Operator Newton polynomials and well-solvable problems for generalized Euler equation
- Authors: Kostin V.A.1, Kostin D.V.1, Kostin A.V.1
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Affiliations:
- Voronezh State University
- Issue: Vol 94, No 2 (2016)
- Pages: 514-516
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224225
- DOI: https://doi.org/10.1134/S1064562416050094
- ID: 224225
Cite item
Abstract
The study of well-solvable operator equations in a Banach space, which was initiated by the authors in [4, 5], is continued. Namely, it is proved by means of Maslov’s operator method that a polynomial equation with abstract Newton polynomials is well solvable in the sense of Hadamard. The obtained results are applied to prove that a large class of problems for differential equations with variable coefficient having a singularity (such equations are called generalized Euler equations in the paper) are well solvable.
About the authors
V. A. Kostin
Voronezh State University
Email: leshakostin@mail.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394006
D. V. Kostin
Voronezh State University
Author for correspondence.
Email: leshakostin@mail.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394006
A. V. Kostin
Voronezh State University
Email: leshakostin@mail.ru
Russian Federation, Universitetskaya pl. 1, Voronezh, 394006