On a New Space of Double Sequences by Cenap Duyar, Oğuz Oğur

“…We introduce a new space of double sequences related to -absolute convergent double sequence space, combining an Orlicz function and an infinity double matrix. We study some properties of and obtain some inclusion relations involving .…”
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Two Remarks on the Infinite Approximation of a Finite World in Economic Models by Shravan Luckraz

“…While the assumption of infinity is prevalent in almost every area of economics, for two well-known frameworks in decision theory, we note some fundamental differences between the finite versions and their infinite counterpart. …”
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Invariance principle for independent random variables with infinite variance by Mindaugas Juodis

“… A functional central limit theorem for self-normalized adaptive process U−1m,N ζn is considered, where Um,N is a sum of squares of block-sums of size m, as m and the number of blocks N = n/m tend to infinity. …”
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Evolutionary equation of inertial waves in 3-D multiply connected domain with Dirichlet boundary condition by Pavel A. Krutitskii

“…All results hold for interior domains and for exterior domains with appropriate conditions at infinity.…”
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Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density by Nasser-Eddine Tatar

“…We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the relaxation function than the usually used ones. …”
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Asymptotic Behavior of Global Solutions to the Boussinesq Equation in Multidimensions by Yu-Zhu Wang, Qingnian Zhang

“…Moreover, our global solutions can be approximated by the solutions to the corresponding linear equation as time tends to infinity when the dimension of space .…”
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THE PRIMARY MOVER AND THE PROBLEM OF UNIVERSAL UNANIMITY by Vytautas Rimvydas Rimvydas Litvinas

“…Material and form are the specific aspects of Primary mover's activity, Universal components unifiedin actual infinity (this way the Primary mover can be called). …”
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A plane vertical submerged barrier in surface water waves by U. Basu, B. N. Mandal

“…By a simple application of Green's integral theorem, amplitude of the radiated waves at infinity due to a line source in the presence of a fixed vertical plane barrier completely submerged in deep water is obtained.…”
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Multiple Solutions for the Asymptotically Linear Kirchhoff Type Equations on RN by Yu Duan, Chun-Lei Tang

“…We will show that if the nonlinearities are asymptotically linear at infinity and λ>0 is sufficiently small, the Kirchhoff type equations have at least two positive solutions. …”
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Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter by Zhibo Cheng, Yun Xin

“…We investigate a class of variable coefficients singular third-order differential equation with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. By applications of Green’s function and the Krasnoselskii fixed point theorem, sufficient conditions for the existence of positive periodic solutions are established.…”
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The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn by Xiangdong Yang

“…The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of complex continuous functions f defined on Rn with f(t) exp(-α(t)) vanishing at infinity in the uniform norm.…”
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Entire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms by Yongju Yang, Xinguang Zhang

“…We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the entire space. …”
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THE PRIMARY MOVER AND THE PROBLEM OF UNIVERSAL UNANIMITY by Vytautas Rimvydas Rimvydas Litvinas

“…Material and form are the specific aspects of Primary mover's activity, Universal components unifiedin actual infinity (this way the Primary mover can be called). …”
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Optimization of hydrothermal performance in industrial heat sinks with innovative perforated pin fin designs: A numerical approach by Fatema-Tuj Zohora, Mohammad Rejaul Haque, Nabil Mohammad Chowdhury, Mostafa Kamal Fahad, Nowroze Farhan Ifraj

“…Furthermore, the copper-diamond composite, which was placed on an infinity loop-shaped pin fin and had elliptical perforations, yielded a 144 % increase in HTPF when the Re is 44502. …”
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Uniform Energy Decay Rates for the Fuzzy Viscoelastic Model with a Nonlinear Source by Fengyun Zhang

“…Under weak assumptions of the function gt, with the aid of Mathematica software, the computational technique is used to construct the auxiliary functionals and precise priori estimates. As time goes to infinity, we prove that the solution is global and energy decays to zero in two different ways: the exponential form and the polynomial form.…”
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Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations by Mohammad Reza Heidari Tavani

“…It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory.…”
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Global Existence and Asymptotic Behavior of Self-Similar Solutions for the Navier-Stokes-Nernst-Planck-Poisson System in ℝ3 by Jihong Zhao, Chao Deng, Shangbin Cui

“…For small initial data, the global existence, uniqueness, and asymptotic stability as time goes to infinity of self-similar solutions to the Cauchy problem of this system posed in the whole three dimensional space are proved in the function spaces of pseudomeasure type.…”
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The Dirichlet Problem for elliptic equations in unbounded domains of the plane by Paola Cavaliere, Maria Transirico

“…Here the leading coefficients are locally of class VMO and satisfy a suitable condition at infinity.…”
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The Existence of Periodic Solutions of Delay Differential Equations by E+-Conley Index Theory by Huafeng Xiao

“…When the system is 2π-resonant at infinity, by making use a second disturbing of the original functional, some sufficient conditions are obtained to guarantee the existence of periodic solutions to DDEs.…”
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Convex dynamics in Hele-Shaw cells by Dmitri Prokhorov, Alexander Vasil'ev

“…We study geometric properties of a contracting bubble driven by a homogeneous source at infinity and surface tension. The properties that are preserved during the time evolution are under consideration. …”
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