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References (27)
-
A.L. Skubachevskii (1990)
Model Nonlocal Problems for Elliptic Equations in Dihedral AnglesDiffer. Uravn., 26
-
A.V. Bitsadze (1984)
On the Theory of Nonlocal Boundary Value ProblemsDokl. Akad. Nauk SSSR, 277
-
V.A. Il’in, E.I. Moiseev (1988)
An A Priori Estimate for the Solution of a Problem Associated with a Nonlocal Boundary Value Problem of the First KindDiffer. Uravn., 24
-
G. Lobjanidze (2006)
On Variational Formulation of Some Nonlocal Boundary Value Problems by Symmetric Continuation Operation of a FunctionAMIM, 11
-
A.V. Bitsadze (1984)
A Class of Conditionally Solvable Nonlocal Boundary Value ProblemsDokl. Akad. Nauk SSSR, 280
-
A. Skubachevskii (1984)
Nonlocal Elliptic Problems with a ParameterMathematics of The Ussr-sbornik, 49
-
A. Skubachevskii (2003)
Nonlocal Boundary-Value Problems for Elliptic Systems in AnglesJournal of Mathematical Sciences, 114
-
V.A. Il’in, E.I. Moiseev (1987)
A Nonlocal Boundary Value Problem of the First Kind for the Sturm-Liouville Operator in Differential and Difference InterpretationsDiffer. Uravn., 23
-
A.V. Bitsadze, A.A. Samarskii (1969)
Some Elementary Generalizations of Linear Elliptic Boundary Value ProblemsDokl. Akad. Nauk SSSR, 185
-
A.L. Skubachevskii (2002)
Nonlocal Boundary Value Problems for Elliptic Systems in AnglesTr. Semin. im. I.G. Petrovskogo, 22
-
G. Lobjanidze (2003)
On the Variational Statement of Bitsadze-Samarskii Problem for the Equation −Δu + λu = fRep. Enlarged Sess. Semin. I. Vekua Appl. Math., 18
-
D.G. Gordeziani (1970)
A Method for Solving the Bitsadze-Samarskii Boundary Value ProblemAbstr. Semin. Inst. Appl. Math. Tbil. State Univ., 2
-
Z.V. Kiguradze (1995)
Domain Decomposition and Parallel Algorithm for Bitsadze-Samarskii Boundary Value ProblemRep. Enlarged Sess. Semin. I. Vekua Appl. Math., 10
-
A.V. Bitsadze (1981)
Nekotorye klassy uravnenii v chastnykh proizvodnykh -
A.L. Skubachevskii (1985)
Solvability of Elliptic Problems with Boundary Conditions of Bitsadze-Samarskii TypeDiffer. Uravn., 21
-
K. Rektorys (1977)
Variational Methods in Mathematics, Science and Engineering -
T.A. Jangveladze, Z.V. Kiguradze (2001)
Domain Decomposition for Bitsadze-Samarskii Boundary Value ProblemRep. Enlarged Sess. Semin. I. Vekua Appl. Math., 16
-
A. Skubachevskii (1999)
Elliptic Functional Differential Equations and Applications -
A.K. Gushchin, V.P. Mikhailov (1995)
Continuity of Solutions of a Class of Nonlocal Problems for an Elliptic EquationMat. Sb., 133
-
D.G. Gordeziani (1981)
O metodakh resheniya odnogo klassa nelokal’nykh kraevykh zadach -
T.A. Jangveladze, Z.V. Kiguradze (2005)
Decomposition Method for a Nonlocal Bitsadze-Samarskii Boundary Value ProblemTr. Tbilis. Gos. Univ., 354
-
M.P. Sapagovas, R.Yu. Chegis (1987)
On Some Boundary Value Problem with a Nonlocal ConditionDiffer. Uravn., 23
-
T. Jangveladze, G. Lobjanidze, Z. Kiguradze (2007)
On Variational Formulation and Decomposition Methods for Bitsadze-Samarskii Nonlocal Boundary Value Problem for Two-Dimensional Second Order Elliptic EquationsProc. I. Vekua Inst. Appl. Math., 57
-
T.A. Jangveladze, G.B. Lobjanidze (2009)
On a Variational Formulation of a Nonlocal Boundary Value Problem for a Fourth-Order Ordinary Differential EquationDiffer. Uravn., 45
-
V.A. Il’in, E.I. Moiseev (1990)
A Two-Dimensional Nonlocal Boundary Value Problem for the Poisson Operator in the Differential and the Difference InterpretationMat. Model., 2
-
T.A. Jangveladze (1975)
Thesis Rep. Stud. Sci. Conf. -
B.P. Paneyakh (1984)
Some Nonlocal Boundary Value Problems for Linear Differential OperatorsMat. Zametki, 35
- Publisher
- Springer Journals
- Copyright
- Copyright © 2011 by Pleiades Publishing, Ltd.
- Subject
- Mathematics; Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S0012266111020042
- Publisher site
- See Article on Publisher Site
Abstract
We study a boundary value problem for a fourth-order ordinary differential equation with a nonlocal boundary condition. We give a necessary and sufficient condition for a minimizer of a specially constructed functional to be a solution of the problem.
Journal
Differential Equations – Springer Journals
Published: Apr 8, 2011