ArticlesArchiveAboutEditorial BoardAuthor Guidelines
Call for papersThe 2026 special issue on Climate & Health is open for submissions.Learn more
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…
Natalia C. Bustos, Miguel A. Ré
It is presented here a continuous time random walk model for diffusion mediated reactions with both species mobile. The random walk is carried out over an infinite homogeneouos lattice. They are calculated the probability density for the time of reaction of a…
Daniel C. Mayer
Based on a general theory of descendant trees of finite p -groups and the virtual periodicity isomorphisms between the branches of a coclass subtree, the behavior of algebraic invariants of the tree vertices and their automorphism groups under these isomorphi…
Lukas Degu Petros
Global existence of classical solutions to the relativistic Vlasov-Maxwell system, given sufficiently regular initial data, is a long-standing open problem. The aim of this project is to present in details the results of a paper published in 1986 by Robert Gl…
Thomas Beatty, Marc Barry, Andrew Orsini
We present an intuitively satisfying geometric proof of Fermat's result for positive integers that for prime moduli p , provided p does not divide a . This is known as Fermat’s Little Theorem. The proof is novel in using the idea of colorings applied to regul…
Jin Yao, Karl E. Nelson
A one-dimensional monotone interpolation method based on interface reconstruction with partial volumes in the slope-space utilizing the Hermite cubic-spline, is proposed. The new method is only quartic, however is C 2 and unconditionally monotone. A set of co…
Guoguang Lin, Lingjuan Hu
In this paper, we investigate the finite dimensions of the global attractor for nonlinear higher-order coupled Kirchhoff type equations with strong linear damping in Hilbert spaces <i>E</i><SUB>0</SUB> and <i>E</i><SUB>1</SUB> . Under the appropriate assumpti…
Guoguang Lin, Ming Zhang
This paper deals with the Hausdorff dimensions of the global attractor for a class of Kirchhoff-type coupled equations with strong damping and source terms. We obtain a precise estimate of upper bound of Hausdorff dimension of the global attractor.
Alfred Wünsche
After developing the concept of displaced squeezed vacuum states in the non- unitary approach and establishing the connection to the unitary approach we calculate their quasiprobabilities and expectation values in general form. Then we consider the displaceme…
Jianquan Liao, Jinxun Wang
Given two left O c -analytic functions f , g in some open set Ω of R 8 , we obtain some sufficient conditions for fg is also left O c -analytic in Ω . Moreover, we prove f λ that is a left O c -analytic function for any constants λ ∈ O c if and only if is a c…
Hongwei Ji
By using the fixed point theorem under the case structure, we study the existence of sign-changing solutions of A class of second-order differential equations three-point boundary-value problems, and a positive solution and a negative solution are obtained re…
No articles in this issue.
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.
Authors submit their manuscript, metadata, and declarations through the portal. There is no submission fee.
The editorial office screens the manuscript for scope, completeness, and formatting before assigning a handling editor.
At least two independent reviewers evaluate the manuscript under single-blind review. Where revisions are required, authors respond point by point.
On acceptance the article processing charge is invoiced and the CC BY 4.0 copyright handover is signed.
The article is copyedited, typeset, and given a DOI, then publishes open access with a permanent link.
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.
Use the journal's numbered (Vancouver) reference style. Cite sources consecutively in the order they appear, and ensure every reference is complete and retrievable.
Declare all funding sources, conflicts of interest, and ethical approvals (including informed consent and animal-care statements where applicable).