CERTAIN SOLUTIONS OF SINGULAR LINEAR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Nouar, Aziza-Souad ^{[1
]}

Rezaoui, Med-Salem ^{[1
]}

Guefaifia, Rafik ^{[2
]}

Abdalla, Mohamed ^{[3
]}

Abd-Elmageed, Hala ^{[4
,5
]}

机构：

[1] Univ Algiers USTHB, Fac Math, Lab Algebra & Number Theory ATN, BP32 El Alia, Bab Ezzouar 16111, Algeria

[2] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

[3] King Khalid Univ, Fac Sci, Math Dept, Abha, Saudi Arabia

[4] Al Kharj Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities, Dept Math, Al Kharj 11942, Saudi Arabia

[5] South Valley Univ, Fac Sci, Math Dept, Qena 83523, Egypt

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2025年

关键词：

Differential Operator; Nonlinear Equations; Formal Solutions; Convergent Solutions; Pfaffian System; FORMAL SOLUTIONS;

D O I：

10.1142/S0218348X25401681

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our goal in this study is to obtain analyticity in the C-infinity 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.

引用

页数：13

共 21 条

[1]

Abbas H., 2014, P INT S SYMB ALG COM, P312, DOI [10.1145/2608628.2608656, DOI 10.1145/2608628.2608656]

[2]

Akel M., 2022, FRACTALS, V30

[3]

ARTIN M, 1968, INVENT MATH, V5, P277

[4] Formal solutions of completely integrable Pfaffian systems with normal crossings [J].

Barkatou, Moulay A. ;

Aroschek, Maximilian J. ;

Maddah, Suzy S. .

JOURNAL OF SYMBOLIC COMPUTATION, 2017, 81 :41-68

[5]

Betina K, 1992, Analysis, V12, P95

[6]

Cartan H., 1975, Theorie Elementaire des Fonctions Analytiques d'Une ou Plusieurs Variables Complexes

[7]

Chancier A., 2007, Courbes Algebriques Planes

[8]

Cheng S. S., 2008, Analytic Solutions of Functional Equations

[9] GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS [J].

Choucha, Abdelbaki ;

Jan, Rashid ;

Mekawy, Ibrahim ;

Alharbi, Asma ;

Alnegga, Mohammad .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (10) :3018-3034

[10] A decision method for the integrability of differential-algebraic Pfaffian systems [J].

D'Alfonso, Lisi ;

Jeronimo, Gabriela ;

Solerno, Pablo .

ADVANCES IN APPLIED MATHEMATICS, 2016, 72 :175-194

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