Results 171 to 180 of about 1,617 (206)

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}}^
openaire   +1 more source

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 .
openaire   +1 more source

Nonlocal parabolic boundary-value problem

Ukrainian Mathematical Journal, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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
openaire   +1 more source

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.
openaire   +2 more sources

On the Stability of a Nonlocal Finite-Difference Boundary Value Problem

Differential Equations, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gulin, A. V., Morozova, V. A.
openaire   +2 more sources

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.
openaire   +1 more source

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.
openaire   +1 more source

Distributed control in a class of nonlocal boundary-value problems

Journal of Mathematical Sciences, 1999
See the review in Zbl 0926.49001.
openaire   +2 more sources

On the Boundary Value Problems in Nonlocal Elasticity

1989
In this study we have discussed the definition of the boundary value problems in linear, isotropic, homogeneous, nonlocal elasticity proposed by Eringen. The discussion is based on the concept of weak solution which is widely used in the theory of partial differential equations. An inequality which is analogous to Korn’s First Inequality has been given
openaire   +1 more source