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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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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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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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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An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid by Abdelhalim Ebaid, Hassan A. El-Arabawy, Nader Y. Abd Elazem

“…The main advantage of the present technique is the complete avoidance of using Padé approximants to treat the infinity boundary conditions.…”
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Chaotic dynamics of string around charged black brane with hyperscaling violation by Da-Zhu Ma, Dan Zhang, Guoyang Fu, Jian-Pin Wu

“…The temperature plays the role of driving the closed string to escape to infinity. There is a threshold value z∗ = 2, below which the string is captured by the black brane no matter where the string is placed at the beginning. …”
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Bound chaotic photon orbits in a magnetized Kerr–Newman spacetime by Caiyu Liu, Daqi Yang, Xin Wu

“…There are three bound photon orbits, which neither fall into the black hole nor escape to infinity. They are stable circular orbits, bound quasiperiodic orbits and bound chaotic orbits. …”
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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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Limit properties of rational Bézier curves with mixed weights(具有混合权函数的有理Bézier曲线的极限性质) by 魏琦文(WEI Qiwen), 刘向云(LIU Xiangyun), 吴金明(WU Jinming), 朱春钢(ZHU Chungang)

“…As the weight of a rational Bézier curve approaches infinity, the curve tends towards the corresponding control point. …”
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Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems by Honghua Bin

“…By using variational methods and dual functional, we obtain that the system has a -periodic solution for each positive integer , and solution of system has minimal period as subquadratic growth both at 0 and 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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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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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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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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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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Diagnostic Validity of Clinical Signs Associated with a Large Exophoria at Near by Pilar Cacho-Martínez, Ángel García-Muñoz, María Teresa Ruiz-Cantero

“…Using the cut-offs obtained with ROC analysis, the best diagnostic validity was obtained for the combination of NPC recovery and BAF (S  =  0.77, Sp = 1, LR+ = value tending to infinity, LR− = 0.23) and the combination of NPC break and recovery with BAF (S  =  0.73, Sp = 1, LR+ = tending to infinity, LR− = 0.27). …”
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Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems by Ahmed Abdulhasan Naeif, Hussain Ali Mohamad

“…Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to zero or diverges as t goes to infinity. A special technique is adopted to include all possible cases for all nonoscillatory solutions (NOSs). …”
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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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New Periodic Solutions for the Singular Hamiltonian System by Yi Liao

“…By use of the Cerami-Palais-Smale condition, we generalize the classical Weierstrass minimizing theorem to the singular case by allowing functions which attain infinity at some values. As an application, we study certain singular second-order Hamiltonian systems with strong force potential at the origin and show the existence of new periodic solutions with fixed periods.…”
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