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• [1] Andrews, B., Clutterbuck, J., Hauer, D., The fundamental gap for a one-dimensional Schr¨odinger operator with Robin boundary conditions, arXiv:2002.06900 [math.CA], (2020).
• [2] Ashbaugh M. S., Benguria, R., Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schr¨odinger operators with symmetric single-well potentials and related results, Proceedings of the American Mathematical Society, 105(1989), 419–424.
• [3] Ashbaugh, M. S., Kielty, D., Spectral gaps of 1-D Robin Sch¨odinger operators with single well potentials, Journal of Mathematical Physics, 61 (9)(2020), 091507.
• [4] Bas¸kaya, E., Asymptotics of eigenvalues for Sturm-Liouville problem with eigenparameter-dependent boundary conditions, New Trends in Mathematical Sciences, 6(2)(2018), 247–257.
• [5] Capała, K., Dybiec, B., Multimodal stationary states in symmetric single-well potentials driven by Cauchy noise, Journal of Statistical Mechanics: Theory and Experiment, 2019(2019), 033206.
• [6] Chen, W.-C., Cheng, Y.-H., Remarks on the one-dimensional sloshing problem involving the p-Laplacian operator, Turkish Journal of Mathematics, 44(2020), 1376–1387.
• [7] Chen, D.- Y., Huang, M.- J., Comparison theorems for the eigenvalue gap of Schr¨odinger operators on the real line, Annales Henri Poincar´e, 13(2011), 85–101.
• [8] Ciesla, M., Capała, K., Dybiec, B., Multimodal stationary states under Cauchy noise, Physical Review E, 99(2019), 052118.
• [9] Coşkun, H., Bas¸kaya, E., Asymptotics of eigenvalues of regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Mathematica Scandinavica, 107(2017), 209–223.
• [10] Coşkun, H., Bayram, N., Asymptotics of eigenvalues for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition, Journal of Mathematical Analysis and Applications, 306(2)(2005), 548–566.
• [11] Coşkun, H., Kabatas¸, A., Asymptotic approximations of eigenfunctions for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Mathematica Scandinavica, 113(1)(2013), 143–160.
• [12] Coşkun, H., Kabatas¸, A., Green’ s function of regular Sturm-Liouville problem having eigenparameter in one boundary condition, Turkish Journal of Mathematics and Computer Science, 4(2016), 1–9.
• [13] Coşkun, H., Kabatas¸, A., Bas¸kaya, E., On Green’ s function for boundary value problem with eigenvalue dependent quadratic boundary condition, Boundary Value Problems, 71(2017).
• [14] Coşkun, H., Bas¸kaya, E., Kabatas¸, A., Instability intervals for Hill’ s equation with symmetric single well potential, Ukrainian Mathematical Journal, 71(6)(2019), 977–983.
• [15] Fulton, C., Two point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proceedings of the Royal Society of Edinburgh, 77A(1977), 293–308.
• [16] Fulton, C., Singular eigenvalue problems with eigenvalue parameter contained in the boundary conditions, Proceedings of the Royal Society of Edinburgh, 87A(1980), 1–34.
• [17] Guliyev, N. J., Schr¨odinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter, Journal of Mathematical Physics, 60(6)(2019), 063501.
• [18] Guliyev, N. J., Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin, arXiv:2001.00061 [math-ph], 2019.
• [19] Guliyev, N. J., Essentially isospectral transformations and their applications, Annali di Matematica Pura ed Applicata, 199(2020), 1621–1648.
• [20] Guliyev, N. J., On two-spectra inverse problems, Proceedings of the American Mathematical Society, 148(2020), 4491–4502.
• [21] Haaser, N. B., Sullivian, J. A., Real Analysis, Van Nostrand Reinhold Company, New York, 1991.
• [22] Hinton, D. B., Eigenfunction expansions for a singular eigenvalue problem with eigenparameter in the boundary condition, SIAM Journal on Mathematical Analysis, 12(1981), 572-584.
• [23] Horvath, M., On the first two eigenvalues of Sturm-Liouville Operators, Proceedings of the American Mathematical Society, 131(4)(2002), 1215–1224.
• [24] Huang, M. J., The first instability interval for Hill equations with symmetric single well potentials, Proceedings of the American Mathematical Society, 125(1997), 775–778.
• [25] Huang, M. J., Tsai, T. M., The eigenvalue gap for one-dimensional Schrodinger operators with symmetric potentials, Proceedings of the Royal Society of Edinburgh Section A, 139(2009), 359–366.
• [26] Kerner, J., T¨aufer, M., On the spectral gap of one-dimensional Schrödinger operators on large intervals, arXiv:2012.09060 [math.SP], 2020.
• [27] Mandrysz, M., Dybiec, B., Energetics of single-well undamped stochastic oscillators, Physical Review E, 99(1)(2019), 012125.
• [28] Messori, C., Deep into the Water: Exploring the Hydro-Electromagnetic and QuantumElectrodynamic Properties of Interfacial Water in Living Systems, Open Access Library Journal, 6 (2019), e5435.