1 1735-4463 ACECR at Tarbiat Modares University 2350 General Oscillation Behavior for an n-Dimensional System of Coupled van der Pol Oscillators with Delays Feng Chunhua b b Department of Mathematics and Computer Science, Alabama State University, Montgomery, USA, 36104 1 9 2026 21 2 1 15 03 07 2022 11 05 2024 In this paper, the oscillatory behavior of the solutions for an n-dimensional system of coupled van der Pol oscillators with delays is investigated. We extend the results in the literature from a mathematical point of view. Some sufficient conditions to guarantee the oscillation of the solutions are provided, and computer simulations are given to support the present criteria.
2336 Special Characterization of Radical of A-Ideals in MV -Modules Saidi Goraghani S. c Borzooei R. A. d c Department of Mathematics, Farhangian University, Tehran, Iran d Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran 1 9 2026 21 2 17 32 08 06 2022 24 02 2023 In [16], we characterized the elements of radical of an ideal in MV -algebras. In this paper, we try to give a characterization for elements of radical of an A-ideal in MV -modules. For this purpose, we first present the definition of the envelope of an A-ideal in MV -modules and then verify the relation between the envelope of A-ideals and the radical of A-ideals in MV -modules. Finally, in a variety of circumstances, we offer a formula for identifying the elements of radical of an A-ideal in MV -modules. 2348 General A New Notions of Quotient Mappings and Networks Through P-I-Convergence Granados Carlos e Rathour Laxmi f e I.E.D. Camilo Torres Tenorio, Barranquilla, Colombia f Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India 1 9 2026 21 2 33 47 25 06 2022 17 06 2024 In this paper, we procure the concepts of P -I-quotient mappings, P -I-cs-networks, P -I-cs′-networks and P -wcs′-networks, and prove some properties of P -I-quotient mappings and P -I-cs′networks, especially P -J-quotient mappings and P -J-cs-networks on an ideal J of N. With these notions, we obtain that if X is a P -J-F U space with a pointcountable P -J-cs′-network, then X is a meta-Lindelof space. 2303 General Euler Catalan Riesz Sequence Spaces their Duals and Matrix Transformations Raj Kuldip g Esi Ayhan h Saini Kavita i g School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320, J;K, India h Malatya Turgut Ozal University, Engineering Faculty, Department of Basic Engineering Sciences (Math.Sect.) 440400, Malatya, Turkey i Department of Mathematics, Chandigarh University, Gharuan, Mohali-140413, Punjab, India 1 9 2026 21 2 49 60 24 03 2022 26 02 2023 In this article, we introduce and study Euler Catalan Riesz sequence spaces of nonabsolute type. We obtain some topological properties and Schauder basis of the newly formed sequence spaces. Moreover, we compute the α-, β-, γ-duals and characterize some matrix classes on this space. Finally, we prove that this sequence spaces are of Banach-Saks type p and has weak point property. 2340 General Gorenstein (n, d)-Injective and (n, d)-Flat Modules Amini Mostafa j j Department of Mathematics, Payame Noor University, Tehran, Iran 1 9 2026 21 2 61 78 15 06 2022 24 04 2023 Let n, d be non-negative integers. We introduce and study the notions of Gorenstein (n,d)-injective and Gorenstein (n,d)-flat modules by using the notion of special finitely presented, (n,d)-injective and (n,d)-flat modules for any n ≥ d+1. Then we investigate the properties of these modules in case that every special finitely presented module with finite projective dimension (resp. flat dimension) is 2-presented. Moreover, as applications over special coherent rings, we investigate the relationships between Gorenstein (n,d)-injective modules and Gorenstein (n,d)-flat modules, then we obtain that the classes GInd (R) and GFnd (Rop) are covering and preenveloping, where GInd (R) and GFnd (Rop) denote the subcategories of Gorenstein (n,d)-injective left R-module and Gorenstein (n,d)-flat right R-modules, respectively. 