Results 1 to 10 of about 675,086 (262)
A formula for the sum of $n$ weak$^\star $ closed sets in $L^\infty $
Comptes Rendus. Mathématique, 2023 In this note, we derive an equation which describes the closure of a particular set comprising $n-$valued functions. This result provides an answer to a long standing question for which the particular case $n=2$ had been known and used frequently in the ...
Zivari-Rezapour, Mohsen +2 more
doaj +1 more source
On a Class of Positive Definite Operators and Their Application in Fractional Calculus
Axioms, 2022 This paper is devoted to the spectral analysis of one class of integral operators, associated with the boundary value problems for differential equations of fractional order. Approximation matrices are also investigated.
Temirkhan Aleroev
doaj +1 more source
Adomian decomposition method for solving nonlinear fractional sturm-liouville problem
Cumhuriyet Science Journal, 2020 In the present paper, the Adomian decomposition method is employed for solving nonlinear fractional Sturm-Liouville equation. The numerical results for the eigenfunctions and the eigenvalues are obtained. Also, the present results are demonstrated by the
Ahu Ercan
doaj +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 We study a sequence of differential operators of high even order whose potentials converge to the Dirac delta-function. One of the types of separated boundary conditions is considered.
Sergei I. Mitrokhin
doaj +1 more source
Synchronizability of Multi-Layer Dual-Center Coupled Star Networks
Frontiers in Physics, 2021 In the research on complex networks, synchronizability is a significant measurement of network nature. Several research studies center around the synchronizability of single-layer complex networks and few studies on the synchronizability of multi-layer ...
Jian Zhu +4 more
doaj +1 more source
Eigenvalue-eigenfunction problem for Steklov's smoothing operator and differential-difference equations of mixed type [PDF]
Opuscula 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
Mathematical 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
International 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
On the location of LQ-optimal closed-loop poles [PDF]
Modeling, 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
A new spectral theory for nonlinear operators and its applications
Abstract 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