Recent Trends in Formal and Analytic Solutions of Diff. Equations / edited by Galina Filipuk, Alberto Lastra, and Slawomir Michalik.

Format:

Book

Conference/Event

Contributor:

Filipuk, Galina, editor.

Lastra Sedano, Alberto, editor.

Michalik, Sławomir, editor.

Conference Name:

Virtual Conference on Formal and Analytic Solutions of Diff. Equations (2021 : Alcalá de Henares, Spain), author.

Series:

Contemporary mathematics (American Mathematical Society) ; Volume 782.

Contemporary Mathematics Series ; Volume 782

Language:

English

Subjects (All):

Differential equations--Congresses.

Differential equations.

Difference equations--Congresses.

Difference equations.

Physical Description:

1 online resource (240 pages)

Edition:

First edition.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

Summary:

This volume contains the proceedings of the conference on Formal and Analytic Solutions of Diff. Equations, held from June 28-July 2, 2021, and hosted by University of Alcalá, Alcalá de Henares, Spain.The manuscripts cover recent advances in the study of formal and analytic solutions of different kinds of equations such as ordinary differential equations, difference equations, q-difference equations, partial differential equations, moment differential equations, etc. Also discussed are related topics such as summability of formal solutions and the asymptotic study of their solutions.The volume is intended not only for researchers in this field of knowledge but also for students who aim to acquire new techniques and learn recent results.

Contents:

Normal forms of a polynomial ODE / Alexander D. Bruno

Computation of holomorphical equations for Hamiltonian normal form / Alexander B. Batkhin

A note on value distribution of solutions of certain second order ODEs / Ewa Ciechanowicz

Relations between different Hamiltonian forms of the third Painleve equation / Galina Filipuk, Adam Ligeza, and Alexander Stokes

Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter / Takashi Aoki and Shofu Uchida

Riemann-Liouville transform and linear differential equations on the Riemann sphere / Toshio Oshima

The Riemann-Hilbert approach to the generating function of the higher order Airy point processes / Mattia Cafasso and Sofia Tarricone

A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight / Yang Chen, Galina Filipuk, and Maria das Neves Rebocho

q-Heun equation and initial-value space of q-Painlevé equation / Shoko Sasaki, Shun Takagi, and Kouichi Takemura

Differential transcendence of solutions for q-difference equation of Ramanujan function / Hiroshi Ogawara

On the positive powers of q-analogs of Euler series / Changgui Zhang

Summability of formal solutions for a family of linear moment integro-differential equations / Maria Suwinska

Uniqueness of the solution of some nonlinear singular partial differential equations of the second order / Hidetoshi Tahara

Solution with movable singular points of some Hamiltonian system / Masafumi Yoshino

Some notes on moment partial differential equations. Application to fractional functional equations / Alberto Lastra, S lawomir Michalik, and Maria Suwinska.

Notes:

Description based on print version record.

Includes bibliographical references.

Other Format:

Print version: Filipuk, Galina Recent Trends in Formal and Analytic Solutions of Diff. Equations

ISBN:

1-4704-7209-0