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A nonlocal boundary-value problem for the gellerstedt equation

Mathematical Notes, 2000
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Remarks on nonlocal boundary value problems at resonance

Applied Mathematics and Computation, 2010
The author considers the nonlocal boundary value problems \[ -u''(t)=f(t, u(t), u'(t)),\quad u(0)=0,\;u(1)=\int^1_0 tdA(t), \] and \[ -(p(t)u')'(t)=f(t, u(t),\;u'(t)),\quad u'(0)=0,\;u(1)=\int^1_0 tdB(t). \] He shows that it is important to allow the nonlinear term \(f\) to change sign when discussing the existence of positive solutions by providing ...
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Nonlocal boundary-value problems with a shift

Mathematical Notes of the Academy of Sciences of the USSR, 1985
This first part of the paper deals with strongly elliptic differential- difference equations; it is an extract of an earlier paper [J. Differ. Equations 63, 332-361 (1986; Zbl 0598.35122)]. The second part applies the results of the first part to linear elliptic boundary value problems of second order. In a domain \(D=(0,d)\times G\subset {\mathbb{R}}^
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Singular nonlocal boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 2005
Abstract This paper presents conditions for the existence of solutions to the differential equation ( g ( x ′ ) ) ′ = f ( t , x , x ′ ) satisfying the nonlocal boundary conditions min { x ( t ) : 0 ⩽ t ⩽ T } = 0 and Φ ( x ′ ) = 0 .
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A nonlocal boundary-value problem for the Euler-Darboux equation

Journal of Soviet Mathematics, 1992
See the review in Zbl 0637.35072.
Volkodavov, V. F., Repin, O. A.
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The Solvability of a Nonlocal Boundary Value Problem

Mathematica Slovaca, 2015
Abstract In this paper we consider the following boundary value problem where f : [0, 1]×ℝk×ℝk → ℝk and the integral is meant in the sense of Riemann- Stieltjes. We give conditions for
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On the Stability of a Nonlocal Finite-Difference Boundary Value Problem

Differential Equations, 2003
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Gulin, A. V., Morozova, V. A.
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BOUNDARY VALUE PROBLEMS WITH STRONG NONLOCALNESS FOR ELLIPTIC EQUATIONS

Mathematics of the USSR-Izvestiya, 1990
The author constructs the Noether theory for a class of strongly nonlocal elliptic boundary value problems. Let \(\Omega\) be a bounded domain in \(\mathbb{R}^{n+1}\) with smooth boundary \(X\), and let \(P\) be an \(m\)th-order elliptic operator in \(\Omega\) with smooth coefficients.
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Nonlocal Elliptic Boundary Value Problems

1997
In this chapter we consider mainly elliptic boundary value problems with the support of nonlocal terms inside a domain Q.
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Distributed control in a class of nonlocal boundary-value problems

Journal of Mathematical Sciences, 1999
See the review in Zbl 0926.49001.
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