722.34014MR0960009
  8. Hardy G.H., Littlewood J.E., Polya G., Inequalities, (Russian trans.), IL, Moscow, 1970. (1970) 
  9. Hartman P., Ordinary Differential Equations, (Russian trans.), Mir, Moscow, 1970. (1970) Zbl0214.09101MR0352574
  10. Hartman P., On n-parameter families and interpolation problems for nonlinear ordinary differential equations, Trans. Amer. Math. Soc. 154 (1971), 201-266. (1971) Zbl0222.34017MR0301277
  11. Henderson J., Jacson L., Existence and uniquenes of solutions of k-point boundary value problems for ordinary differential equations, J.Diff.Eqs. 48 (1970), 373-385. (1970) 
  12. Kiguradze I.T., On a singular problem of Cauchy-Nicoletti, Ann. Mat. Pura Appl. 104 (1975), 151-175. (1975) Zbl0307.34003MR0402157
  13. Kiguradze I.T., Some Singular Boundary Value Problems for Ordinary Differential Equations, (Russian), Univ. Press Tbilisi, 1975. (1975) MR0499402
  14. Kiguradze I.T., Boundary problems for systems of ordinary differential equations, (Russian), Itogi nauki i tech., Sovr.pr.mat., 30, Moscow, 1987. (1987) 
  15. Klaasen G., Existence theorems for boundary value problems for n-th order ordinary differential equations, Rocky Mtn. J. Math. 3 (1973), 457-472. (1973) MR0357944
  16. Lepina E., Lepin A., Necessary and sufficient conditions for existence of a solution of a three-point BVP for a nonlinear third order differential equation, (Russian), Latv. Mat. Ežeg. 8 (1970), 149-154. (1970) 
  17. Rachůnková I., On some three-point problems for third-order differential equations, (preprint). Zbl0759.34020MR1154059
  18. Vasiljev N.I., Klokov J.A., Elements of the Theory of Boundary Value Problems for Ordinary Differential Equations, (Russian), Zinatne, Riga, 1978. (1978) 

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