Difference sequence spaces by A. K. Gaur, Mursaleen

“…We give a characterization of the matrix classes (Sr(p,Δ),ℓ∞) and (Sr(p,Δ),ℓ1).…”
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The general chain transform and self-reciprocal functions by Cyril Nasim

“…Also a theory of self-reciprocal functions is given, based on these general chain transforms; and relations among various classes of self-reciprocal functions are established.…”
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Properties of solutions of optimization problems for set functions by Slawomir Dorosiewicz

“…A definition of a special class of optimization problems with set functions is given. …”
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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales by Yazhou Tian, A. A. El-Deeb, Fanwei Meng

“…We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions. …”
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On the existence of positive solutions for periodic parabolic sublinear problems by T. Godoy, U. Kaufmann

“…We give necessary and sufficient conditions for the existence of positive solutions for sublinear Dirichlet periodic parabolic problems Lu=g(x,t,u) in Ω×ℝ (where Ω⊂ℝN is a smooth bounded domain) for a wide class of Carathéodory functions g:Ω×ℝ×[0,∞)→ℝ satisfying some integrability and positivity conditions.…”
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Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion by Wentao Zhan, Yuanyuan Jing, Liping Xu, Zhi Li

“…In this paper, we consider the existence and uniqueness of the mild solution for a class of coupled fractional stochastic evolution equations driven by the fractional Brownian motion with the Hurst parameter H∈1/4,1/2. …”
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IR-Improved DGLAP-CS Theory by B. F. L. Ward

“…We show that it is possible to improve the infrared aspects of the standard treatment of the DGLAP-CS evolution theory to take into account a large class of higher-order corrections that significantly improve the precision of the theory for any given level of fixed-order calculation of its respective kernels. …”
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Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…Using functions in some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order dynamic equations with damping on time scales of the form (r(t)(xΔ(t))γ)Δ+p(t)(xΔ(t)γ)+f(t,x(g(t)))=0. …”
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Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments by Burcu Gürbüz, Mehmet Sezer, Coşkun Güler

“…Laguerre collocation method is applied for solving a class of the Fredholm integro-differential equations with functional arguments. …”
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The Generalization Error Bound for the Multiclass Analytical Center Classifier by Zeng Fanzi, Ma Xiaolong

“…This multiclass classifier is formulated as quadratic constrained linear optimization and does not need repeatedly constructing classifiers to separate a single class from all the others. Its generalization error upper bound is proved theoretically. …”
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Invariant f-structures on the flag manifolds SO(n)/SO(2)×SO(n−3) by Vitaly V. Balashchenko, Anna Sakovich

“…We consider manifolds of oriented flags SO(n)/SO(2)×SO(n−3)(n≥4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous Φ-spaces belong to the classes Kill f, NKf, and G1f of generalized Hermitian geometry.…”
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Solvability for a Fractional Order Three-Point Boundary Value System at Resonance by Zigen Ouyang, Hongliang Liu

“…A class of fractional order three-point boundary value system with resonance is investigated in this paper. …”
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Fixed Points for Multivalued Mappings in b-Metric Spaces by Mohamed Jleli, Bessem Samet, Calogero Vetro, Francesca Vetro

“…In 2012, Samet et al. introduced the notion of α-ψ-contractive mapping and gave sufficient conditions for the existence of fixed points for this class of mappings. The purpose of our paper is to study the existence of fixed points for multivalued mappings, under an α-ψ-contractive condition of Ćirić type, in the setting of complete b-metric spaces. …”
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A basis construction for free arrangements between Linial arrangements and Shi arrangements by Meihui Jiang, Ruimei Gao

“…In this paper, we constructed the explicit bases for a class of free arrangements that positioned between the cone of Linial arrangements and Shi arrangements.…”
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Analytic solution of certain second-order functional differential equation by Theeradach Kaewong, Piyapong Niamsup

“…We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.…”
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Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order by Hui-Sheng Ding, Man-Man Liu, Juan J. Nieto

“…In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. …”
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Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales by Yang-Cong Qiu

“…We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. …”
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The Aristocratic Culture of Great Britain in the Globalization Era by T. A. Ivushkina

“…Informational technologies and American mass culture they have brought about have a tremendous influence on the style of life of the class under consideration. The Internet and television have become the most powerful means of breaking traditions and causing changes in all spheres.…”
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A note on Bazilevič functions by S. A. Halim, D. K. Thomas

“…For α>0, let B1(α) be the class of normalized analytic functions defined in the open unit disc D satisfying Re(f(z)/z)α−1f′(z)>0 for z∈D. …”
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On the Linear Complexity of Generalized Cyclotomic Sequences with Odd Period by V. A. Edemskiy

“…The sequences were defined using generalized cyclotomic classes composite modulo. Conditions sufficient for the existence of binary and non-binary sequences with high linear complexity were obtained. …”
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