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…
Aleksander Grytczuk
In this paper we present some results connected with still open problem of Gauss, negative Pell’s equation and some type graphs.In particular we prove in the Theorem 1 that all real quadratic fields <i>K</i>=<i>Q</i>( ) , generated by Fermat’s numbers with <i…
Oh Sang Kwon
Making use of a multiplier transformation, which is defined by means of the Hadamard product (or convolution), we introduce some new subclasses of analytic functions and investigate their inclusion relationships and argument properties.
Jae Ho Choi
Making use of a linear operator I<sup>λ</sup><sub><i>p</i></sub>(<i>a</i>,<i>c</i>), which is defined here by means of the Hadamard product (or convolution), we introduce some new subclasses of multivalent functions and investigate various inclusion propertie…
Chang-Jun Li, Li-Jie Sun, Na Li
This paper gives the relationship between the positions of axes of the two nonparabolic elements that gener-ate a discrete group and these nature including the translation lengths along the axes and the rotation angles. we mainly research the intersecting pos…
Hong-Ya Gao, Chao Liu, Yu Zhang
Extremum principle for very weak solutions of <i>A</i>-harmonic equation <i>div A</i>(<i>x</i>,▽<i>u</i>)=0 is obtained, where the operator <i>A</i>:Ω × <i>R<sup>n</sup></i>→<i>R<sup>n</sup></i>satisfies some coercivity and controllable growth conditions with…
Fethi Soltani
We study the multiplication operator <i>M</i> by <i>z</i><sup>2</sup> and the <i>q</i>-Bessel operator Δ<sub><i>q,α</i></sub>on a Hilbert spaces F<sub><i>q,α</i></sub> of entire functions on the disk D( o, ) , 0<<i>q</i><1 ; and we prove that these operators…
Elhadi Ait Dads, Khalil Ezzinbi, Lahcen Lhachimi
In this work, we study the existence and uniqueness of pseudo almost periodic solutions for some difference equations. Firstly, we investigate the spectrum of the shift operator on the space of pseudo almost periodic sequences to show the main results of this…
Li Ma
In this survey paper, we firstly review some existence aspects of Lichnerowicz equation and Ginzburg-Landau equations. We then discuss the uniform bounds for both equations in Rn. In the last part of this report, we consider the Liouville type theorems for Li…
Yi Li
We studied the normality criterion for families of meromorphic functions which related to One-way sharing set, and obtain two normal criterions, which improve the previous results.
An-Min Mao, Miao-Miao Yang
We study the multiple existence of periodic solutions for a second-order non-autonomous dynamical systems (1). Using the method of invariant sets of descending flow and chain of rings theorem, we obtain the existence of seven -periodic solutions.
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).