Remarks on the Periodic Conformable Sturm–Liouville Problems
نویسندگان
چکیده
The conformable Sturm–Liouville problem (CSLP), − x 1 α p y ′ = λ ρ q , for id="M2"> 0 < ≤ is studied under some certain conditions on the coefficients id="M3"> id="M4"> and id="M5"> . According to an interesting idea proposed by P. Binding H. Volkmer [Binding et al., 2012, 2013], we will derive how reduce periodic or antiperiodic (CSLP) analysis of Prüfer angle. eigenvalue interlacing property related be given.
منابع مشابه
Some Remarks on Almost Periodic Transformations
1. Recurrent and almost periodic transformations. Notations. Let ƒ be a continuous mapping (not necessarily a homeomorphism) of a topological space X in itself (that is, f(X)QX). We say that ƒ is recurrent a t a point # £ X , or that x is recurrent under ƒ, if, given any neighbourhood U(x) of x, there exist infinitely many positive integers n for which f(x)ÇE.U(x). (This definition is equivalen...
متن کاملRemarks on optimal design problems
One discusses some problems of optimal design for a diffusion equation, when the functional to minimize contains a term in |grad(t*)|. Introduction A little more than 20 years ago, following the discovery by FYan$ois MURAT of some counterexamples [la-lb], we set up the mathematical basis of a new method for solving some optimal design problems with distributed parameters [2]. The lack of existe...
متن کاملRemarks on Braid Theory and the characterisation of periodic orbits
The relationship between Braid Theory and the organisation of periodic orbits of dynamical systems is considered. It is shown that for some (physically relevant) 3-d flows the characterisation of periodic orbits by means of Braid Theory can be done on the Poincaré surface in an efficient way. The result is a thread-less graphical presentation of a braid class. We discuss extensions of this appr...
متن کاملRemarks on "some Problems in Conformal Mapping"
1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to justify this statement we observe first that...
متن کاملRemarks on Elliptic Curve Discrete Logarithm Problems
The MOV and FR algorithms, which are representative attacks on elliptic curve cryptosystems, reduce the elliptic curve discrete logarithm problem (ECDLP) to the discrete logarithm problem in a finite field. This paper studies these algorithms and introduces the following three results. First, we show an explicit condition under which the MOV algorithm can be applied to non-supersingular ellipti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Complexity
سال: 2023
ISSN: ['1099-0526', '1076-2787']
DOI: https://doi.org/10.1155/2023/7656491