Results 11 to 20 of about 510 (80)
On Mochizuki-Trooshin Theorem for Sturm-Liouville Operators
Cumhuriyet Science Journal, 2019 In this paper, theinverse spectral problems of Sturm-Liouville operators are considered. Some newuniqueness theorems and analogies of the Mochizuki-Trooshin Theorem are proved.2010 Mathematics Subject Classification. Primary34A55, 34B24; Secondary 34L05.
İbrahim Adalar
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Weyl asymptotics for perturbations of Morse potential and connections to the Riemann zeta function
Concrete Operators, 2023 Let N(T;V)N\left(T;\hspace{0.33em}V) denote the number of eigenvalues of the Schrödinger operator −y″+Vy-{y}^{^{\prime\prime} }+Vy with absolute value less than TT. This article studies the Weyl asymptotics of perturbations of the Schrödinger operator −y″
Rahm Rob
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, 2020 We consider nonlinearizable Sturm-Liouville problem indefinite weight function. We show the existence of two pairs of global continua emanating from the bifurcation intervals surrounding the principal eigenvalues of the corresponding linear problem and ...
Z. Aliyev, Leyla Nasirova
semanticscholar +1 more source
Alexandria Engineering Journal, 2020 In this paper, we introduce the notion of (ω-F)-contraction and presented fixed point results for such contractions. Thereafter, by using the technique of fixed point method, we propose a simple solution for a nonlinear integral equation.
Sumati Kumari Panda +2 more
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Connectedness of the Isospectral Manifold for One-Dimensional Half-Line Schr\"odinger Operators [PDF]
, 2003 Let V_0 be a real-valued function on [0,\infty) and V\in L^1([0,R]) for all R>0 so that H(V_0)= -\f{d^2}{dx^2}+V_0 in L^2([0,\infty)) with u(0)=0 boundary conditions has discrete spectrum bounded from below.
Gesztesy, Fritz, Simon, Barry
core +3 more sources
Spectral analysis for differential operators with singularities
Abstract and Applied Analysis, Volume 2004, Issue 2, Page 165-182, 2004., 2004 Nonselfadjoint boundary value problems for second‐order differential equations on a finite interval with nonintegrable singularities inside the interval are considered under additional sewing conditions for solutions at the singular point. We study properties of the spectrum, prove the completeness of eigen‐ and associated functions, and investigate ...
Vjacheslav Anatoljevich Yurko
wiley +1 more source
On the domain of selfadjoint extension of the product of Sturm‐Liouville differential operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 11, Page 695-709, 2003., 2003 The second‐order symmetric Sturm‐Liouville differential expressions τ1, τ2, …, τn with real coefficients are considered on the interval I = (a, b), −∞ ≤ a < b ≤ ∞. It is shown that the characterization of singular selfadjoint boundary conditions involves the sesquilinear form associated with the product of Sturm‐Liouville differential expressions and ...
Sobhy El-Sayed Ibrahim
wiley +1 more source
A sturm separation theorem for a linear 2n th order self‐adjoint differential equation
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 29-46, 1995., 1994 For the 2nth order equation, (−1) nv(2n) + qv = 0, with q continuous, we obtain a Sturm Separation theorem, involving n + 1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.
Charles T. Fulton +2 more
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Inverse problems for a class of Sturm-Liouville operators with the mixed spectral data
, 2017 In this paper, we study the inverse spectral problem for Sturm-Liouville equations with boundary conditions polynomially dependent on the spectral parameter and establish a uniqueness theorem with the mixed spectral data.
Yu Ping Wang
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An inverse problem related to a half-linear eigenvalue problem
Boundary Value Problems, 2014 We study an inverse problem on the half-linear Dirichlet eigenvalue problem −(|y′(x)|p−2y′(x))′=(p−1)λr(x)|y(x)|p−2y(x), where p>1 with p≠2 and r is a positive function defined on [0,1].
Wei-Chuan Wang, Yan-Hsiou Cheng
semanticscholar +2 more sources