AbstractWe continue the study (initiated in [17]) of the spectral theory of the fourth-order eigenvalue problem[a(x)u″(x)]″=λρ(x)u(x),−∞<x<∞,where the functionsaandρare periodic and strictly positive. This equation models the transverse vibrations of a thin straight (periodic) beam whose physical characteristics are described byaandρ. The equality of the algebraic and geometric multiplicities of the periodic and antiperiodic eigenvalues is established. Also a spectrum-like set, that we called “pseudospectrum” or “ψ-spectrum,” is introduced (or, rather, discovered). Thisψ-spectrum is shown to lie on the negative real axis and have a band-gap structure. Various open questions and conjectures are mentioned at the end of the paper
AbstractIn this paper, we study the Fučik spectrum of the problem: (*) ẍ+(λ++q+(t))x++(λ−+q−(t))x−=0...
AbstractWe study the spectrum of the linear operator L=−∂θ−ϵ∂θ(sinθ∂θ) subject to the periodic bound...
Veliev, Oktay A. (Dogus Author)In this paper we obtain asymptotic formulas of arbitrary order for th...
AbstractWe continue the study (initiated in [17]) of the spectral theory of the fourth-order eigenva...
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam...
AbstractWe determine the essential spectrum of left-definite Sturm–Liouville problems with periodic ...
Let H = −∆+ V be defined on Rd with smooth potential V, such that V (x) = V (x+ n) , for all n ∈ Zd...
AbstractThis paper presents periodic analogs of the spectral and oscillation theory associated with ...
AbstractA network of N flexible beams connected by n vibrating point masses is considered. The spect...
AbstractThe spectral property of an Euler–Bernoulli beam equation with clamped boundary conditions a...
International audienceWe present a spectral method to compute the transverse vibrational modes, or F...
We consider Sturm-Liouville equation y″+(λ-q)y=0 where q∈L1[0, a]. We obtain various conditions on t...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. The free undamped infinitesimal transverse vibrations of a thin straight beam are modelled...
AbstractWe consider one-dimensional p-Laplacian eigenvalue problems of the form−Δpu=(λ−q)|u|p−1sgnu,...
AbstractIn this paper, we study the Fučik spectrum of the problem: (*) ẍ+(λ++q+(t))x++(λ−+q−(t))x−=0...
AbstractWe study the spectrum of the linear operator L=−∂θ−ϵ∂θ(sinθ∂θ) subject to the periodic bound...
Veliev, Oktay A. (Dogus Author)In this paper we obtain asymptotic formulas of arbitrary order for th...
AbstractWe continue the study (initiated in [17]) of the spectral theory of the fourth-order eigenva...
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam...
AbstractWe determine the essential spectrum of left-definite Sturm–Liouville problems with periodic ...
Let H = −∆+ V be defined on Rd with smooth potential V, such that V (x) = V (x+ n) , for all n ∈ Zd...
AbstractThis paper presents periodic analogs of the spectral and oscillation theory associated with ...
AbstractA network of N flexible beams connected by n vibrating point masses is considered. The spect...
AbstractThe spectral property of an Euler–Bernoulli beam equation with clamped boundary conditions a...
International audienceWe present a spectral method to compute the transverse vibrational modes, or F...
We consider Sturm-Liouville equation y″+(λ-q)y=0 where q∈L1[0, a]. We obtain various conditions on t...
This talk is a review of some results on spectrum and localized eigen functions of quasi-periodic Sc...
Abstract. The free undamped infinitesimal transverse vibrations of a thin straight beam are modelled...
AbstractWe consider one-dimensional p-Laplacian eigenvalue problems of the form−Δpu=(λ−q)|u|p−1sgnu,...
AbstractIn this paper, we study the Fučik spectrum of the problem: (*) ẍ+(λ++q+(t))x++(λ−+q−(t))x−=0...
AbstractWe study the spectrum of the linear operator L=−∂θ−ϵ∂θ(sinθ∂θ) subject to the periodic bound...
Veliev, Oktay A. (Dogus Author)In this paper we obtain asymptotic formulas of arbitrary order for th...