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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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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