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Titel
Recent trends in formal and analytic solutions of diff. equations : Virtual conference on formal and analytic solutions of Diff. Equations, June 28-July 2, 2021, University of Alcalá, Alcalá de Henares, Spain / Galina Filipuk, Alberto Lastra, Sławomir Michalik (editors)
HerausgeberFilipuk, Galina ; Lastra, Alberto ; Michalik, Sławomir
Name der KonferenzFASnet 2021 Online
ErschienenProvidence, Rhode Island : American Mathematical Society, [2023]
Umfangviii, 228 Seiten : Illustrationen
Serie
Contemporary mathematics ; 782
SchlagwörterDifferential equations / Congresses / Difference equations / Congresses / Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Distribution of values, Nevanlinna theory / Ordinary differential equations -- General theory -- Geometric methods in differential equations / Ordinary differential equations -- Qualitative theory -- Transformation and reduction of equations and systems, normal forms / Ordinary differential equations -- Asymptotic theory -- Asymptotic expansions / Ordinary differential equations -- Differential equations in the complex domain -- Stokes phenomena and connection problems (linear and nonlinear) / Partial differential equations -- General topics -- Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness / Partial differential equations -- Representations of solutions -- Series solutions / Partial differential equations -- General higher-order equations and systems -- Initial value problems for linear higher-order equations / Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Perturbations, normal forms, small divisors, KAM theory, Arnold diffusion / Difference and functional equations -- Difference equations -- Difference equations, scaling ($q$-differences)
ISBN9781470466046
Inhalt
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.
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