On a boundary value problem for first-order scalar functional differential equations

被引：23

作者：

Hakl, R

Lomtatidze, A

Puza, B

机构：

[1] Acad Sci Czech Republ, Inst Math, Brno 61662, Czech Republic

[2] Masaryk Univ, Fac Sci, Dept Math Anal, Brno 66295, Czech Republic

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 53卷 / 3-4期

关键词：

boundary value problems; first-order scalar functional differential equations; existence and uniqueness of a solution;

D O I：

10.1016/S0362-546X(02)00305-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonimprovable effective sufficient conditions for solvability and unique solvability of the boundary value problem u'(t) = F(u)(t), u(a) = h(u), where F : C([a, b]; R) --> L([a, b]; R) is a continuous operator satisfying the Caratheodory condition and h : C([a, b]; R) --> R is a continuous functional, are established. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：391 / 405

页数：15

共 50 条

[1] On the Periodic Boundary Value Problem for First-Order Functional-Differential Equations
A. G. Lomtatidze
R. Hakl
B. Půža
[J]. Differential Equations, 2003, 39 : 344 - 352
[2] On the periodic boundary value problem for first-order functional-differential equations
Lomtatidze, AG
Hakl, R
Puza, B
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (03) : 344 - 352
[3] Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
Kexue Zhang
Xinzhi Liu
[J]. Journal of Inequalities and Applications, 2010
[4] Periodic boundary value problem for first-order impulsive functional differential equations
Luo, Zhiguo
Jing, Zhujun
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (09) : 2094 - 2107
[5] Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
Zhang, Kexue
Liu, Xinzhi
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[6] Periodic boundary value problem for first-order impulsive functional differential equations
He, ZM
Yu, JS
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) : 205 - 217
[7] On estimates of solutions of the periodic boundary value problem for first-order functional differential equations
Eugene Bravyi
[J]. Boundary Value Problems, 2014
[8] On estimates of solutions of the periodic boundary value problem for first-order functional differential equations
Bravyi, Eugene
[J]. BOUNDARY VALUE PROBLEMS, 2014,
[9] Periodic Boundary Value Problem For First-Order Impulsive Differential Equations
Xiao, Li
Liu, Ting
Liu, Anping
[J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 347 - 350
[10] On a periodic-type boundary value problem for first-order nonlinear functional differential equations
Hakl, R
Lomtatidze, A
Sremr, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (03) : 425 - 447

← 1 2 3 4 5 →