Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions

被引：5

作者：

Cabada, Alberto ^{[1
]}

Tomecek, Jan

机构：

[1] Univ Santiago de Compostela, Dept Anal Matemat, Santiago De Compostela, Spain

[2] Palacky Univ, Dept Math, CR-77147 Olomouc, Czech Republic

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 328卷 / 02期

关键词：

boundary value problem; impulses; lower and upper solutions; functional dependence;

D O I：

10.1016/j.jmaa.2006.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we deal with nonlinear second-order boundary value problems with impulses. The impulsive functions depend implicitly on the different considered variables and the boundary value conditions are nonlinear. In both cases functional dependence on the solution is allowed. The existence results follow from the existence of a pair of well-ordered lower and upper solutions. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1013 / 1025

页数：13

共 50 条

[1] Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions
Cabada, Alberto
Thompson, Bevan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (18) : 7198 - 7209
[2] Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions
Cabada, A
Pouso, RL
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (08) : 1377 - 1396
[3] NAGUMO CONDITIONS AND SECOND-ORDER QUASILINEAR EQUATIONS WITH COMPATIBLE NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS
Mawhin, Jean
Thompson, H. B.
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (02) : 573 - 596
[4] Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
Park, Dong-Gun
Jeong, Jin-Mun
Kim, Han-Geul
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[5] Oscillation Criteria for Second-order Nonlinear Functional Differential Equations
Zhang, Meng
Sun, Shurong
[J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 393 - 396
[6] On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations
Sun, Shurong
Li, Tongxing
Han, Zhenlai
Zhang, Chao
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2013, 36 (03) : 541 - 554
[7] Regularity for Solutions of Second-Order Nonlinear Integrodifferential Functional Equations
Dong-Gun Park
Jin-Mun Jeong
Han-Geul Kim
[J]. Journal of Inequalities and Applications, 2010
[8] Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line
Lopez Pouso, Rodrigo
Rodriguez-Lopez, Jorge
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (79) : 1 - 18
[9] Extremal solutions for second-order fully discontinuous problems with nonlinear functional boundary conditions
Figueroa, Ruben
Lopez Pouso, Rodrigo
Rodriguez-Lopez, Jorge
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (29) : 1 - 14
[10] Bounding Surfaces and Second Order Quasilinear Equations with Compatible Nonlinear Functional Boundary Conditions
Mawhin, Jean
Thompson, Bevan
[J]. ADVANCED NONLINEAR STUDIES, 2011, 11 (01) : 157 - 178

← 1 2 3 4 5 →