Unique solvability of a non-linear non-local boundary-value problem for systems of non-linear functional differential equations

被引：7

作者：

Dilna, N. ^{[1
]}

Ronto, A. ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine

[2] Acad Sci Czech Republic, Inst Math, CZ-61662 Brno, Czech Republic

来源：

MATHEMATICA SLOVACA | 2010年 / 60卷 / 03期

关键词：

non-linear boundary-value problem; functional differential equation; non-local condition; unique solvability; differential inequality;

D O I：

10.2478/s12175-010-0015-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

General conditions for the unique solvability of a non-linear nonlocal boundary-value problem for systems of non-linear functional differential equations are obtained.

引用

页码：327 / 338

页数：12

共 50 条

[41] NORMAL SOLVABILITY OF NON-LINEAR EQUATIONS
POKHOZHAEV, SI
[J]. DOKLADY AKADEMII NAUK SSSR, 1969, 184 (01): : 40 - +
[42] NON-LINEAR BOUNDARY-VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL-EQUATIONS WITH A SMALL PARAMETER
NAGLE, RK
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1978, 9 (04) : 719 - 729
[43] NON-LINEAR MIXED BOUNDARY-VALUE PROBLEMS FOR PARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS
BAILETINTISSAR, J
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1985, 100 : 219 - 235
[44] NON-LINEAR BOUNDARY PROBLEM FOR A FUNCTIONAL-DIFFERENTIAL EQUATION
DYSON, J
VILLELLABRESSAN, R
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1979, 34 (02) : 273 - 290
[45] SOLUTION TO A MIXED BOUNDARY-VALUE PROBLEM FOR NON-LINEAR ELLIPTIC EQUATIONS BY NETWORK METHOD
DOSIEV, AA
MAMEDOV, JD
[J]. DOKLADY AKADEMII NAUK SSSR, 1978, 242 (04): : 757 - 760
[46] A NON-LINEAR VLASOV BOUNDARY VALUE PROBLEM
ZAWADZKI, EM
LEWAK, GJ
[J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1969, 14 (11): : 1036 - &
[47] SOLVABILITY OF NON-LINEAR EQUATIONS AND BOUNDARY-VALUE-PROBLEMS - FUCIK,S
PROTTER, MH
[J]. AMERICAN SCIENTIST, 1983, 71 (04) : 427 - 427
[48] Non-local non-linear sigma models
Gubser, Steven S.
Jepsen, Christian B.
Ji, Ziming
Trundy, Brian
Yarom, Amos
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (09)
[49] Non-local non-linear sigma models
Steven S. Gubser
Christian B. Jepsen
Ziming Ji
Brian Trundy
Amos Yarom
[J]. Journal of High Energy Physics, 2019
[50] SOLVABILITY OF NON-LINEAR EQUATIONS AND BOUNDARY-VALUE-PROBLEMS - FUCIK,S
LAZER, AC
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 8 (03) : 482 - 489

← 1 2 3 4 5 →