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.
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.
Galina Filipuk, University of Warsaw, Poland.
Alberto Lastra, Universidad de Alcala, Madrid, Spain.
Slawomir Michalik, Cardinal Stefan Wyszynsk University, Warszawa, Poland.
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