CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

Aziza-Souã‚d Nouar (), Med-Salem Rezaoui (), Rafik Guefaifia (), Mohamed Abdalla and Hala Abd-Elmageed
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Aziza-Souã‚d Nouar: Faculty of Mathematics, Laboratory of Algebra and Number Theory (ATN), University of Algiers (USTHB), B.P32 El-Alia, Bab-Ezzouar 16111, Algeria
Med-Salem Rezaoui: Faculty of Mathematics, Laboratory of Algebra and Number Theory (ATN), University of Algiers (USTHB), B.P32 El-Alia, Bab-Ezzouar 16111, Algeria
Rafik Guefaifia: Department of Mathematics, College of Science, Qassim University, 51452, Buraydah, Saudi Arabia
Mohamed Abdalla: Mathematics Department, Faculty of Science, King Khalid University, Abha, Saudi Arabia
Hala Abd-Elmageed: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia5Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-13

Abstract: Our goal in this study is to obtain analyticity in the 𠒞∞ 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.

Keywords: Differential Operator; Nonlinear Equations; Formal Solutions; Convergent Solutions; Pfaffian System (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401681

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