CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

Our goal in this study is to obtain analyticity in the [Formula: see text] case of formal solutions of specific unique linear Pfaffian systems and determine that, under certain conditions, these are polynomials. We also intend to investigate the existence of formal solutions to such Pfaffian systems and their analyticity under certain conditions near an irregular singularity.

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Publication Details

Journal
Fractals
Published
2025-01-01
DOI
https://doi.org/10.1142/s0218348x25401681
Citations
2
Primary Topic
Differential Equations and Numerical Methods
Type
article
Field-Weighted Citation Impact
5.26
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article

CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

Med-Salem Rezaoui, Hala Abd-Elmageed, Rafik Guefaifia, Mohamed Abdalla et al.
2 citations
Fractals
Differential Equations and Numerical Methods
5.26
article

CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

Med-Salem Rezaoui, Hala Abd-Elmageed, Rafik Guefaifia, Mohamed Abdalla, Aziza-Souad Nouar
article en
2 citations

Abstract

Our goal in this study is to obtain analyticity in the [Formula: see text] case of formal solutions of specific unique linear Pfaffian systems and determine that, under certain conditions, these are polynomials. We also intend to investigate the existence of formal solutions to such Pfaffian systems and their analyticity under certain conditions near an irregular singularity.

FractalsVol. 33(08)
Prince Sattam Bin Abdulaziz University (SA), Qassim University (SA), South Valley University (EG), University of Algiers Benyoucef Benkhedda (DZ), King Khalid University (SA)
Openalex Percentile: Top 6%
Differential Equations and Numerical Methods
5.26
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CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS — Med-Salem Rezaoui, Hala Abd-Elmageed, et al. · Fractals (2025) | TGRS Research Map | TGRS