Results 201 to 210 of about 77,285 (214)

A nonlocal problem with integral conditions

Mathematical Notes, 1996
For the equation \(u_{xy} +A(x,y)u_x +B(x,y)u_y +C(x,y)u =f(x,y)\) in the domain \(D=\{(x,y ...
N. D. Golubeva, L. S. Pul’kina
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The Hyperbolic-Elliptic Equation with the Nonlocal Condition [PDF]

AIP Conference Proceedings, 2011
The nonlocal boundary value problem for a hyperbolic‐elliptic equation {utt(t)+Au(t) = f(t), 0≤t≤1,−utt(t)+Au(t) = g(t), −1≤t≤0,u(−1) =  ∑ k = 1Pαku(θk)+φ ...
Allaberen Ashyralyev, Faruk Özger, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +5 more
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Stabilization of nonlocal solitons by boundary conditions

Optics Letters, 2014
We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Qi Guo, Wei Hu, Yiheng Li, Jing Wang
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Controllability of evolution inclusions with nonlocal conditions

Applied Mathematics and Computation, 2003
The authors study the following semilinear system: \[ \begin{aligned} & x'(t)- A(t) x(t)\in F(t, x(t))+ (Bu)(t)\qquad\text{a.e.
Guocheng Li, Xiaoping Xue
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Fuzzy differential equation with nonlocal condition

Fuzzy Sets and Systems, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuk-Hyeon Son, Jong Yeoul Park, Hyo Keun Han   +2 more
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The Eigenvalues of Some Problems with a Nonlocal Condition

Differential Equations, 2002
The author focuses attention to the case in which the system of eigenvectors of a finite difference operator with nonlocal conditions is complete.The results are used in the solution of a system of a finite difference equations by an iterative method with a Chebyshev set of iterative parameters. No numerical experiments are performed.
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A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
For a linear parabolic equation with the principal part in divergence form, a boundary-value problem with nonlocal (irregular) conditions of integral type is considered. Sufficient conditions of the unique solvability are found for the above-mentioned problem.
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Equilibrium conditions for nonlocal problems

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
The paper is concerned with obtaining generalized optimality conditions for a kind of nonlocal variational problems.
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Differential operators with nonlocal boundary conditions

Differential Equations, 2000
Inverse problems of spectral analysis are studied for boundary value problems generated by the Sturm-Liouville differential operator \[ \ell y:=y''+q(x)y, \quad ...
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An elliptic-parabolic problem with a nonlocal boundary condition

Archive for Rational Mechanics and Analysis, 1987
The authors derive a nonlinear elliptic-parabolic problem describing the one-dimensional flow of a liquid in an unsaturated porous medium. The originality of the model appears in a nonlocal boundary condition on the unknown, which is chosen to be the difference between the pressure of the liquid and the pressure of the gas filling the medium.
C.J. van Duijn, Josephus Hulshof
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