Results 11 to 20 of about 122,737 (189)

Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]

open access: yesOpuscula Mathematica, 2013
It is shown that any \(\mu \in \mathbb{C}\) is an infinite multiplicity eigenvalue of the Steklov smoothing operator \(S_h\) acting on the space \(L^1_{loc}(\mathbb{R})\).
Serguei I. Iakovlev, Valentina Iakovleva
doaj   +1 more source

Investigation of spectrum curves for a Sturm-Liouville problem with two-point nonlocal boundary conditions

open access: yesMathematical Modelling and Analysis, 2020
The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on ...
Kristina Bingelė   +2 more
doaj   +1 more source

The zeros of az2J″ν(z)+bzJ′ν(z)+cJν(z) as functions of order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
If j″νk denotes the kth positive zero of the Bessel function J″ν(x), it has been shown recently by Lorch and Szego [2] that j″ν1 increases with ν in ν>0 and that (with k fixed in 2,3,…) j″νk increases in 00.
A. McD. Mercer
doaj   +1 more source

A new spectral theory for nonlinear operators and its applications

open access: yesAbstract and Applied Analysis, 1997
In this paper, by applying (p,k)-epi mapping theory, we introduce a new definition of spectrum for nonlinear operators which contains all eigenvalues, as in the linear case.
W. Feng
doaj   +1 more source

Eigenvalue Attraction [PDF]

open access: yesJournal of Statistical Physics, 2015
We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and discuss applications. C.c. pairs closest to the real axis, or those that are ill-conditioned, attract most
openaire   +4 more sources

A fully parallel method for tridiagonal eigenvalue problem

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1994
In this paper, a fully parallel method for finding all eigenvalues of a real matrix pencil (A,B) is given, where A and B are real symmetric tridiagonal and B is positive definite. The method is based on the homotopy continuation coupled with the strategy
Kuiyuan Li
doaj   +1 more source

Novel concepts in linear Diophantine fuzzy graphs with an application [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
The linear Diophantine fuzzy graph (LDFG) notion serves as a new mathematical approach for the ambiguity and uncertainty modeling in decision-making issues. An LDFG eliminates the strict limitations of various existing graphs. The energy concept in graph
Xiaolong Shi   +3 more
doaj   +1 more source

On the location of LQ-optimal closed-loop poles [PDF]

open access: yesModeling, Identification and Control, 1992
Inequalities which bound the closed-loop eigenvalues in an LQ-optimal system are presented. It is shown that the eigenvalues are bounded by two half circles with radii r1 and r2 and centre at -alpha less than or equal to 0, where alpha=0 is the imaginary
David Di Ruscio
doaj   +1 more source

Asymptotic Expansions of Eigenvalues of Periodic and Antiperiodic Boundary Problems for Singularly Perturbed Second Order Differential Equation with Turning Points

open access: yesМоделирование и анализ информационных систем, 2016
For a second order equation with a small factor at the highest derivative the asymptotic behavior of all eigenvalues of periodic and antiperiodic problems is studied. The main assumption is that the coefficient at the first derivative in the equation is the
S. A. Kashchenko
doaj   +1 more source

Asymptotic of Eigenvalues of Periodic and Antiperiodic Boundary Value Problem for Second Order Differential Equations

open access: yesМоделирование и анализ информационных систем, 2017
The article considers asymptotic distribution of characteristic constants in periodic and antiperiodic boundary-value problems for the second-order linear equation with periodic coefficients.
Sergey A. Kashchenko
doaj   +1 more source

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