Periodic solutions of certain third order differential systems with nonlinear dissipation

Awar Simon Ukpera

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2002)

  • Volume: 41, Issue: 1, page 147-159
  • ISSN: 0231-9721

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Ukpera, Awar Simon. "Periodic solutions of certain third order differential systems with nonlinear dissipation." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 41.1 (2002): 147-159. <http://eudml.org/doc/23726>.

@article{Ukpera2002,
author = {Ukpera, Awar Simon},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {nonlinear dissipation; sharp and nonuniform nonresonance; Leray-Schauder alternative/continuation method; Mawhin's coincidence degree},
language = {eng},
number = {1},
pages = {147-159},
publisher = {Palacký University Olomouc},
title = {Periodic solutions of certain third order differential systems with nonlinear dissipation},
url = {http://eudml.org/doc/23726},
volume = {41},
year = {2002},
}

TY - JOUR
AU - Ukpera, Awar Simon
TI - Periodic solutions of certain third order differential systems with nonlinear dissipation
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2002
PB - Palacký University Olomouc
VL - 41
IS - 1
SP - 147
EP - 159
LA - eng
KW - nonlinear dissipation; sharp and nonuniform nonresonance; Leray-Schauder alternative/continuation method; Mawhin's coincidence degree
UR - http://eudml.org/doc/23726
ER -

References

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  2. Afuwape A. U., Omari P., Zanolin F., Nonlineаr perturbаtions of differentiаl operаtors with nontriviаl kernel аnd аpplicаtions to third-order periodic boundаry vаlue problems, J. Math. Anal. Appl. 143, 1 (1989), 35-56. (1989) MR1019448
  3. Afuwape A. U., Ukpera A. S., Existence of solutions of periodic boundаry vаlue problems for some vector third order differentiаl equаtions, J. Nigerian Math. Soc. 20 (2001), 1-17. MR2055195
  4. Andres J., Recent results on third order nonlineаr ODEs, J. Nigerian Math. Soc. 14/15 (1995/96), 41-66. (1995) MR1775013
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  7. Ezeilo J. O. C., Nkashama M. N., Resonаnt аnd nonresonаnt oscillаtions for third-order nonlineаr ordinаry differentiаl equаtions, Nonlinear Analysis, T.M.A. 12, 10 (1988), 1029-1046. (1988) MR0962767
  8. Ezeilo J. O. C., Omari P., Nonresonаnt oscillаtions for some third-order Differentiаl equаtions II, J. Nigerian Math. Soc. 8 (1989), 25-48. (1989) 
  9. Ezeilo J. O. C., Onyia J., Nonresonаnt oscillаtions for some third-order differentiаl equаtions I, J. Nigerian Math. Soc. 3 (1984), 83-96. (1984) MR0852884
  10. Mawhin J., Topologicаl Degree Methods in Nonlineаr Boundаry Vаlue Problems, In: CBMS Regional Conference Series in Mathematics 40, American Math. Soc, Providence, R.I., 1979. (1979) MR0525202
  11. Minhós F., Periodic solutions for а third order differentiаl equаtion under conditions on the potentiаl, Portugaliae Math. 55, 4 (1998), 475-484. (1998) 
  12. Omari P., Zanolin F., Existence results for forced nonlineаr periodic BVPs аt resonаnce, Ann. Mat. Pura Appl. 141, 4 (1985), 127-158. (1985) MR0816782
  13. Rachůnková I., Periodic boundаry vаlue problems for third-order differentiаl equаtions, Math. Slovaca 41, 3 (1991), 241-248. (1991) 
  14. Tejumola H. O., Afuwape A. U., Periodic solutions of certаin third-order nonlineаr differentiаl systems with delаy, I.C.T.P. Trieste, Preprint IC/90/418, (1990). (1990) MR1775016

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