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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…
Murphy E. Egwe
Let IH n be the (2 n +1) -dimensional Heisenberg group. In this paper, we shall give among other things, the properties of some homogeneous norms relative to dilations on the IH n and prove the equivalence of these norms.
Wadie Aziz
In this paper we consider the Nemytskii operator, i.e ., the composition operator defined by ( Nf )( t )= H ( t , f ( t )) , where H is a given set-valued function. It is shown that if the operator N maps the space of functions bounded φ 1 -variation in the s…
Leo Depuydt
The design of this paper is to present the first installment of a complete and final theory of rational human intelligence. The theory is mathematical in the strictest possible sense. The mathematics involved is strictly digital—not quantitative in the manner…
Mujahid Abd Elmjed M-Ali
This paper studies the global behavior defocusing nonlinear Schrodinger equation in dimension d = 2, and we will discuss the case . This means that the solutions , and called critical solution. We show that u scatters forward and backward to a free solution a…
Sied Hossein Akbarzadeh, Mahdi Iranmanesh
In this paper , we find a way to give best simultaneous approximation of n arbitrary points in convex sets . First , we introduce a special hyperplane which is based on those n points . Then by using this hyperplane , we define best approximation of each poin…
Lakhdar Meziani, Saud M. Alsulami
Let X be a topological vector space and let S be a locally compact space. Let us consider the function space of all continuous functions , vanishing outside a compact set of S , equipped with an appropriate topology. In this work we will be concerned with the…
Hongyan Li
In this paper we consider the existence of a global periodic attractor for a class of infinite dimensional dissipative equations under homogeneous Dirichlet boundary conditions. It is proved that in a certain parameter, for an arbitrary timeperiodic driving f…
Vicente Soler Basauri
In this comment we will demonstrate that one of the main formulas given in Ref. [ 1 ] is incorrect.
Deena Al-Kadi
In this paper, we determine the second Hochschild cohomology group for a class of self-injective algebras of tame representation type namely, which are standard one-parametric but not weakly symmetric. These were classified up to derived equivalence by Bocian…
Ülkü Dinlemez
We consider the initial-boundary value problem for a nonlinear wave equation with strong structural damping and nonlinear source terms in IR. We prove the global existence and uniqueness of weak solutions of the problem and then we will study the determining…
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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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