dc.contributor.author | Osińska-Ulrych, Beata | |
dc.contributor.author | Skalski, Grzegorz | |
dc.contributor.editor | Krasiński, Tadeusz | |
dc.contributor.editor | Spodzieja, Stanisław | |
dc.date.accessioned | 2017-12-28T09:50:12Z | |
dc.date.available | 2017-12-28T09:50:12Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Osińska-Ulrych B., Skalski G., The Cauchy-Kowalevski Theorem, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017, p. 145-159, doi: 10.18778/8088-922-4.17 | pl_PL |
dc.identifier.isbn | 978-83-8088-922-4 | |
dc.identifier.uri | http://hdl.handle.net/11089/23783 | |
dc.description.abstract | We give a recursive description of polynomials with non-negative
rational coefficients, which are coefficients of expansion in a power series solutions
of partial differential equations in Cauchy-Kowalevski theorem. | pl_PL |
dc.language.iso | en | pl_PL |
dc.publisher | Łódź University Press | pl_PL |
dc.relation.ispartof | Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017; | |
dc.rights | Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/pl/ | * |
dc.title | The Cauchy-Kowalevski Theorem | pl_PL |
dc.type | Book chapter | pl_PL |
dc.rights.holder | © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017 | pl_PL |
dc.page.number | 145-159 | pl_PL |
dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland | pl_PL |
dc.identifier.eisbn | 978-83-8088-923-1 | |
dc.references | R.P. Brent and H.T. Kung, Fast algorithms for manipulating formal power series, J. Assoc. Comput. Mach. 25 (1978), no. 4, 581–595 | pl_PL |
dc.references | L.C. Evans, Partial differential equations, AMS Press, 2010. | pl_PL |
dc.references | G.B. Folland, Introduction to partial differential equations, Princeton University Press, N. J., 1975. | pl_PL |
dc.references | K.O. Geddes, Convergence behaviour of the Newton iteration for first-order differential equations. Symbolic and algebraic computation, pp. 189–199, Lecture Notes in Comput. Sci., 72, Springer, Berlin-New York, 1979. | pl_PL |
dc.references | F. John, Parial Differential Equations (4th ed.), Springer-Verlag, New York, 1982. | pl_PL |
dc.references | L. Hörmander, Linear Parial Differential Operators, Springer-Verlag, Berlin, 1963. | pl_PL |
dc.references | L. Hörmander, The Analysis of Linear Partial Differential Operators (4 vols.), Springer-Verlag, Berlin, 1983-85. | pl_PL |
dc.references | E. Hubert and N. Le Roux, Computing power series solutions of a nonlinear PDE system, Proceedings of the International Symposium on Symbolic and Algebraic Computation, J.R. Sendra, ed., ACM Press, New York, 2003, pp. 148–155. | pl_PL |
dc.references | S. von Kowalevsky, Zur Theorie der partiellen Differentialgleichung, J. Reine Angew. Math. 80 (1875), 1–32, http://gdz.sub.uni-goettingen.de/dms/load/img/?PID=GDZPPN002156059 (accessed March 15, 2017). | pl_PL |
dc.references | H. Marcinkowska, Wstep do teorii równań różniczkowych cząstkowych, PWN, 1972. | pl_PL |
dc.references | H. Marcinkowska, Wstęp do teorii równań różniczkowych cząstkowych, PWN, 1972. | pl_PL |
dc.references | C. Riquier, Les systèmes d’équations aux dérivées partielles, Gauthier-Villars, Paris, 1910. | pl_PL |
dc.references | J.F. Ritt, Differential Algebra. American Mathematical Society Colloquium Publications, Vol. XXXIII, American Mathematical Society, New York, N. Y., 1950. viii+184 pp. | pl_PL |
dc.references | C.J. Rust, G.J. Reid and A.D. Wittkopf, Existence and uniqueness theorems for formal power series solutions of analytic differential systems, Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation (Vancouver, BC), 105–112 (electronic), ACM, New York, 1999. | pl_PL |
dc.references | F. Treves, Basic Linear Partial Differential Equations, Academic Press, New York, 1975. | pl_PL |
dc.contributor.authorEmail | bosinska@math.uni.lodz.pl | pl_PL |
dc.contributor.authorEmail | skalskg@math.uni.lodz.pl | pl_PL |
dc.identifier.doi | 0.18778/8088-922-4.17 | |