AbstractTwo-term Weyl-type asymptotic law for the eigenvalues of the one-dimensional fractional Laplace operator (−Δ)α/2 (α∈(0,2)) in the interval (−1,1) is given: the n-th eigenvalue is equal to (nπ/2−(2−α)π/8)α+O(1/n). Simplicity of eigenvalues is proved for α∈[1,2). L2 and L∞ properties of eigenfunctions are studied. We also give precise numerical bounds for the first few eigenvalues
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
AbstractWe consider an asymptotic spectral problem for a second order differential operator, with pi...
AbstractLet Ω be an open, bounded domain in R2 with connected and C∞ boundary, and ω a solution of(0...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractWe consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the s...
AbstractWe consider the operator of taking the 2pth derivative of a function with zero boundary cond...
AbstractThe Mathieu operator L(y)=−y″+2acos(2x)y,a∈C,a≠0, considered with periodic or anti-periodic ...
We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on...
AbstractWe consider Hill's equation y″+(λ−q)y=0 where q∈L1[0,π]. We show that if ln—the length of th...
AbstractIn this paper we study the existence of 2π-periodic solutions of−(|x′|p−2x′)′=λ|x|p−2x+f(t),...
AbstractWe construct the spectral expansion for the one-dimensional Schrödinger operatorL=−d2dx2+q(x...
AbstractWe consider the van der Pol equation d2dt2u(t)−εddtu(t)+εu2(t−r)ddtu(t−r)+u(t)=0 with the de...
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue ...
The paper considers the eigenvalue problem -Δu-αu+λg(x)u=0 withu∈H1(RN),u≠0 where ∞, λ ∈ and g(x)≡0...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
AbstractWe consider an asymptotic spectral problem for a second order differential operator, with pi...
AbstractLet Ω be an open, bounded domain in R2 with connected and C∞ boundary, and ω a solution of(0...
We study an eigenvalue problem for the Laplace operator with a boundary condition containing a param...
AbstractWe consider a fourth-order eigenvalue problem on a semi-infinite strip which arises in the s...
AbstractWe consider the operator of taking the 2pth derivative of a function with zero boundary cond...
AbstractThe Mathieu operator L(y)=−y″+2acos(2x)y,a∈C,a≠0, considered with periodic or anti-periodic ...
We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on...
AbstractWe consider Hill's equation y″+(λ−q)y=0 where q∈L1[0,π]. We show that if ln—the length of th...
AbstractIn this paper we study the existence of 2π-periodic solutions of−(|x′|p−2x′)′=λ|x|p−2x+f(t),...
AbstractWe construct the spectral expansion for the one-dimensional Schrödinger operatorL=−d2dx2+q(x...
AbstractWe consider the van der Pol equation d2dt2u(t)−εddtu(t)+εu2(t−r)ddtu(t−r)+u(t)=0 with the de...
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue ...
The paper considers the eigenvalue problem -Δu-αu+λg(x)u=0 withu∈H1(RN),u≠0 where ∞, λ ∈ and g(x)≡0...
AbstractLetA=H1E∗EH2andA∼=H1OOH2 be Hermitian matrices with eigenvalues λ1⩾⋯⩾λk and λ∼1⩾⋯⩾λ∼k, respe...
AbstractLet Ej be the eigenvalues outside [-2,2] of a Jacobi matrix with an-1∈ℓ2 and bn→0, and μ′ th...
AbstractWe consider an asymptotic spectral problem for a second order differential operator, with pi...
AbstractLet Ω be an open, bounded domain in R2 with connected and C∞ boundary, and ω a solution of(0...
DOI
Add to ORKG