2332 General Damage Detection in a Pipe Using an Artificial Immune System Optimized by the Clonal Selection Algorithm Feliciani Merizio Igor k Chavarette Fábio Roberto l Mendonça Faria Henrique Antônio m Rathour Laxmi n Narayan Mishra Lakshmi o k Mechanical Engineering Department, UNESP - São Paulo State University, Ilha Solteira, São Paulo, Brasil l Department of Engineering, Physics and Mathematics, Institute of Chemistry, UNESP - São Paulo State University, Araraquara, São Paulo, Brasil m Department of Engineering, Physics and Mathematics, Institute of Chemistry, UNESP - São Paulo State University, Araraquara, São Paulo, Brasil n Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl-796012, Mizoram, India o Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India 1 9 2026 21 2 79 91 24 05 2022 10 10 2023 This work presents an innovative Structural Health Monitoring (SHM) applied to acoustic tubes. This system emerges as an alternative to traditional inspection methodologies in mechanical structures providing high efficiency combined with speed and monetary savings. This system has the ability to assess the remaining life of the structure and assist in decision-making, being able to intervene in situations of critical stress, preserving lives and the long-term functioning of the structure. The objective is the theoretical basis and the detection of failures in pipes by acoustic means. The Clonal Selection Algorithm is based on the continuous learning capacity of the biological immune system, having the ability to learn by repetition and memory. This method requires less training data than is usually used in the literature, with approximately 71% less data. The results presented showed how it is possible and effective to detect failure with a 100% accuracy. 2314 General Generalization of Grüss Inequality on Time Scales Mehmood Faraz p Khan Asif R. Shaikh Muhammad Awais p Department of Mathematics, Samarkand State University, University boulevard 15, Samarkand 140104, Uzbekistan Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan Nabi Bagh Z. M. Govt. Science College, Saddar, Karachi-75270, Pakistan 1 9 2026 21 2 93 103 17 04 2022 05 02 2025 In the present paper we derive a generalized Grüss inequality on time scales and recapture several published results of different authors of various papers and thus unify corresponding discrete and continuous versions. Moreover, we use our obtained consequence to the case of quantum calculus.   2393 General On the PUL-Stieltjes Integral on Smooth Manifolds Flores Greig Bates C. Department of Mathematics, Central Mindanao University, Maramag, Bukidnon, Philippines 1 9 2026 21 2 105 127 17 10 2022 06 04 2024 The notion of the PU integral was first formulated by Kurzweil and Jarnik. It is a Henstock type that utilizes the concept of a partition of unity in it covering system. They mentioned, without much details, that this integration process may be used in the formulation of the Henstock integral in manifolds. In this paper, the above query will be revisit and the Henstock integral of a function defined on a manifold will be presented including some of its fundamental properties. 2331 General On Statistical Compactness Sarkar Susmita Bal Prasenjit Rakshit Debjani Department of Mathematics, ICFAI University Tripura, Kamalghat, West Tripura, INDIA-799210 Department of Mathematics, ICFAI University Tripura, Kamalghat, West Tripura, INDIA-799210 Department of Mathematics, ICFAI University Tripura, Kamalghat, West Tripura, INDIA-799210 1 9 2026 21 2 129 136 19 05 2022 27 10 2023 In the search of a topological property which lies somewhere between compactness and Lindelöfness, we introduce the concept of statistical compactness in this paper. We have also searched for the preservation of statistical compactness under sub-space topology and open continuous surjection. Some finite intersection like properties are also addressed here. 2345 General Some Properties of G**-Autonilpotent Groups Barin Sara Nasrabadi Mohammad Mehdi Department of Mathematics, University of Birjand, Birjand, Iran Department of Mathematics, University of Birjand, Birjand, Iran 1 9 2026 21 2 137 143 24 06 2022 07 05 2024 Let G be a group. In this paper, we first introduce a new series on the subgroups generated by G and IA(G) and define G∗∗-autonilpotency in this series. Then we study some properties of these concepts and their relationships. 