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Front Page FilomatPublisher: Faculty of Sciences and Mathematics, NišISSN: 0354-5180Issue: 37_19Date: 2023Journal Homepage

Convergence of certain subsequences of the power sequence in a Banach algebra 6387 - 6394
Dragan S Djordjević, Milica Z Kolundžija and Mehdi Mohammadzadeh Karizaki  
AbstractKeywords: Convergence of power sequences; Group inverse; Functional calculus; Spectral idempotentMSC: 46H05; 47A05; 15A09DOI: 10.2298/FIL2319387D
On completeness of some pro-solvable Lie algebras 6395 - 5415
K K Abdurasulov, B A Omirov, I S Rakhimov and G O Solijanova  
AbstractKeywords: Lie algebra; Potentially nilpotent Lie algebra; Pro-nilpotent (pro-solvable) Lie algebra; Cohomology groupMSC: 17B40; 17B56; 17B65DOI: 10.2298/FIL2319395A
Seperation, irreducibility, Urysohn's lemma and Tietze extension theorem for Cauchy spaces 6417 - 6426
Sümeyye Kula and Muammer Kula  
AbstractKeywords: Topological category; Cauchy space; Cauchy map; Separation; Connectedness; CompactnessMSC: 54B30; 54D10; 54A05; 54A20; 18B99; 18D15DOI: 10.2298/FIL2319417K
Fuzzy pretopogenous structure based on way below relation 6427 - 6441
O R Sayed and O G Hammad  
AbstractKeywords: L-fuzzifying topology; Pretopogenous structure; Way below relationMSC: 54A05; 54A15; 54A40; 03G10DOI: 10.2298/FIL2319427S
Strongly lacunary convergence of order β of difference sequences of fractional order in neutrosophic normed spaces 6443 - 6451
Nazlım Deniz Aral, Hacer Sengül Kandemir and Mikail Et  
AbstractKeywords: Statistical convergence; Lacunary sequence; Fractional difference operator; Metric spaceMSC: 40A05; 40C05; 46A45DOI: 10.2298/FIL2319443A
Remarks on the ring B1 (X) 6453 - 6461
Mohammad Reza Ahmadi Zand and Zahra Khosravi  
AbstractKeywords: Baire one functions; P-space; Minimal ideal; Fixed ideal; B1(X)MSC: 40C05; 46A45 54C40; 13C99DOI: 10.2298/FIL2319453A
Existence and nonexistence results for fifth-order multi-point boundary value problems involving integral boundary condition 6463 - 6486
Nourredine Houari and Faouzi Haddouchi  
AbstractKeywords: Existence; Nonexistence; Monotone and convex positive solution; Fixed point theorem; Boundary value problem; Cone; Boundary conditionsMSC: 34B15; 34B18; 34B10DOI: 10.2298/FIL2319463H
Nonlinear Langevin time-delay differential equations with generalized Caputo fractional derivatives 6487 - 6495
Nguyen Minh Dien  
AbstractKeywords: Langevin time-delay equations; Generalized fractional Caputo derivative; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; Mittag-Leffler functionsMSC: 34A08; 26A33; 34A12DOI: 10.2298/FIL2319487D
The extremal t-uniform unicyclic hypergraph on Estrada index 6497 - 6504
Yongde Feng, Zhongxun Zhu, Yuan Wang and Meng Zhang  
AbstractKeywords: t-uniform hypergraph; Adjacency matrix; Estrada indexMSC: 05C50; 15A18DOI: 10.2298/FIL2319497F
A further generalization of the Catalan numbers and its explicit formula and integral representation 6505 - 6524
Wen-Hui Li, Omran Kouba, Issam Kaddoura and Feng Qi  
AbstractKeywords: Catalan number; Catalan–Qi number; Generating function; Generalization; Explicit formula; Integral representation; Cauchy’s integral formula; Integral formula; Combinatorial identity; Gamma functionMSC: 05A15; 11B75; 11B83; 26A09; 30E20; 33B15; 41A58DOI: 10.2298/FIL2319505L
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