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Eigenvalue ratios for Sturm–Liouville problems
Journal of Mathematical PhysicsIn this paper, we prove the optimal lower bound λ2λ1≥4 of the Sturm-Liouville problem −(p(x)y′)′ + q(x)y = λρ(x)y, with Dirichlet boundary conditions for single-well potential q and single-barrier function pρ on [0,1]. In the case of symmetric coefficients, we establish the lower bound λnλ1≥n2 for single-well q and single-barrier function pρ with λ1 ...
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A new application of the homotopy analysis method: Solving the Sturm–Liouville problems
Communications in Nonlinear Science and Numerical Simulation, 2011S Abbasbandy, Ahmad Shirzadi
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Dependence of eigenvalues of Sturm– Liouville problems with interface conditions
Applied Mathematics and Computation, 2015Maozhu Zhang, Yicao Wang
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The finite spectrum of Sturm–Liouville problems with transmission conditions
Applied Mathematics and Computation, 2011Ji-Jun Ao, Jiong Sun
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Fractional Sturm–Liouville boundary value problems in unbounded domains: Theory and applications
Journal of Computational Physics, 2015Hassan Khosravian-Arab +2 more
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