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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…
Nawal A. Al-Zaid, Huda O. Bakodah, Fathiah A. Hendi
In this paper the new modification of Laplace Adomian decomposition method (ADM) to obtain numerical solution of the regularized long-wave (RLW) equation is presented. The performance of the method is illustrated by solving two test examples of the problem. T…
Linfen Cao, Zhaohui Dai
In this paper, we discuss the integral equation on a half space R + n where is the reflection of the point x about the . We study the regularity for the positive solutions of (0.1). A regularity lifting method by contracting operators is used in proving the b…
Bin Zheng, Xiqiang Liu
For the (2 + 1) -dimensional Broer-Kaup system, we study the corresponding Lie symmetry groups, and obtain the symmetry group theorem and the Backlund transformation formula of solutions finding. At the same time, we find some new exact solutions of the (2 +…
Rajesh Kumar Saini, Archana Sharma
In recent times the fixed point results in partially ordered metric spaces has greatly developed. In this paper we prove common fixed point results for multivalued and singlevalued mappings in partially ordered metric space. Our theorems generalized the theor…
Mohammed Salih Mahdy Hussan
The concept of a fuzzy topology on a fuzzy set has been introduced in [1]. The aim of this work is to introduce fuzzy δ * -continuity and fuzzy δ ** -continuity in this in new situation and to show the relationships between fuzzy continuous functions where we…
Jyotindra C. Prajapati, Bhadresh I. Dave, Bharti V. Nathwani
In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function,…
Pierre Noundjeu
We consider the VEM system in the context of spherical symmetry and we try to establish a global static solutions with isotropic pressure that approaches Minkowski spacetime at infinity and have a regular center. To be in accordance with numerical investigati…
Will Murray
Let 0 ＜ γ ＜π be a fixed pythagorean angle. We study the abelian group H r of primitive integral triangles ( a,b,c ) for which the angle opposite side c is γ . Addition in H r is defined by adding the angles β opposite side b and modding out by π - γ . The onl…
Raj Kumar Kanwar
It is proposed to generalize the concept of the famous classical Cayley-Hamilton theorem for square matrices wherein for any square matrix A , the det ( A-xI ) is replaced by det f ( x ) for arbitrary polynomial matrix f ( x ) .
Jun Yuan, Lingzhi Zhao
In [1], the authors established the Brunn-Minkowski inequality for centroid body. In this paper, we give an isolate form and volume difference of it, respectively. Both of these results are strength versions of the original.
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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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