# 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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topBebernes, 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

top- 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
- 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
- Knobloch H., Eine neue Methode zur Approximation periodischer Lösungen nichtlinearer Differential-gleichungen zweiter Ordunung, Math. Z. 82 (1963), 177-197. (1963) MR0158124
- Knobloch H., On the existence of periodic solutions of second order vector differential equations, J. Differential Equations 9 (1971), 67-85. (1971) MR0277824
- 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
- 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
- Schmitt K., Periodic solutions of nonlinear second order differential equations, Math. Z. 98 (1967), 200-207. (1967) Zbl0153.12501MR0213653
- Schmitt K., Periodic solutions of systems of second order differential equations, J. Differential Equations 11 (1972), 180-192. (1972) Zbl0228.34023MR0294790
- Schwartz J., Nonlinear Functional Analysis, Gordon and Breach, New York, 1969. (1969) Zbl0203.14501MR0433481

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