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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…
Balasubramani Prema Rangasamy
We know Pascal’s triangle and planer graphs. They are mutually connected with each other. For any positive integer n, φ ( n ) is an even number. But it is not true for all even number, we could find some numbers which would not be the value of any φ ( n ). Th…
Alfred Wünsche
By means of expansions of rapidly in infinity decreasing functions in delta functions and their derivatives, we derive generalized boundary conditions of the Sturm-Liouville equation for transitions and barriers or wells between two asymptotic potentials for…
Khadijah Alamoudi, Mohmmad Said Hammoudeh
In this work, we will derive a numerical method of sixth order in space and second order in time for solving 3-coupled nonlinear Schr ö dinger equations. The numerical method is unconditionally stable. We use the exact single soliton solution and the con…
Levy K. Matindih, Edwin Moyo
The purpose of this paper is to introduce the notions of m -asymmetric semiopen sets and M -asymmetric semicontinuous multifunctions defined between asymmetric sets satisfying certain minimal conditions in the framework of bitopological spaces. Some new chara…
Paul Bracken
The properties of the first eigenvalue of a class of ( p , q ) Laplacian are investigated. A variational formulation for the first eigenvalue of the Laplacian on a closed Riemannian manifold is obtained. This eigenvalue corresponds to a nonlinear, coupled sys…
Dorin Ghisa
The purpose of this research is to extend to the functions obtained by meromorphic continuation of general Dirichlet series some properties of the functions in the Selberg class, which are all generated by ordinary Dirichlet series. We wanted to put to work t…
Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, Dennis Spellman
Let G be a group. G is right-orderable provided it admits a total order ≤ satisfying hg 1 ≤ hg 2 whenever g 1 ≤ g 2 . G is orderable provided it admits a total order ≤ satisfying both: hg 1 ≤ hg 2 whenever g 1 ≤ g 2 and g 1 h ≤ g 2 h whenever g 1 ≤ g 2 . A cl…
Md. Abdul Mannan, Moqbul Hossain, Halima Akter, Samiran Mondal
In this work, we will discuss Caristi’s fixed point theorem for mapping results introduced in the setting of normed spaces. This work is a generalization of the classical Caristi’s fixed point theorem. Also, Caristi’s type of fixed points theorem was partial…
Joel Mvendaga Orverem, Yusuf Haruna, Bala Ma’aji Abdulhamid, Magaji Yunbunga Adamu
The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications in various areas of study such as celestial mechanics, fluid mechanics, Steller structure, isothermal gas spher…
Haijun Kuang, Wanzhou Ye, Ze Zhu
As a new dimension reduction method, the two-dimensional principal component (2DPCA) can be well applied in face recognition, but it is susceptible to outliers. Therefore, this paper proposes a new 2DPCA algorithm based on angel-2DPCA. To reduce the reconstru…
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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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