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ON THE SOLVABILITY OF A FOURTH-ORDER IMPLICIT DIFFERENTIAL EQUATION
被引:0
作者
:
Feng, Yuqiang
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China
Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China
Feng, Yuqiang
[
1
]
Bu, Rongli
论文数:
0
引用数:
0
h-index:
0
机构:
Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China
Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China
Bu, Rongli
[
1
]
机构
:
[1]
Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Hubei, Peoples R China
来源
:
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES
|
2011年
/ 7卷
/ 02期
关键词
:
fourth-order implicit differential equation;
solution;
existence;
uniqueness;
D O I
:
暂无
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
In this paper, we are concerned with the boundary value problem of a fourth-order implicit differential equation. When the nonlinearity satisfies some local monotone and convex conditions, existence and uniqueness results are established.
引用
收藏
页码:113 / 126
页数:14
相关论文
共 15 条
[1]
EXISTENCE AND UNIQUENESS THEOREMS FOR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS
AFTABIZADEH, AR
论文数:
0
引用数:
0
h-index:
0
机构:
PAN AMER UNIV,DEPT MATH,EDINBURG,TX 78539
PAN AMER UNIV,DEPT MATH,EDINBURG,TX 78539
AFTABIZADEH, AR
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1986,
116
(02)
: 415
-
426
[2]
Agarwal R., 1989, DIFFER INTEGRAL EQU, V2, P91, DOI [10.57262/die/1372191617, DOI 10.57262/DIE/1372191617]
[3]
THE METHOD OF LOWER AND UPPER SOLUTIONS FOR 2ND, 3RD, 4TH, AND HIGHER-ORDER BOUNDARY-VALUE-PROBLEMS
CABADA, A
论文数:
0
引用数:
0
h-index:
0
机构:
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago
CABADA, A
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1994,
185
(02)
: 302
-
320
[4]
EXISTENCE FOR A 4TH-ORDER BOUNDARY-VALUE PROBLEM UNDER A 2-PARAMETER NONRESONANCE CONDITION
DELPINO, MA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
DELPINO, MA
MANASEVICH, RF
论文数:
0
引用数:
0
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UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
MANASEVICH, RF
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
112
(01)
: 81
-
86
[5]
Li F., 1999, ACTA MATH SINICA, V42, P193
[6]
Ma RY, 1997, J MATH ANAL APPL, V215, P415
[7]
AN INTRINSIC SUFFICIENT CONDITION FOR REGULAR DECOUPLING
MARTIN, P
论文数:
0
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0
机构:
ECOLE MINES PARIS, CTR AUTOMAT SYST, F-77305 FONTAINEBLEAU, FRANCE
ECOLE MINES PARIS, CTR AUTOMAT SYST, F-77305 FONTAINEBLEAU, FRANCE
MARTIN, P
[J].
SYSTEMS & CONTROL LETTERS,
1993,
20
(05)
: 383
-
391
[8]
On implicit systems of differential equations
Pritchard, FL
论文数:
0
引用数:
0
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0
机构:
CUNY York Coll, Dept Math & Comp Sci, Jamaica, NY 11451 USA
CUNY York Coll, Dept Math & Comp Sci, Jamaica, NY 11451 USA
Pritchard, FL
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
2003,
194
(02)
: 328
-
363
[9]
A GEOMETRIC TREATMENT OF IMPLICIT DIFFERENTIAL-ALGEBRAIC EQUATIONS
RABIER, PJ
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
RABIER, PJ
RHEINBOLDT, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
RHEINBOLDT, WC
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
1994,
109
(01)
: 110
-
146
[10]
A MODIFIED ALGORITHM FOR INVERTIBILITY IN NON-LINEAR SYSTEMS
SINGH, SN
论文数:
0
引用数:
0
h-index:
0
SINGH, SN
[J].
IEEE TRANSACTIONS ON AUTOMATIC CONTROL,
1981,
26
(02)
: 595
-
598
←
1
2
→
共 15 条
[1]
EXISTENCE AND UNIQUENESS THEOREMS FOR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS
AFTABIZADEH, AR
论文数:
0
引用数:
0
h-index:
0
机构:
PAN AMER UNIV,DEPT MATH,EDINBURG,TX 78539
PAN AMER UNIV,DEPT MATH,EDINBURG,TX 78539
AFTABIZADEH, AR
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1986,
116
(02)
: 415
-
426
[2]
Agarwal R., 1989, DIFFER INTEGRAL EQU, V2, P91, DOI [10.57262/die/1372191617, DOI 10.57262/DIE/1372191617]
[3]
THE METHOD OF LOWER AND UPPER SOLUTIONS FOR 2ND, 3RD, 4TH, AND HIGHER-ORDER BOUNDARY-VALUE-PROBLEMS
CABADA, A
论文数:
0
引用数:
0
h-index:
0
机构:
Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago
CABADA, A
[J].
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
1994,
185
(02)
: 302
-
320
[4]
EXISTENCE FOR A 4TH-ORDER BOUNDARY-VALUE PROBLEM UNDER A 2-PARAMETER NONRESONANCE CONDITION
DELPINO, MA
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
DELPINO, MA
MANASEVICH, RF
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
UNIV CHILE,FCFM,DEPT MATH,SANTIAGO,CHILE
MANASEVICH, RF
[J].
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
112
(01)
: 81
-
86
[5]
Li F., 1999, ACTA MATH SINICA, V42, P193
[6]
Ma RY, 1997, J MATH ANAL APPL, V215, P415
[7]
AN INTRINSIC SUFFICIENT CONDITION FOR REGULAR DECOUPLING
MARTIN, P
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE MINES PARIS, CTR AUTOMAT SYST, F-77305 FONTAINEBLEAU, FRANCE
ECOLE MINES PARIS, CTR AUTOMAT SYST, F-77305 FONTAINEBLEAU, FRANCE
MARTIN, P
[J].
SYSTEMS & CONTROL LETTERS,
1993,
20
(05)
: 383
-
391
[8]
On implicit systems of differential equations
Pritchard, FL
论文数:
0
引用数:
0
h-index:
0
机构:
CUNY York Coll, Dept Math & Comp Sci, Jamaica, NY 11451 USA
CUNY York Coll, Dept Math & Comp Sci, Jamaica, NY 11451 USA
Pritchard, FL
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
2003,
194
(02)
: 328
-
363
[9]
A GEOMETRIC TREATMENT OF IMPLICIT DIFFERENTIAL-ALGEBRAIC EQUATIONS
RABIER, PJ
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
RABIER, PJ
RHEINBOLDT, WC
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh
RHEINBOLDT, WC
[J].
JOURNAL OF DIFFERENTIAL EQUATIONS,
1994,
109
(01)
: 110
-
146
[10]
A MODIFIED ALGORITHM FOR INVERTIBILITY IN NON-LINEAR SYSTEMS
SINGH, SN
论文数:
0
引用数:
0
h-index:
0
SINGH, SN
[J].
IEEE TRANSACTIONS ON AUTOMATIC CONTROL,
1981,
26
(02)
: 595
-
598
←
1
2
→