The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations

被引：1

作者：

Mukhigulashvili, Sulkhan ^{[1
,2
]}

Puza, Bedrich ^{[2
]}

机构：

[1] Acad Sci Czech Republ, Math Inst, Zizkova 22, Brno 61662, Czech Republic

[2] Brno Univ Technol, Fac Business & Management, Brno 61200, Czech Republic

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

higher order nonlinear functional-differential equations; two-point right-focal boundary value problem; strong singularity; Fredholm property; NONLOCAL PROBLEMS; WELL-POSEDNESS; SOLVABILITY; DIRICHLET;

D O I：

10.1186/s13661-014-0277-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The a priori boundedness principle is proved for the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the two-point right-focal problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear differential equations with argument deviations under the two-point right-focal boundary conditions.

引用

页数：21

共 50 条

[1] The focal boundary value problem for strongly singular higher-order nonlinear functional-differential equations
Sulkhan Mukhigulashvili
Bedřich Půža
[J]. Boundary Value Problems, 2015
[2] The dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations
Mukhigulashvili, Sulkhan
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2013, 63 (01) : 235 - 263
[3] The dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations
Sulkhan Mukhigulashvili
[J]. Czechoslovak Mathematical Journal, 2013, 63 : 235 - 263
[4] THE NONLOCAL BOUNDARY VALUE PROBLEMS FOR STRONGLY SINGULAR HIGHER-ORDER NONLINEAR FUNCTIONAL-DIFFERENTIAL EQUATIONS
Mukhigulashvili, Sulkhan
[J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 23 - 50
[5] Nonlocal Boundary Value Problem for Strongly Singular Higher-Order Linear Functional-Differential Equations
Mukhigulashvili, Sulkhan
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2013, (33) : 1 - 38
[6] NONOSCILLATION OF HIGHER-ORDER FUNCTIONAL-DIFFERENTIAL EQUATIONS
GRAEF, JR
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 92 (02) : 524 - 532
[7] SINGULAR NONLINEAR BOUNDARY-VALUE-PROBLEMS FOR HIGHER-ORDER ORDINARY DIFFERENTIAL-EQUATIONS
ELOE, PW
HENDERSON, J
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (01) : 1 - 10
[8] The boundary value problem for one class of higher-order nonlinear partial differential equations
Kharibegashvili, Sergo
Midodashvili, Bidzina
[J]. GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (03) : 387 - 395
[9] A boundary value problem on the half-line for higher-order nonlinear differential equations
Philos, Ch. G.
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2009, 139 : 1017 - 1035
[10] Singular perturbations of a higher-order scalar nonlinear boundary value problem
Shi, YM
Gao, CZ
[J]. ACTA MATHEMATICA SCIENTIA, 1997, 17 (02) : 167 - 179

← 1 2 3 4 5 →