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On Solvability Of The Integro-Differential Equations, Faez N. Ghaffoori Apr 2022

On Solvability Of The Integro-Differential Equations, Faez N. Ghaffoori

Al-Qadisiyah Journal of Pure Science

In this paper, we study the existence of solution to integro-differential equations in the space of Lebesgue-integrable on un-bounded interval after transformed to nonlinear integral functional equation, the used tool is the fixed point theorem due to Schauder with weak measure of non compactness, due to De-Blasi. In addition, we give an example which satisfies the conditions of our existence theorem.


The Cyclic Decomposition Of Cf(Q_14×C_2p)/ R ̅(Q_14×C_2p), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer Apr 2022

The Cyclic Decomposition Of Cf(Q_14×C_2p)/ R ̅(Q_14×C_2p), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer

Al-Qadisiyah Journal of Pure Science

In this paper, we propose the cyclic decomposition of the factor group , and the group is Z-valued class functions of the direct product group under the operation of addition, and is the subgroup of the generalized characters of the group .Then is an abelian factor group denoted by where is the quaternion group of order and is the cyclic group of order . Also, we find the rational valued characters table of the group when and prime numbers and is given as follows


Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents, Erhan Pişkin, Veysel Butakın Apr 2022

Blow Up Of Solutions For Viscoelastic Wave Equations Of Kirchhoff Type With Variable Exponents, Erhan Pişkin, Veysel Butakın

Al-Qadisiyah Journal of Pure Science

In this paper, we consider a viscoelastic wave equation of Kirchhoff type with variable exponents. We show that under suitable conditions on the initial data and initial energy, the energy of solutions blow up in finite time with negative initial energy.


About Some Numerical Semigroupswith Embedding Dimension Three, Ahmet Çelik, Mehmet Sait Alakuş, Sedat İlhan Apr 2022

About Some Numerical Semigroupswith Embedding Dimension Three, Ahmet Çelik, Mehmet Sait Alakuş, Sedat İlhan

Al-Qadisiyah Journal of Pure Science

we will examine a family of numerical semigroups embedding dimension three, such that S_u=< 8,8u+2,8u+9> where u >=1, u is integer . Also, we will give some relations between these semigroups and their Arf closure.


Global Existence And Growth Of Solutions To Coupled Degeneratly Damped Klein-Gordon Equations, Fatma Ekinci, Erhan Pişkin Apr 2022

Global Existence And Growth Of Solutions To Coupled Degeneratly Damped Klein-Gordon Equations, Fatma Ekinci, Erhan Pişkin

Al-Qadisiyah Journal of Pure Science

We study a system of nonlinear Klein-Gordon equations with viscoelastic and degenerate damping in a bounded domain. We prove the global existence and exponential growth of solutions with negative initial energy.


The Cyclic Decomposition Of Cf(Q_4q×C_5)/ R ̅(Q_4q×C_5), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer Apr 2022

The Cyclic Decomposition Of Cf(Q_4q×C_5)/ R ̅(Q_4q×C_5), Naseer Rasool Albakaa, Habeeb Kareem Al-Bdairi, Neeran Tahir Abd Alameer

Al-Qadisiyah Journal of Pure Science

In this paper, we propose the cyclic decomposition of the factor group , and the group is Z-valued class functions of the direct product group under the operation of addition, and is the subgroup of the generalized characters of the group .Then is an abelian factor group denoted by where is the quaternion group of order and is the cyclic group of order . Also, we find the rational valued characters table of the group when is prime numbers is given as follows


The Numerical Solution For Solving Nth Order Integro-Differential Equations Via Boubaker Scaling Functions, Eman Hassan Ouda Apr 2022

The Numerical Solution For Solving Nth Order Integro-Differential Equations Via Boubaker Scaling Functions, Eman Hassan Ouda

Al-Qadisiyah Journal of Pure Science

In this paper, the continuous Boubaker scaling functions were constructed with the presentation on the interval [0,1], which obtained depending on Boubaker polynomials. In this current study the Boubaker scaling polynomial has been applied for solving the nth order integro–differential equations (IDE’s). The collocation method with the aid of Boubaker scaling functions together were utilized to transform the higher order integro–differential equations into a problem of linear system algebraic equations. Some numerical examples were added to show the simplicity and accuracy of the proposed technique. The results have been compared with the exact solution using Matlab and illustrated by graphs.


Some Properties Of Almost Periodic Points In A Random Dynamical System, Qays Arif Wali, Ihsan Jabbar Apr 2022

Some Properties Of Almost Periodic Points In A Random Dynamical System, Qays Arif Wali, Ihsan Jabbar

Al-Qadisiyah Journal of Pure Science

The aim of this paper is to study of almost periodic points in random dynamical systems. Some of their characteristics were studied and theirs highlighted relationship with someconcepts in random dynamical systems such as periodic points as well as minimalset


Generalized Permuting Tri-Derivations On Lattices, Mazen Omran Karim Apr 2022

Generalized Permuting Tri-Derivations On Lattices, Mazen Omran Karim

Al-Qadisiyah Journal of Pure Science

In this paper , we present the notion of generalized permuting tri – derivations in lattices and looking for some related properties .


On Colc Topologies, Reyadh Delfy Ali, Omlsad Adgheem Ali Apr 2022

On Colc Topologies, Reyadh Delfy Ali, Omlsad Adgheem Ali

Al-Qadisiyah Journal of Pure Science

The purpose of this work is to continue the study of Co topologies and offer new characteristics of CoLC topologies and examine their relationships with other classes of topological spaces.


Sets And Functions In Terms Of Local Function, Shyamapada Modak, Sk Selim, Md Monirul Islam Apr 2022

Sets And Functions In Terms Of Local Function, Shyamapada Modak, Sk Selim, Md Monirul Islam

Al-Qadisiyah Journal of Pure Science

In this paper, a collection of sets are investigated in such a way that the collection splits in the collection of preopen sets and the collection of b-open sets and also splits in the collection of semi-open sets and the collection of b-open sets. Functions in terms of this sets is a part of this paper and it will be considered that these collection remains invariant under homeomorphic image.


Synthesis And Characterization Of New Benzimidazole-Nitrone Derivatives And Study Of Their Effect As Anti-Fungal, Meaad A. Fadel, Dawood S. Ali, Hanaa K. Mousa Jan 2022

Synthesis And Characterization Of New Benzimidazole-Nitrone Derivatives And Study Of Their Effect As Anti-Fungal, Meaad A. Fadel, Dawood S. Ali, Hanaa K. Mousa

Al-Qadisiyah Journal of Pure Science

New benzimidazole derivatives (benzimidazole-nitrone) were synthesized from the condensation of o-phenylene diamine with p-amino benzaldehyde in the presence of (P-TSOH\EtOH) then the benzimidazole compounds that containing an imine group were oxidized to obtain a nitrone group by used peracetic acid and identified by FT-IR, H1-NMR spectra, and elemental analysis. all compounds applied to the candida and aspergillus fungi gave a different result. The compounds have Ph, OH and N(CH3)2 groups as substituted in synthesized benzimidazole derivatives were showed reactivity as anti-fungal.