Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian

被引：2
|
作者：
Dosla, Zuzana [1 ]
Fujimoto, Kodai [2 ]
机构：
[1] Masaryk Univ, Dept Math & Stat, Kotlarska 2, Brno 61137, Czech Republic
[2] Osaka Metropolitan Univ, Fac Liberal Arts Sci & Global Educ, Gakuen Cho 1-1,Naka Ku, Sakai, Osaka 5998531, Japan
来源：
MONATSHEFTE FUR MATHEMATIK | 2023年 / 201卷 / 01期
关键词：
Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations;
D O I：
10.1007/s00605-023-01835-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results.
引用
收藏
页码：65 / 78
页数：14
相关论文
共 50 条
  • [41] Existence of Solutions for Weighted p(t)-Laplacian Mixed Caputo Fractional Differential Equations at Resonance
    Lakoud, Assia Guezane
    Ashyralyev, Allaberen
    FILOMAT, 2022, 36 (01) : 231 - 241
  • [42] Asymptotic integration of nonlinear φ-Laplacian differential equations
    Medved, Milan
    Moussaoui, Toufik
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 2000 - 2008
  • [43] Asymptotic Properties of Solutions to Differential Equations of Neutral Type
    Balandin A.S.
    Malygina V.V.
    Siberian Advances in Mathematics, 2021, 31 (2) : 79 - 111
  • [44] ASYMPTOTIC PROPERTIES OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH SIMPLE CHARACTERISTICS
    AGMON, S
    HORMANDER, L
    JOURNAL D ANALYSE MATHEMATIQUE, 1976, 30 : 1 - 38
  • [45] On Asymptotic Properties of Solutions for Differential Equations of Neutral Type
    V. V. Malygina
    K. M. Chudinov
    Journal of Mathematical Sciences, 2024, 283 (2) : 272 - 288
  • [46] ASYMPTOTIC PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH BOUNDED Φ-LAPLACIAN
    Dosla, Zuzana
    Cecchi, Mariella
    Marini, Mauro
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
  • [47] Existence of positive solutions to a class of p(x)-Laplacian equations with singular nonlinearities
    Zhang, Qihu
    APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2381 - 2384
  • [48] Weak Solutions and Energy Estimates for Singular p-Laplacian-Type Equations
    Chu, Jifeng
    Heidarkhani, Shapour
    Salari, Amjad
    Caristi, Giuseppe
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2018, 24 (01) : 51 - 63
  • [49] EXISTENCE OF POSITIVE SOLUTIONS FOR p(x)-LAPLACIAN EQUATIONS WITH A SINGULAR NONLINEAR TERM
    Liu, Jingjing
    Zhang, Qihu
    Zhao, Chunshan
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [50] Weak Solutions and Energy Estimates for Singular p-Laplacian-Type Equations
    Jifeng Chu
    Shapour Heidarkhani
    Amjad Salari
    Giuseppe Caristi
    Journal of Dynamical and Control Systems, 2018, 24 : 51 - 63
12345