Results 61 to 70 of about 11,653 (147)
On the solvability of the Sturm – Liouville problem, nonlinear in the spectral parameter
Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The paper studies the solvability of the Sturm-Liouville problem, which is nonlinear in the spectral parameter. The problem is studied on a segment with boundary conditions of the third kind. Materials and methods.
G.V. Chalyshov
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Electronic Journal of Differential Equations, 2016 Summary: We study a class of generalized BVP's consisting of discontinuous Sturm-Liouville equation on finite number disjoint intervals, with usual boundary conditions and supplementary transmission conditions at finite number interior points. The asymptotic behaviors of the eigenvalues and eigenfunctions are discussed.
Aydemir, Kadriye, Mukhtarov, Oktay S. H.
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Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]
Constr Approx, 2023 Dick J +3 more
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Mathematische Zeitschrift, 1995 The superlinear \((p> 1)\) non-autonomous Sturm-Liouville problem \(- u''+ k(x) u^p= \lambda u\) in \((0, 1)\), \(u(0)= u(1)= 0\) is studied from the standpoint of \(L^2\)-theory. For the solution \((\lambda, u_\lambda)\) \((\lambda> \pi^2, u_\lambda> 0)\), the bifurcation diagram in \(L^2\times \mathbb{R}\) is investigated.
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Mathematical Modelling and Analysis, 2017 We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter. We obtain two terms of the asymptotic expansion of simple eigenvalues of this problem for α → +∞.
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Mixing Rates of the Geometrical Neutral Lorenz Model. [PDF]
J Stat Phys, 2023 Bruin H, Canales Farías HH.
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Asymptotic formulas for eigenvalues and eigenfunctions of a new boundary-value-transmission problem
, 2013 In this paper we are concerned with a new class of BVP' s consisting of eigendependent boundary conditions and two supplementary transmission conditions at one interior point. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigenfunction.
Mukhtarov, O. Sh., Aydemir, K.
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Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain. [PDF]
Arch Ration Mech Anal, 2023 Choi B, McCann RJ, Seis C.
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Journal of Zankoy Sulaimani - Part A, 2018 This paper addresses an eigenvalue problem generated by sixth order differential equations with suitable boundary conditions, which contain a spectral parameter. The asymptotic expressions for sixth order linearly independent solutions as well as new asymptotic formulas for the eigenvalues with eigenfunctions of the boundary value problem are obtained.
Karwan Jwamer, Khelan Qadr
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Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]
Entropy (Basel), 2022 Dehesa JS.
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