ON THE INTEGRAL CHARACTERIZATION OF PRINCIPAL SOLUTIONS FOR HALF-LINEAR ODE

被引：0

作者：

Cecchi, Mariella ^{[1
]}

Dosla, Zuzana ^{[2
]}

Dosly, Ondrej ^{[2
]}

Marini, Mauro ^{[3
]}

机构：

[1] Univ Florence, Dept Elect & Telecommun, I-50139 Florence, Italy

[2] Masaryk Univ, Dept Math & Stat, CZ-61137 Brno, Czech Republic

[3] Univ Florence, Dept Math & Informat Ulisse Dini, I-50139 Florence, Italy

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2013年 / 12期

关键词：

Half-linear differential equation; principal solution; oscillation; EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter alpha is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations.

引用

页码：1 / 14

页数：14

共 50 条

[1] Half-linear ODE and modified Riccati equation: Comparison theorems, integral characterization of principal solution
Fisnarova, Simona
Marik, Robert
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6427 - 6433
[2] LIMIT AND INTEGRAL PROPERTIES OF PRINCIPAL SOLUTIONS FOR HALF-LINEAR DIFFERENTIAL EQUATIONS
Cecchi, Mariella
Dosla, Zuzana
Marini, Mauro
ARCHIVUM MATHEMATICUM, 2007, 43 (01): : 75 - 86
[3] Integral characterization of the principal solution of half-linear second order differential equations
Dosly, O
Elbert, A
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2000, 36 (3-4) : 455 - 469
[4] Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes
Rehak, Pavel
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023, (01) : 1 - 28
[5] Half-linear equations and characteristic properties of the principal solution
Cecchi, M
Doslá, Z
Marini, M
JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 208 (02) : 494 - 507
[6] Integral condition for oscillation of half-linear differential equations with damping
Sugie, Jitsuro
Ishibashi, Kazuki
APPLIED MATHEMATICS LETTERS, 2018, 79 : 146 - 154
[7] AN ASYMPTOTIC FORMULA FOR SOLUTIONS OF NONOSCILLATORY HALF-LINEAR DIFFERENTIAL EQUATIONS
Dosly, Ondrej
Reznickova, Jana
ARCHIVUM MATHEMATICUM, 2011, 47 (01): : 69 - 75
[8] Asymptotic behavior of solutions of nonautonomous half-linear differential systems
Sugie, Jitsuro
Onitsuka, Masakazu
Yamaguchi, Aya
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2007, 44 (02) : 159 - 189
[9] Variational technique and principal solution in half-linear oscillation criteria
Dosly, Ondrej
Fisnarova, Simona
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5385 - 5391
[10] Summation Characterization of the Recessive Solution for Half-Linear Difference Equations
Dosly, Ondrej
Fisnarova, Simona
ADVANCES IN DIFFERENCE EQUATIONS, 2009,

← 1 2 3 4 5 →