Recent Trends in Formal and Analytic Solutions of Diff. Equations
Published on 4. August 2023
Book
Paperback/Softback
228 pages
978-1-4704-6604-6 (ISBN)
Description
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 Alcala, Alcala 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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
148 gr
ISBN-13
978-1-4704-6604-6 (9781470466046)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Galina Filipuk, University of Warsaw, Poland.
Alberto Lastra, Universidad de Alcala, Madrid, Spain.
Slawomir Michalik, Cardinal Stefan Wyszynsk University, Warszawa, Poland.
Alberto Lastra, Universidad de Alcala, Madrid, Spain.
Slawomir Michalik, Cardinal Stefan Wyszynsk University, Warszawa, Poland.
Content
A. D. Bruno, Normal forms of a polynomial ODE
A. B. Batkhin, Computation of homological equations for Hamiltonian normal form
E. Ciechanowicz, A note on value distribution of solutions of certain second order ODEs
G. Filipuk, A. Ligeza, and A. Stokes, Relations between different Hamiltonian forms of the third Painleve equation
T. Aoki and S. Uchida, Degeneration structures of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
T. Oshima, Riemann-Liouville transform and linear differential equations on the Riemann sphere
M. Cafasso and S. Tarricone, The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
Y. Chen, G. Filipuk, and M. N. R. Rebocho, A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
S. Sasaki, S. Takagi, and K. Takemura, $q$-Heun equation and initial-value space of $q$-Painleve equation
H. Ogawara, Differential transcendence of solutions for $q$-difference equation of Ramanujan function
C. Zhang, On the positive powers of $q$-analogs of Euler series
M. Suwinska, Summability of formal solutions for a family of linear moment integro-differential equations
H. Tahara, Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
M. Yoshino, Solution with movable singular points of some Hamiltonian system
A. Lastra, S. Michalik, and M. Suwinska, Some notes on moment partial differential equations. Application to fractional functional equations.
A. B. Batkhin, Computation of homological equations for Hamiltonian normal form
E. Ciechanowicz, A note on value distribution of solutions of certain second order ODEs
G. Filipuk, A. Ligeza, and A. Stokes, Relations between different Hamiltonian forms of the third Painleve equation
T. Aoki and S. Uchida, Degeneration structures of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter
T. Oshima, Riemann-Liouville transform and linear differential equations on the Riemann sphere
M. Cafasso and S. Tarricone, The Riemann-Hilbert approach to the generating function of the higher order Airy point processes
Y. Chen, G. Filipuk, and M. N. R. Rebocho, A system of nonlinear difference equations for recurrence relation coefficients of a modified Jacobi weight
S. Sasaki, S. Takagi, and K. Takemura, $q$-Heun equation and initial-value space of $q$-Painleve equation
H. Ogawara, Differential transcendence of solutions for $q$-difference equation of Ramanujan function
C. Zhang, On the positive powers of $q$-analogs of Euler series
M. Suwinska, Summability of formal solutions for a family of linear moment integro-differential equations
H. Tahara, Uniqueness of the solution of some nonlinear singular partial differential equations of the second order
M. Yoshino, Solution with movable singular points of some Hamiltonian system
A. Lastra, S. Michalik, and M. Suwinska, Some notes on moment partial differential equations. Application to fractional functional equations.