An existence theorem for periodic boundary value problems for systems of second order diffferential equations

Jerrold W. Bebernes; Klaus Schmitt

Archivum Mathematicum (1972)

  • Volume: 008, Issue: 4, page 173-176
  • ISSN: 0044-8753

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Bebernes, Jerrold W., and Schmitt, Klaus. "An existence theorem for periodic boundary value problems for systems of second order diffferential equations." Archivum Mathematicum 008.4 (1972): 173-176. <http://eudml.org/doc/15931>.

@article{Bebernes1972,
author = {Bebernes, Jerrold W., Schmitt, Klaus},
journal = {Archivum Mathematicum},
language = {eng},
number = {4},
pages = {173-176},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An existence theorem for periodic boundary value problems for systems of second order diffferential equations},
url = {http://eudml.org/doc/15931},
volume = {008},
year = {1972},
}

TY - JOUR
AU - Bebernes, Jerrold W.
AU - Schmitt, Klaus
TI - An existence theorem for periodic boundary value problems for systems of second order diffferential equations
JO - Archivum Mathematicum
PY - 1972
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 008
IS - 4
SP - 173
EP - 176
LA - eng
UR - http://eudml.org/doc/15931
ER -

References

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  1. Bebernes J., Schmitt K., Periodic boundary value problems for systems of second order differential equations, J. Differential Equations, 13 (1973), 32-47. (1973) Zbl0284.34016MR0340700
  2. Hartman P., On boundary value problems for systems of ordinary nonlinear second order differential equations, Trans. Amer. Math. Soc. 96 (I960), 493-509. Zbl0098.06101MR0124553
  3. Knobloch H., Eine neue Methode zur Approximation periodischer Lösungen nichtlinearer Differential-gleichungen zweiter Ordunung, Math. Z. 82 (1963), 177-197. (1963) MR0158124
  4. Knobloch H., On the existence of periodic solutions of second order vector differential equations, J. Differential Equations 9 (1971), 67-85. (1971) MR0277824
  5. Krasnoseľskii M. A., Translation Along Trajectories of Differential Equations, Transl. of Russian Monograph Ser. Vol. 19, Amer. Math. Soc., Providence, Rhode Island, 1968. (19,) MR0223640
  6. Mawhin J., Existence of periodic solutions for higher order differential systems that are not of class D, J. Differential Equations 8 (1970), 523-530. (1970) Zbl0224.34034MR0271471
  7. Schmitt K., Periodic solutions of nonlinear second order differential equations, Math. Z. 98 (1967), 200-207. (1967) Zbl0153.12501MR0213653
  8. Schmitt K., Periodic solutions of systems of second order differential equations, J. Differential Equations 11 (1972), 180-192. (1972) Zbl0228.34023MR0294790
  9. Schwartz J., Nonlinear Functional Analysis, Gordon and Breach, New York, 1969. (1969) Zbl0203.14501MR0433481

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