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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus…
Yoon Kyung Park
Let E be an elliptic curve over a given number field . By Mordell ’ s Theorem, the torsion subgroup of E defined over Q is a finite group. Using Lutz-Nagell Theorem, we explicitly calculate the torsion subgroup E (Q) tors for certain elliptic curves depending…
Sopita Khamrod
The manuscript is devoted to the equivalence problem of the Painlevé equations. Conditions which are necessary and sufficient for second-order ordinary differential equations y ″ =F ( x ,y, y ′ ) to be equivalent to the first and second Painlevé equation unde…
Nabil L. Youssef, Amr Soleiman
The aim of the present paper is to investigate intrinsically the notion of a concircular π -vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsl…
Hailan Jin, Yongjie Piao
In this paper, we introduce a class Ψ of real functions defined on the set of non-negative real numbers, and obtain a new unique common fixed point theorem for four mappings satisfying Ψ-contractive condition on a non-complete 2-metric space and give the vers…
U-Hang Ki, Hiroyuki Kurihara
Let M be a real hypersurface of a complex space form with almost contact metric structure ( φ , ξ , η ,g ) . In this paper, we prove that if the structure Jacobi operator R ξ = (· , ξ ) ξ is φ ▽ ξ ξ -parallel and R ξ commute with the shape operator, then M is…
Keiichi Kikuchi
The periodic s 1 -equivariant hypersurfaces of constant mean curvature can be obtained by using the Lagrangians with suitable potential functions in the Berger spheres. In the corresponding Hamiltonian system, the conservation law is effectively applied to th…
Dong Ho Lim, Woon Ha Sohn, Hyunjung Song
In this paper, we study a real hypersurface M in a non-at 2-dimensional complex space form M 2 ( c ) with η -parallel Ricci and shape operators. The characterizations of these real hypersurfaces are obtained.
Francisco Bulnes
We consider generalizations of the Radon-Schmid transform on coherent D G/H -Modules, with the intention of obtaining the equivalence between geometric objects (vector bundles) and algebraic objects ( D -Modules) characterizing conformal classes in the space-…
Laid Chahrazed, Rahmani Fouad Lazhar
This paper addresses a time-delayed SIQRS model with a linear incidence rate. Immunity gained by experiencing the disease is temporary; whenever infected, the disease individuals will return to the susceptible class after a fixed period of time. First, the lo…
Lixia Cao
We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary value problem to Riemann boundary value problem, and address it by de…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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Manuscripts must be original and not under consideration elsewhere. Submit in Microsoft Word or LaTeX with figures at 300 dpi minimum. Structure research articles as Abstract, Introduction, Methods, Results, Discussion, and References.
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