Results 1 to 10 of about 3,224 (219)

Singularly perturbed rank one linear operators

open access: yesМатематичні Студії, 2021
The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
doaj   +1 more source

Multiparameter perturbation theory of matrices and linear operators [PDF]

open access: yesTransactions of the American Mathematical Society, 2020
We show that a normal matrix A A with coefficients in C [ [ X ] ] \mathbb {C}[[X]] , X = ( X 1 , … , X n ) X=(X_1, \ldots , X_n) , can ...
Parusiński, Adam, Rond, Guillaume
openaire   +3 more sources

Global Perturbation of Nonlinear Eigenvalues

open access: yesAdvanced Nonlinear Studies, 2021
This paper generalizes the classical theory of perturbation of eigenvalues up to cover the most general setting where the operator surface 𝔏:[a,b]×[c,d]→Φ0⁢(U,V){\mathfrak{L}:[a,b]\times[c,d]\to\Phi_{0}(U,V)}, (λ,μ)↦𝔏⁢(λ,μ){(\lambda,\mu)\mapsto\mathfrak ...
López-Gómez Julián   +1 more
doaj   +1 more source

On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators

open access: yesCubo, 2021
The main goal of this work is to examine the periodic dynamic behavior of some retarded periodic partial differential equations (PDE). Taking into consideration that the linear part realizes the Hille-Yosida condition, we discuss the Massera’s problem to
Abdelhai Elazzouzi   +2 more
doaj   +1 more source

On the nonlinear perturbations of self-adjoint operators

open access: yesAdvances in Nonlinear Analysis, 2022
Using elements of the theory of linear operators in Hilbert spaces and monotonicity tools we obtain the existence and uniqueness results for a wide class of nonlinear problems driven by the equation Tx=N(x)Tx=N\left(x), where TT is a self-adjoint ...
Bełdziński Michał   +2 more
doaj   +1 more source

Spectral theory for structured perturbations of linear operators [PDF]

open access: yesJournal of Spectral Theory, 2018
We characterize the spectrum (and its parts) of operators which can be represented as " G=A+BC“ for a "simpler" operator A and a structured perturbation
ENGEL, KLAUS JOCHEN OTTO, Adler, Martin
openaire   +3 more sources

The ChPT: top-down and bottom-up

open access: yesJournal of High Energy Physics, 2021
In this work, higher-derivative corrections of the non-linear sigma model of both even and odd intrinsic-parity sectors are systematically studied, focusing on ordered amplitudes of flavor scalars in massless limit. It should correspond to a theory known
Karol Kampf
doaj   +1 more source

Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations

open access: yesNonautonomous Dynamical Systems, 2022
In this work, we study the existence of periodic solutions for a class of linear partial functional differential equations with infinite delay. Inspiring by an existing study, by applying the perturbation theory of semi-Fredholm operators, we introduce a
Elazzouzi Abdelhai   +2 more
doaj   +1 more source

Nonlinear differential equations with perturbed Dirichlet integral boundary conditions

open access: yesBoundary Value Problems, 2021
This paper is devoted to prove the existence of positive solutions of a second order differential equation with a nonhomogeneous Dirichlet conditions given by a parameter dependence integral.
Alberto Cabada, Javier Iglesias
doaj   +1 more source

Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems

open access: yesOpen Mathematics, 2021
This work intends to treat the existence of mild solutions for the Hilfer fractional hybrid differential equation (HFHDE) with linear perturbation of first and second type in partially ordered Banach spaces. First, we establish the results concerning the
Gabeleh Moosa   +3 more
doaj   +1 more source

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