Hyperboloidal approach to quasinormal modes by Rodrigo Panosso Macedo, Anıl Zenginoğlu

“…Oscillations of black hole spacetimes exhibit divergent behavior near the bifurcation sphere and spatial infinity. In contrast, these oscillations remain regular when evaluated near the event horizon and null infinity. …”
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Elliptic equations in $ \mathbb{R}^2 $ involving supercritical exponential growth by Yony Raúl Santaria Leuyacc

“…In this work, we investigated the existence of nontrivial weak solutions for the equation \begin{document}$ -{\rm div}(w(x)\nabla u) \ = \ f(x,u),\qquad x \in \mathbb{R}^2, $\end{document} where $ w(x) $ is a positive radial weight, the nonlinearity $ f(x, s) $ possesses growth at infinity of the type $ {\rm \exp}\big((\alpha_0+h(|x|)\big)|s|^{2/(1-\beta)}) $, with $ \alpha_0 > 0 $, $ 0 < \beta < 1 $ and $ h $ is a continuous radial function that may be unbounded at infinity. …”
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Optimal Design of Multi-Asset Options by Alejandro Balbás, Beatriz Balbás, Raquel Balbás

“…The combination of stochastic derivative pricing models and downside risk measures often leads to the paradox (risk, return) = (−infinity, +infinity) in a portfolio choice problem. …”
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Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc by R. Khaldi, R. Benzine

“…The measure is concentrated on a complex rectifiable arc and has an infinity of masses in the region exterior to the arc.…”
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Existence of Electrically Charged Structures with Regular Center in Nonlinear Electrodynamics Minimally Coupled to Gravity by Irina Dymnikova, Evgeny Galaktionov, Eduard Tropp

“…The Maxwell weak field limit LF→F as r→∞ requires vanishing electric field at infinity. A field invariant F evolves between two minus zero in the center and at infinity which makes a Lagrangian LF with nonequal asymptotic limits inevitably branching. …”
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n-Digit Benford Converges to Benford by Azar Khosravani, Constantin Rasinariu

“…Using the sum invariance property of Benford random variables, we prove that an n-digit Benford variable converges to a Benford variable as n approaches infinity.…”
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A Voronovskaya-type theorem for a positive linear operator by Alexandra Ciupa

“…We consider a sequence of positive linear operators which approximates continuous functions having exponential growth at infinity. For these operators, we give a Voronovskaya-type theorem…”
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Apophasis, Abnegation, and Liturgy by David W. Fagerberg

“…However, such a liturgical posture depends, in turn, upon abnegation. The infinity of God (apophasis) reveals our nothingness (abnegation), and our nothingness makes us rejoice (liturgy) in God’s infinity. …”
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Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential by Aleksandr Mikhailovich Kholkin

“…A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.…”
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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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Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications by Wenguo Shen

“…We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u, where B is the unit open ball of RN, m∈C(B¯,[0,+∞)) is a radially symmetric weighted function and m(r):=m(x)≢0 on any subinterval of [0,1], λ is a positive parameter, and the nonlinear term f1,f2∈C(B¯×R+3,R+), but f1 is not necessarily differentiable at the origin and infinity with respect to u, where R+=[0,+∞). …”
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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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The Existence of Multiple Periodic Solutions of Nonautonomous Delay Differential Equations by Huafeng Xiao, Bo Zheng

“…We study the multiplicity of periodic solutions of nonautonomous delay differential equations which are asymptotically linear both at zero and at infinity. By making use of a theorem of Benci, some sufficient conditions are obtained to guarantee the existence of multiple periodic solutions.…”
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Existence of Nonoscillatory Solutions of First-Order Neutral Differential Equations by Božena Dorociaková, Anna Najmanová, Rudolf Olach

“…These equations can also support the existence of positive solutions approaching zero at infinity…”
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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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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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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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Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions by Edcarlos D. da Silva

“…We establish existence and multiplicity of solutions for an elliptic system which presents resonance at infinity of Landesman-Lazer type. In order to describe the resonance, we use an eigenvalue problem with indefinite weights. …”
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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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Harmonic Bernoulli strings and random permutations by Eugenius Manstavičius

“…It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. The proof is based upon the invariance principle for random permutations. …”
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