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We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.

Stability of solutions of differential-operator and operator-difference equations with respect to perturbation of operators

B. S. Jovanović, S. V. Lemeshevsky, P. P. Matus, P. N. Vabishchevich (2007)

Kragujevac Journal of Mathematics

Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients.

RomanovskiJ, R.K., Mendziv, M.V. (2007)

Sibirskij Matematicheskij Zhurnal

Stability of standing waves for nonlinear Schrödinger equations with potentials

Reika Fukuizumi (2003/2004)

Séminaire Équations aux dérivées partielles

Stability of stationary solutions of parabolic variational inequalities

Quittner, P. (1990)

Equadiff 7

Stability of stochastic reaction-diffusion recurrent neural networks with unbounded distributed delays.

Huang, Chuangxia, Yang, Xinsong, He, Yigang, Huang, Lehua (2011)

Discrete Dynamics in Nature and Society

Stability of strong detonation waves and rates of convergence.

Li, Tong (1998)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stability of the Brown-Ravenhall operator.

Hoever, Georg, Siedentop, Heinz (1999)

Mathematical Physics Electronic Journal [electronic only]

Stability of the inverse problem in potential scattering at fixed energy

Plamen Stefanov (1990)

Annales de l'institut Fourier

We prove an estimate of the kind $∥ q_{1} - q_{2} ∥_{L^{\infty}} \leq C ϕ (∥ A_{q_{1}} - A_{q_{2}} ∥_{R, 3 / 2 - 1 / 2})$ , where $A_{q_{i}} (ω, θ)$ , $i = 1, 2$ is the scattering amplitude related to the compactly supported potential $q_{i} (x)$ at a fixed energy level $k =$ const., $ϕ (t) = (- ln t)^{- δ}$ , $0 < δ < 1$ and $∥ \cdot ∥_{R, 3 / 2 - 1 / 2}$ is a suitably defined norm.

Stability of the Lagrange-Galerkin method with non-exact integration

K. W. Morton, A. Priestley, E. Suli (1988)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Stability of the NLS equation with viscosity effect.

Karjanto, N., Tiong, K.M. (2011)

Journal of Applied Mathematics

Stability of the Pohožaev obstrucion in dimension 3

Olivier Druet, Paul Laurain (2010)

Journal of the European Mathematical Society

We investigate problems connected to the stability of the well-known Pohoˇzaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenberg [2] and more recently in the radial situation by Brezis and Willem [3].

Stability of the principal eigenvalue of a nonlinear elliptic system.

El Khalil, Abdelouahed, Ouanan, Mohammed, Touzani, Abdelfattah (2004)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Stability of traveling waves and a relation between the Evans function and the SLEP equation.

H. Suzuki, H. Ikeda, Y. Nishiura (1996)

Journal für die reine und angewandte Mathematik

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