# A certain type of partial differential equations on tori

Mathematica Bohemica (1992)

- Volume: 117, Issue: 4, page 365-372
- ISSN: 0862-7959

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topFečkan, Michal. "A certain type of partial differential equations on tori." Mathematica Bohemica 117.4 (1992): 365-372. <http://eudml.org/doc/29215>.

@article{Fečkan1992,

abstract = {The existence of classical solutions for some partial differential equations on tori is shown.},

author = {Fečkan, Michal},

journal = {Mathematica Bohemica},

keywords = {averaging; singularly perturbed equations on tori; Banach fixed point theorem; averaging; singularly perturbed equations on tori; Banach fixed point theorem},

language = {eng},

number = {4},

pages = {365-372},

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

title = {A certain type of partial differential equations on tori},

url = {http://eudml.org/doc/29215},

volume = {117},

year = {1992},

}

TY - JOUR

AU - Fečkan, Michal

TI - A certain type of partial differential equations on tori

JO - Mathematica Bohemica

PY - 1992

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

VL - 117

IS - 4

SP - 365

EP - 372

AB - The existence of classical solutions for some partial differential equations on tori is shown.

LA - eng

KW - averaging; singularly perturbed equations on tori; Banach fixed point theorem; averaging; singularly perturbed equations on tori; Banach fixed point theorem

UR - http://eudml.org/doc/29215

ER -

## References

top- A. C. Lazer P. J. McKenna, 10.1016/0022-0396(88)90150-7, Journal of Diff. Equa. 72 (1988), 95-106. (1988) MR0929199DOI10.1016/0022-0396(88)90150-7
- T. Kato, Locally coercive nonlinear equations, with applications to some periodic solutions, Duke Math. Journal 51 (1984), 923-936. (1984) Zbl0571.47051MR0771388
- J. Moser, A rapidly convergent iteration method and nonlinear partial differential equations, I, Ann. Scuola Norm. Sup. Pisa 20(1966), 226-315. (1966)
- P. Rabinowitz, A rapid convergence method for a singular perturbation problem, Ann. Inst. H. Poincaré, Ana. Nonlinéaire 1 (1984), 1-17. (1984) Zbl0547.35047MR0738493

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