eBook

Recent trends in formal and analytic solutions of diff. equations : Virtual Conference Formal and Analytic Solutions of Diff. Equations, June 28-July 2, 2021, University of Alcalá, Alcalá de Henares, Spain

Virtual Conference Formal and Analytic Solutions of Diff. Equations, Filipuk, Galina, Lastra, Alberto, Michalik, Sławomir

2023

Overview

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.

• Publisher: American Mathematical Society
• Subject: Difference and functional equations -- Difference equations -- Difference equations, scaling ($q$-differences) msc / Difference equations / Difference equations -- Congresses / Differential equations / Differential equations -- Congresses / Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Perturbations, normal forms, small divisors, KAM theory, Arnold diffusion msc / Functions of a complex variable -- Entire and meromorphic functions, and related topics -- Distribution of values, Nevanlinna theory msc / Ordinary differential equations -- Asymptotic theory -- Asymptotic expansions msc / Ordinary differential equations -- Differential equations in the complex domain -- Stokes phenomena and connection problems (linear and nonlinear) msc / Ordinary differential equations -- General theory -- Geometric methods in differential equations msc / Ordinary differential equations -- Qualitative theory -- Transformation and reduction of equations and systems, normal forms msc / Partial differential equations -- General higher-order equations and systems -- Initial value problems for linear higher-order equations msc / Partial differential equations -- General topics -- Uniqueness problems: global uniqueness, local uniqueness, non-uniqueness msc / Partial differential equations -- Representations of solutions -- Series solutions msc
• ISBN: 9781470466046, 147046604X