Third-Order Generalized Discontinuous Impulsive Problems on the Half-Line

被引：3

作者：

Minhos, Feliz ^{[1
,2
]}

Carapinha, Rui ^{[2
]}

机构：

[1] Univ Evora, Dept Matemat, Escola Ciencias & Tecnol, Rua Romao Ramalho 59, P-7000671 Evora, Portugal

[2] Univ Evora, Ctr Invest Matemat & Aplicacoes CIMA, Inst Invest & Formacao Avancada, Rua Romao Ramalho 59, P-7000671 Evora, Portugal

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2021年 / 26卷 / 04期

关键词：

impulsive problems; upper and lower solutions; equiconvergence; boundary layer flow; BOUNDARY-VALUE-PROBLEMS; STAGNATION-POINT FLOW; DIFFERENTIAL-EQUATIONS RELEVANT; SEMIINFINITE INTERVAL; MULTIPLICITY; SOLVABILITY;

D O I：

10.3846/mma.2021.12557

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do not need to be positive nor sublinear and the monotone assumptions are local ones. Our method makes use of some truncation and perturbed techniques and on the equiconvergence at infinity and the impulsive points. The last section contains an application to a boundary layer flow problem over a stretching sheet with and without heat transfer.

引用

页码：548 / 565

页数：18

共 50 条

[11] Impulsive problems on the half-line with infinite impulse moments*
Feliz Minhós
Lithuanian Mathematical Journal, 2017, 57 : 69 - 79
[12] Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line
Lopez Pouso, Rodrigo
Rodriguez-Lopez, Jorge
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (79) : 1 - 18
[13] Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces
Guo, Dajun
BOUNDARY VALUE PROBLEMS, 2016,
[14] Existence of two positive solutions for a class of third-order impulsive singular integro-differential equations on the half-line in Banach spaces
Dajun Guo
Boundary Value Problems, 2016
[15] Multiple solutions of impulsive boundary value problems on the half-line
Xiyu Liu
Baoqiang Yan
Korean Journal of Computational & Applied Mathematics, 1998, 5 (1): : 111 - 123
[16] Multiple solutions of impulsive boundary value problems on the half-line
Institute of Applied Mathematics, Shandong Normal University, Ji-Nan, Shandong 250014, China
J. Appl. Math. Comp., 1 (111-123):
[17] Positive Solutions for Singular Third-Order Boundary Value Problem with Dependence on the First Order Derivative on the Half-Line
Sihua Liang
Jihui Zhang
Acta Applicandae Mathematicae, 2010, 111 : 27 - 43
[18] Positive Solutions for Singular Third-Order Boundary Value Problem with Dependence on the First Order Derivative on the Half-Line
Liang, Sihua
Zhang, Jihui
ACTA APPLICANDAE MATHEMATICAE, 2010, 111 (01) : 27 - 43
[19] Boundary value problems on half-line for second-order nonlinear impulsive differential equations
Akgol, S. D.
Zafer, A.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (14) : 5459 - 5465
[20] Multiple Solutions of the Singular Impulsive Boundary Value Problems on the Half-line
Bao-qiang Yan Yan-sheng Liu Department of Mathematics
Acta Mathematicae Applicatae Sinica(English Series), 2004, (03) : 11 - 26

← 1 2 3 4 5 →