Results 1 to 10 of about 346 (179)
Bernstein collocation technique for a class of Sturm-Liouville problems [PDF]
HeliyonSturm-Liouville problems have yielded the biggest achievement in the spectral theory of ordinary differential operators. Sturm-Liouville boundary value issues appear in many key applications in natural sciences. All the eigenvalues for the standard Sturm-
Humaira Farzana +2 more
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]
Adv Sci (Weinh)Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X +6 more
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Fractal Sturm–Liouville Theory
Fractal and FractionalThis paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics.
Alireza Khalili Golmankhaneh +3 more
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On the spectral theory of singular indefinite Sturm–Liouville operators
Journal of Mathematical Analysis and Applications, 2007 We consider a singular Sturm-Liouville differential expression with an indefinite weight function and we show that the corresponding self-adjoint differential operator in a Krein space locally has the same spectral properties as a definitizable operator.
Jussi Behrndt
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Relative oscillation theory for Sturm–Liouville operators extended
Journal of Functional Analysis, 2008 We extend relative oscillation theory to the case of Sturm--Liouville operators $H u = r^{-1}(-(pu')'+q u)$ with different $p$'s. We show that the weighted number of zeros of Wronskians of certain solutions equals the value of Krein's spectral shift function inside essential spectral gaps.
Helge Kruger, Gerald Teschl
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Lietuvos Matematikos Rinkinys, 2021 Sturm-Liouville problem with nonlocal boundary conditions arises in many scientific fields such as chemistry, physics, or biology. There could be found some references to graph theory in a discrete Sturm-Liouville problem, especially in investigation of ...
Jonas Vitkauskas, Artūras Štikonas
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Research on singular Sturm–Liouville spectral problems with a weighted function
Boundary Value Problems, 2022 As early as 1910, Weyl gave a classification of the singular Sturm–Liouville equation, and divided it into the Limit Point Case and the Limit Circle Case at infinity. This led to the study of singular Sturm–Liouville spectrum theory. With the development
Shuning Tang
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On an Integral Equation with the Riemann Function Kernel
Axioms, 2022 This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations ...
Sergei Sitnik, Abdul Ahad Arian
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Mathematics, 2020 The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
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