2312 General On Rough ϕ − Convergence Choudhury Chiranjib Debnath Shymayal Esi Ayhan Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India Department of Basic Eng. Sci. (Math. Sect), Malatya Turgut Ozal University, 44100, Malatya, Turkey 1 9 2026 21 2 145 153 15 04 2022 02 01 2024 In this paper we introduce rough ϕ-convergence of real numbers as a generalization of rough convergence as well as ϕ-convergence. We study some of its basic properties and relations of the above convergence concept with already known different types of convergence. In 2001, H.X.Phu proved that “The diameter of a r-limit set is not greater than 2r”. We investigate the above result for rough ϕ-convergence by introducing r - ϕ limit set and surprisingly the result comes out to be not true. So our main aim is to find out the different behaviour of the new convergence concept based on r - ϕ limit set. 2347 General Mercer Type Variants of the Jensen−Steffensen Inequality-II Rubab Faiza Khan Asif R. Institute of Business Management, Korangi Creek, Karachi-75190, Sindh, Pakistan Department of Mathematics, University of Karachi, University Road, Karachi-75270, Pakistan 1 9 2026 21 2 155 175 25 06 2022 07 06 2024 Jensen–Mercer’s inequality for weights satisfying conditions as for the reversed Jensen-Steffensen inequality is proved. Several inequalities involving more than one monotonic function with reversed JensenSteffensen conditions are proved. Furthermore, a couple of general companion inequalities related to Mercer’s inequality with reversed JensenSteffensen conditions are presented as well. Applications for the generalization of weighted Ky Fan’s inequality, classical Power Mean, and classical Arithmetic–Geometric–Harmonic Mean inequalities are given as well. 2349 General Some Results on Common Fixed Point Using Expansion Mapping in C*-Algebra Valued Metric Spaces Dhariwal Rishi Kumar Deepak Department of Mathematics, Lovely Professional University, Phagwara, 144411, India Department of Mathematics, Lovely Professional University, Phagwara, 144411, India 1 9 2026 21 2 177 196 03 07 2022 21 10 2023 In the present manuscript, for four weakly compatible mappings in pairs, some theorems using expansion mappings have been established in C∗-algebra valued metric space. Also, we proved the theorems using (E.A.) property and (CLR) property. The proved results are the extension and generalization of several results available in metric spaces. To support the findings, suitable examples are also discussed.   2359 Special Weak ϕ-Ideals and Weak $c^#$-Ideals Goudarzi Leila Department of Mathematics, Faculty of Basic Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran 1 9 2026 21 2 197 203 21 07 2022 05 10 2023 In 2021, Ciloglu and Towers introduced the notion of a weak c-ideal of a Lie algebra, and used it give some characterizations of solvable and supersolvable Lie algebras. In this paper, analogously, we introduce the notions of weak ϕ-ideals and weak c#-ideals, and obtain some new characterizations of solvable and supersolvable Lie algebras by using these notions. 2324 Special On σ-Classes of Modules with Applications Garrido-Jiménez Oscar Alberto Rincón-Mejía Hugo Alberto Facultad de Ciencias, Universidad Nacional Autónoma de México Circuito Exterior, C.U., C.P. 04510, Ciudad de México, México Facultad de Ciencias, Universidad Nacional Autónoma de México Circuito Exterior, C.U., C.P. 04510, Ciudad de México, México 1 9 2026 21 2 205 231 08 05 2022 07 07 2024 In this paper, we introduce some lattices of classes of left R-module relative to a preradical sigma. These lattices are generalizations of the lattices R-TORS, R-tors, R-nat, R-conat, of torsion theories, hereditary torsion theories, natural classes and conatural classes, respectively. We define the lattices σ-(R-TORS), σ-(R-tors), σ-(R-nat), σ-(R-conat), which reduce to the lattices mentioned above, when one takes sigma as the identity. We characterize the equality between these lattices by means of the (σ-HH) condition, which we introduce. We also present some results about σ-retractable rings, σ-Max rings extending results about Mod-retractable rings and Max rings.