# An existence and multiplicity result for a periodic boundary value problem

Mathematica Bohemica (2008)

- Volume: 133, Issue: 1, page 41-61
- ISSN: 0862-7959

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topRudolf, Boris. "An existence and multiplicity result for a periodic boundary value problem." Mathematica Bohemica 133.1 (2008): 41-61. <http://eudml.org/doc/250514>.

@article{Rudolf2008,

abstract = {A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.},

author = {Rudolf, Boris},

journal = {Mathematica Bohemica},

keywords = {periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator; periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator},

language = {eng},

number = {1},

pages = {41-61},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {An existence and multiplicity result for a periodic boundary value problem},

url = {http://eudml.org/doc/250514},

volume = {133},

year = {2008},

}

TY - JOUR

AU - Rudolf, Boris

TI - An existence and multiplicity result for a periodic boundary value problem

JO - Mathematica Bohemica

PY - 2008

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 133

IS - 1

SP - 41

EP - 61

AB - A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.

LA - eng

KW - periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator; periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator

UR - http://eudml.org/doc/250514

ER -

## References

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