Results 21 to 30 of about 238,932 (290)
Existence of two solutions for singular Φ-Laplacian problems
Advanced Nonlinear Studies, 2022 Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ\Phi -Laplacian operator, and the reaction term can be nonmonotone.
Candito Pasquale +2 more
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this note we prove the existence of mild solutions for nonlocal problems governed by semilinear second order differential inclusions which involves a nonlinear term driven by an operator.
Tiziana Cardinali, Giulia Duricchi
doaj +1 more source
Boundary Value Problems, 2018 We consider a one-dimensional perturbation of the convolution integro-differential operator of arbitrary order on a finite interval. The inverse problem of recovering the convolution component from the spectrum is studied, provided that the perturbation ...
S. A. Buterin, S. V. Vasiliev
doaj +1 more source
Infinitely many solutions for a gauged nonlinear Schrödinger equation with a perturbation
Nonlinear Analysis, 2021 In this paper, we use the Fountain theorem under the Cerami condition to study the gauged nonlinear Schrödinger equation with a perturbation in R2. Under some appropriate conditions, we obtain the existence of infinitely many high energy solutions for ...
Jiafa Xu, Jie Liu, Donal O'Regan
doaj +1 more source
Perturbation Theorems for a Multifrequency System with Pulses [PDF]
Journal of Mathematical Sciences, 2016 The paper deals with impulsive systems of differential equations defined in the direct product of an \(m\)-dimensional torus \(\mathcal{T}_m\) and an \(n\)-dimensional Euclidean space \(\mathbb{R}^n\): \begin{align*} & \frac{d\varphi}{dt} = a(\varphi), \tag{1}\\ & \frac{dx}{dt} = A(\varphi)x + f(\varphi), \;\varphi \in \mathcal{T}_m \setminus \Gamma ...
Feketa, P.V., Perestyuk, Y.M.
openaire +3 more sources
On Stewart's Perturbation Theorem for SVD
CoRRThis paper establishes a variant of Stewart's theorem (Theorem~6.4 of Stewart, {\em SIAM Rev.}, 15:727--764, 1973) for the singular subspaces associated with the SVD of a matrix subject to perturbations. Stewart's original version uses both the Frobenius and spectral norms, whereas the new variant uses the spectral norm and any unitarily invariant norm
Ren-Cang Li +2 more
openaire +5 more sources
International Journal of Mathematics and Mathematical Sciences, 2004 We extend the Putnam-Fuglede theorem and the second-degree Putnam-Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. Some asymptotic results are also given.
Yin Chen
doaj +1 more source
Journal of Inequalities and Applications, 2022 We provide upper bounds on the perturbation of invariant subspaces of normal matrices measured using a metric on the space of vector subspaces of C n $\mathbb{C}^{n}$ in terms of the spectrum of both unperturbed and perturbed matrices as well as the ...
Subhrajit Bhattacharya
doaj +1 more source
The Hopf bifurcation for nonlinear semigroups [PDF]
, 1973 Several authors, have shown by perturbation techniques that the Hopf theorem on the development of periodic stable solutions is valid for the Navier-Stokes equations; in particular, solutions near the stable periodic ones remain defined and smooth for ...
Marsden, J.
core +1 more source
On Perturbations of Generators of C0-Semigroups
Abstract and Applied Analysis, 2014 We present a perturbation result for generators of C0-semigroups which can be considered as an operator theoretic version of the Weiss-Staffans perturbation theorem for abstract linear systems.
Martin Adler +2 more
doaj +1 more source