# Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems

Awar Simon Ukpera; Olufemi Adeyinka Adesina

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2012)

- Volume: 51, Issue: 2, page 129-140
- ISSN: 0231-9721

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topUkpera, Awar Simon, and Adesina, Olufemi Adeyinka. "Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 51.2 (2012): 129-140. <http://eudml.org/doc/246657>.

@article{Ukpera2012,

abstract = {This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.},

author = {Ukpera, Awar Simon, Adesina, Olufemi Adeyinka},

journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},

keywords = {non-resonant oscillations; fourth order differential systems; Leray–Schauder continuation techniques; non-resonant oscillations; fourth-order differential systems; Leray-Schauder continuation techniques},

language = {eng},

number = {2},

pages = {129-140},

publisher = {Palacký University Olomouc},

title = {Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems},

url = {http://eudml.org/doc/246657},

volume = {51},

year = {2012},

}

TY - JOUR

AU - Ukpera, Awar Simon

AU - Adesina, Olufemi Adeyinka

TI - Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems

JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

PY - 2012

PB - Palacký University Olomouc

VL - 51

IS - 2

SP - 129

EP - 140

AB - This paper presents vector versions of some existence results recently published for certain fourth order differential systems based on generalisations drawn from possibilities arising from the underlying auxiliary equation. The results obtained also extend some known works involving third order differential systems to the corresponding fourth order.

LA - eng

KW - non-resonant oscillations; fourth order differential systems; Leray–Schauder continuation techniques; non-resonant oscillations; fourth-order differential systems; Leray-Schauder continuation techniques

UR - http://eudml.org/doc/246657

ER -

## References

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