Antieigenvalue inequalities in operator theory by Morteza Seddighin

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Operator Theory on Hilbert Spaces. by Ampeire, Anitah

Subjects: “…Operator Theory…”
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Minimal operational theories: classical theories with quantum features by Davide Rolino, Marco Erba, Alessandro Tosini, Paolo Perinotti

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The difference vectors for convex sets and a resolution of the geometry conjecture by Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu

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Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) by S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid

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Variational Analysis of a Dynamic Contact Problem with Wear and Damage Involving Viscoelastic Materials with Long-Term Memory by Ahmed Hamidat, Hakim Bagua, Adel Aissaoui

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General Decay of the Moore–Gibson–Thompson Equation with Viscoelastic Memory of Type II by Salah Boulaaras, Abdelbaki Choucha, Andrea Scapellato

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A Note on the Inverse Problem for a Fractional Parabolic Equation by Abdullah Said Erdogan, Hulya Uygun

“…For a fractional inverse problem with an unknown time-dependent source term, stability estimates are obtained by using operator theory approach. For the approximate solutions of the problem, the stable difference schemes which have first and second orders of accuracy are presented. …”
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A Class of Generalized Differential Operators with Infinitely Many Discontinuous Points by Yurong Li, Jiong Sun, Siqin Yao

“…We define a class of differential operators T which have infinitely many discontinuous points, and investigate the kernel of T in terms of operator theory. It is shown that the solutions of T have exponential behavior, and the dimension of the kernel is given.…”
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Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers by Abdullah Alotaibi

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Infinite System of Differential Equations in Some Spaces by M. Mursaleen, Abdullah Alotaibi

“…These measures of noncompactness have various applications in several areas of analysis, for example, in operator theory, fixed point theory, and in differential and integral equations. …”
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Existence of Solutions for Nonlinear Integral Equations in Tempered Sequence Spaces via Generalized Darbo-Type Theorem by S. A. Mohiuddine, Anupam Das, Abdullah Alotaibi

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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses by Peiguang Wang, Yan Xu

“…By using the linear operator theory, we deal with the difficulty brought by delay term of the neutral system and obtain the conclusion that the solutions of neutral stochastic delay differential equations with impulses converge to the solutions of the corresponding averaged stochastic delay differential equations without impulses in the sense of mean square and in probability. …”
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Some New Notions of Bases for the Range of Operators in Hilbert Spaces by Hessam Hosseinnezhad

“…Next, we construct some new controlled bases with operator theory tools.  Finally, some dual characterizations are given.…”
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A Dynamic Electro-Elastic Viscoplastic Contact Problem with an Internal Variable by Ahmed Hamidat, Hakim Bagua

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Global Existence for Two Singular One-Dimensional Nonlinear Viscoelastic Equations with respect to Distributed Delay Term by Abdelbaki Choucha, Salah Mahmoud Boulaaras, Djamel Ouchenane, Ali Allahem

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Parameter depending almost monotonic functions and their applications to dimensions in metric measure spaces by Natasha Samko

“…In connection with application to various problems of operator theory, we study almost monotonic functions w(x, r) depending on a parameter x which runs a metric measure space X, and the so called index numbers m(w, x), M(w, x) of such functions, and consider some generalized Zygmund, Bary, Lozinskii and Stechkin conditions. …”
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Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition by Salah Mahmoud Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Asma Alharbi, Mohamed Abdalla, Bahri Belkacem Cherif

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Generalized Weighted Statistical Convergence for Double Sequences of Fuzzy Numbers and Associated Korovkin-Type Approximation Theorem by Abdullah Alotaibi

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Certain New Class of Harmonic Functions Involving Quantum Calculus by Mohammad Faisal Khan

“…Here in this paper, we are using the concepts of q-calculus operator theory associated with harmonic functions and define the q-Noor integral operator for harmonic functions f∈H0. …”
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