Summability of formal solutions for a family of linear moment integro-differential equations-Reference-Cited by-同舟云学术

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

Published:2023 Issue: Volume: Page:167-192
ISSN:0271-4132
Container-title:Recent Trends in Formal and Analytic Solutions of Diff. Equations
language:
Short-container-title:

Author:

Suwińska Maria

Abstract

A general family of linear moment integro-differential equations with coefficients depending only on one variable is taken into consideration. The results presented in this paper concern the summability of formal solutions of such equations. Usual tools of the summability theory are utilized. The main result is a direct generalization of existing conclusions in regards to standard linear integro-differential equations.

Publisher

American Mathematical Society

Reference18 articles.

1. Universitext;Balser, Werner,2000

2. Summability of solutions of the heat equation with inhomogeneous thermal conductivity in two variables;Balser, Werner;Adv. Dyn. Syst. Appl.,2009

3. Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients;Balser, Werner;Funkcial. Ekvac.,2010

4. Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders;Jiménez-Garrido, Javier;J. Math. Anal. Appl.,2019

5. Estimates of formal solutions for some generalized moment partial differential equations;Lastra, Alberto;J. Math. Anal. Appl.,2021

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some Related Equations;Lecture Notes in Mathematics;2024

2. Linear Moment Partial Differential Equations;Lecture Notes in Mathematics;2024