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Existence and structure of complete formal solutions of non-linear meromorphic systems of ordinary differential equations

Asymptotic Analysis, 1997
For general non-linear n-dimensional homogeneous systems of meromorphic ODE, we show existence of a complete formal solution, formally depending upon n free parameters. We investigate the structure of such formal solutions and, in particular, obtain a factorization, analogous to results of J.-P. Ramis and (independently) the author for linear systems.
openaire   +2 more sources

Structural identification with physics-informed neural ordinary differential equations

Journal of Sound and Vibration, 2021
Zhilu Lai   +2 more
exaly  

Application of MGA and EGA algorithms on large-scale linear systems of ordinary differential equations

Journal of Computational Science, 2022
Lakhlifa Sadek, Hamad Talibi Alaoui
openaire   +1 more source

Ulam’s type stability of impulsive ordinary differential equations

Journal of Mathematical Analysis and Applications, 2012
JinRong Wang, Yong Zhou
exaly  

Approximate Solutions to Ordinary Differential Equations Using Least Squares Support Vector Machines

IEEE Transactions on Neural Networks and Learning Systems, 2012
Siamak Mehrkanoon, Johan A K Suykens
exaly  

Artificial neural networks for solving ordinary and partial differential equations

IEEE Transactions on Neural Networks, 1998
Di Fotiadis
exaly  

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