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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…
Yonghua Ren, Jianwen Zhang
This work studies the global attractor for the process generated by a non-autonomous beam equation u tt +△ 2 u+ηu t -[β(t)+M(∫ Ω |▽u(x,t)| 2 dx)] △u+g(u, t)=f (x,t) Based on a time-uniform priori estimate method, we first in the space H 0 2 (Ω) × L 2 (Ω) esta…
M. E. Egwe
Let IH n be the (2n+1) -dimensional Heisenberg group and let L α and be the sublaplacian and central element of the Lie algebra of IH n respectively. Forα=0 denote by L 0 =L the Heisenberg Laplacian and let K ∈Aut(IH n ) be a compact subgroup of Au-tomorphism…
Yousry S. Hanna, Samya F. Ragheb
In different fields in space researches, Scientists are in need to deal with the product of matrices. In this paper, we develop conditions under which a product П i=0 ∞ of matrices chosen from a possibly infinite set of matrices M={P j , j∈J} converges. There…
Lamis J. M. Abulebda
In this paper we introduced a definition for the primary radical of a submodule with some of its basic properties. We also define the P-radical submodule and review some results about it. We find a method to characterize the primary radical of a finitely gene…
Aydin Tiryaki
In this paper we give sufficient conditions so that for every nonoscillatory u(t) solution of (r(t)ψ(u)u')'+Q(t,u,u'), we have lim inf|u(t)|=0. Our results contain the some known results in the literature as particular cases.
Mohamed Sabri Salem Ali
The aim of this paper is to prove that the average function of a trigonometrically ρ -convex function is trigonometrically ρ -convex. Furthermore, we show the existence of support curves implies the trigonometric ρ -convexity, and prove an extremum property o…
Xueyuan Zhou, Guoju Ye
We apply the distributional derivative to study the existence of solutions of the second order periodic boundary value problems involving the distributional Henstock-Kurzweil integral. The distributional Henstock-Kurzweil integral is a general intergral, whic…
Amnah Shammaky
In this investigation, we obtain some applications of first order differential subordination and superordination results involving an extended multiplier transformation and other linear operators for certain normalized analytic functions. Some of our results…
Mohammad Sadegh Asgari, Seyedeh Sara Karimizad, Hamidreza Rahimi
In this paper we develop the orthogonal projections and e-projections in Banach algebras. We prove some necessary and sufficient conditions for them and their spectrums. We also show that the sum of two generalized orthogonal projections u and v is a generali…
Xiuming Mo, Ping Jing, Yan Zhao, Anmin Mao
We consider the existence of a nontrivial solution for the Dirichlet boundary value problem -△u+a(x)u=g(x,u), in Ω u =0, on Ω We prove an abstract result on the existence of a critical point for the functional f on a Hilbert space via the local linking theore…
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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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