# Poincaré theorem and nonlinear PDE's

Annales Polonici Mathematici (1998)

- Volume: 69, Issue: 2, page 99-105
- ISSN: 0066-2216

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topMaria E. Pliś. "Poincaré theorem and nonlinear PDE's." Annales Polonici Mathematici 69.2 (1998): 99-105. <http://eudml.org/doc/270474>.

@article{MariaE1998,

abstract = {A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.},

author = {Maria E. Pliś},

journal = {Annales Polonici Mathematici},

keywords = {Laplace distributions; Laplace transforms; formal solutions},

language = {eng},

number = {2},

pages = {99-105},

title = {Poincaré theorem and nonlinear PDE's},

url = {http://eudml.org/doc/270474},

volume = {69},

year = {1998},

}

TY - JOUR

AU - Maria E. Pliś

TI - Poincaré theorem and nonlinear PDE's

JO - Annales Polonici Mathematici

PY - 1998

VL - 69

IS - 2

SP - 99

EP - 105

AB - A family of formal solutions of some type of nonlinear partial differential equations is found. Terms of such solutions are Laplace transforms of some Laplace distributions. The series of these distributions are locally finite.

LA - eng

KW - Laplace distributions; Laplace transforms; formal solutions

UR - http://eudml.org/doc/270474

ER -

## References

top- [1] V. I. Arnold, Additional Topics in the Theory of Ordinary Differential Equations, Nauka, Moscow, 1978 (in Russian).
- [2] A. Bobylev, Poincaré theorem, Boltzmann equation and KdV-type equations, Dokl. Akad. Nauk SSSR 256 (1981), 1341-1346 (in Russian).
- [3] R. R. Rosales, Exact solutions of some nonlinear evolution equations, Stud. Appl. Math. 59 (1978), 117-151. Zbl0387.35061
- [4] Z. Szmydt and B. Ziemian, Laplace distributions and hyperfunctions on ℝ̅ⁿ₊, J. Math. Sci. Tokyo 5 (1998), 41-74.
- [5] B. Ziemian, Generalized analytic functions with applications to singular ordinary and partial differential equations, Dissertationes Math. 354 (1996).