Existence Results for Nonlinear Problems with φ-Laplacian Operators and Nonlocal Boundary Conditions

被引：0

作者：

Dallos Santos, Dionicio Pastor ^{[1
]}

机构：

[1] Univ Sao Paulo, IME, Dept Math, BR-05508090 Sao Paulo, SP, Brazil

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2022年 / 40卷

关键词：

Boundary value problem; Leray-Schauder degree; Brouwer degree; nonlocal boundary conditions; Fixed point theorem; PERIODIC-SOLUTIONS; P-LAPLACIAN;

D O I：

10.5269/bspm.41594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Leray-Schauder degree theory, we study the existence of at least one solution for the boundary value problem of the type {(phi(u'))' = f(t, u, u') u' (0) = u(0), u'(T) = bu'(0), where phi : R -> R is a homeomorphism such that phi(0) = 0, f : [0, T] x R x R -> R is a continuous function, T a positive real number, and b some non zero real number.

引用

页数：10

共 50 条

[1] Existence results for the p-Laplacian with nonlinear boundary conditions
Bonder, JF
Rossi, JD
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 263 (01) : 195 - 223
[2] Existence results for nonlinear problems with φ-Laplacian
Ma, Ruyun
Zhang, Lu
Liu, Ruikuan
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2015, (22)
[3] Existence results for nonlinear problems with separated boundary conditions
Cabada, Alberto
Lois, Susana
Nonlinear Analysis, Theory, Methods and Applications, 1999, 35 (04): : 449 - 456
[4] Existence results for nonlinear problems with separated boundary conditions
Cabada, A
Lois, S
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (04) : 449 - 456
[5] NONLINEAR BOUNDARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
郑宋穆
ChineseAnnalsofMathematics, 1983, (02) : 177 - 186
[6] Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
Erlin Guo
Peihao Zhao
Boundary Value Problems, 2012 (1)
[7] Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions
Guo, Erlin
Zhao, Peihao
BOUNDARY VALUE PROBLEMS, 2012, 2012
[8] EXISTENCE RESULTS FOR IMPULSIVE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS
Liu, Zhenhai
Lv, Jingyun
MATHEMATICA SLOVACA, 2015, 65 (06) : 1291 - 1308
[9] Existence results for nonlocal problems governed by the regional fractional Laplacian
Fall, Mouhamed Moustapha
Temgoua, Remi Yvant
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 30 (02):
[10] Existence results for nonlocal problems governed by the regional fractional Laplacian
Mouhamed Moustapha Fall
Remi Yvant Temgoua
Nonlinear Differential Equations and Applications NoDEA, 2023, 30

← 1 2 3 4 5 →