# Further results for some third order differential systems with nonlinear dissipation

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2004)

- Volume: 43, Issue: 1, page 155-169
- ISSN: 0231-9721

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topUkpera, Awar Simon. "Further results for some third order differential systems with nonlinear dissipation." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 43.1 (2004): 155-169. <http://eudml.org/doc/32361>.

@article{Ukpera2004,

abstract = {We formulate nonuniform nonresonance criteria for certain third order differential systems of the form $X^\{^\{\prime \prime \prime \}\} + AX^\{^\{\prime \prime \}\} + G(t,X^\{^\{\prime \}\} ) + CX = P(t)$, which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.},

author = {Ukpera, Awar Simon},

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

keywords = {nonlinear dissipation; sharp and nonuniform nonresonance; nonlinear dissipation; nonuniform nonresonance},

language = {eng},

number = {1},

pages = {155-169},

publisher = {Palacký University Olomouc},

title = {Further results for some third order differential systems with nonlinear dissipation},

url = {http://eudml.org/doc/32361},

volume = {43},

year = {2004},

}

TY - JOUR

AU - Ukpera, Awar Simon

TI - Further results for some third order differential systems with nonlinear dissipation

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

PY - 2004

PB - Palacký University Olomouc

VL - 43

IS - 1

SP - 155

EP - 169

AB - We formulate nonuniform nonresonance criteria for certain third order differential systems of the form $X^{^{\prime \prime \prime }} + AX^{^{\prime \prime }} + G(t,X^{^{\prime }} ) + CX = P(t)$, which further improves upon our recent results in [12], given under sharp nonresonance considerations. The work also provides extensions and generalisations to the results of Ezeilo and Omari [5], and Minhós [9] from the scalar to the vector situations.

LA - eng

KW - nonlinear dissipation; sharp and nonuniform nonresonance; nonlinear dissipation; nonuniform nonresonance

UR - http://eudml.org/doc/32361

ER -

## References

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- Ukpera A.S., Periodic solutions of certain third order differential systems with nonlinear dissipation, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Math. 41 (2002), 147–159. Zbl1040.34049MR1968227

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