The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case

被引：0

作者：

Li, Min ^{[1
]}

Li, Xiong ^{[2
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2024年 / 154卷 / 01期

关键词：

Asymmetric oscillations; Unbounded solutions; BOUNDEDNESS; SYSTEMS;

D O I：

10.1017/prm.2023.12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of unbounded solutions of the asymmetric oscillation in the case when each zero of the discriminative function is degenerate. This is the only case that has not been studied in the literature.

引用

页码：285 / 303

页数：19

共 50 条

[1] Unbounded solutions for asymmetric oscillations in the degenerate resonant case
Li, Min
Li, Xiong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 309 : 786 - 808
[2] Unbounded solutions in asymmetric oscillations
Yang, XJ
MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (1-2) : 57 - 62
[3] A note on the existence of unbounded solutions to a perturbed asymmetric oscillator
Dambrosio, W
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (03) : 333 - 346
[4] Existence of periodic solutions in nonlinear asymmetric oscillations
Yang, XJ
MATHEMATICAL AND COMPUTER MODELLING, 2005, 41 (4-5) : 371 - 377
[5] Existence of periodic solutions in nonlinear asymmetric oscillations
Yang, XJ
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2005, 37 : 566 - 574
[6] EXISTENCE OF WEAK SOLUTIONS FOR DEGENERATE SEMILINEAR ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS
Raghavendra, Venkataramanarao
Kar, Rasmita
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[7] ON OSCILLATIONS OF UNBOUNDED SOLUTIONS
GYORI, I
LADAS, G
PAKULA, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 106 (03) : 785 - 792
[8] Existence and uniqueness of solutions to the Bellman equation in the unbounded case
Rincón-Zapatero, JP
Rodríguez-Palmero, C
ECONOMETRICA, 2003, 71 (05) : 1519 - 1555
[9] EXISTENCE OF SOLUTIONS TO RESONANT ELLIPTIC BOUNDARY VALUE PROBLEMS WITH UNBOUNDED DISCONTINUOUS NONLINEARITIES
Lepchinskii, M. G.
SIBERIAN MATHEMATICAL JOURNAL, 2011, 52 (03) : 487 - 500
[10] Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities
Lepchinskiĭ M.G.
Siberian Mathematical Journal, 2011, 52 (3) : 487 - 500

← 1 2 3 4 5 →