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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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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Expansion properties of Whitehead moves on cubic graphs by Grave de Peralta, Laura, Kolpakov, Alexander

“…Here, we prove that the outer-conductance of the graph of graphs tends to zero as the number of vertices tends to infinity. This answers a question of K. Rafi in the negative.…”
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On a non-self adjoint expansion formula by D. Naylor

“…This paper develops a formula of inversion for an integral transform of the kind similar to that associated with the names of Kontorovich and Lebedev except that the kernel involves the Neumann function Yu(kr) and the variable r varies over the infinite interval a≤r<∞ where a>0 The transform is useful in the investigation of functions that satisfy the Helmholtz equation and a condition of radiation at infinity. The formula established is expressed entirely in terms of series expansions and replaces earlier inversion formulas that require the evaluation of contour integrals.…”
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« L’œil du hibou ». Le Flaubert au pluriel de Calvino by Susi Pietri

“…“Several Flaubert(s) in the plural” are thus inscribed throughout Calvino’s theoretical texts over time: nihilist Flaubert; supreme Model of work on form; Master of doubt and skepticism; critic of culture and of the plurality of languages; forerunner of the avant-gardes; paradigm of narrative visibility; invisible “God” of infinity at the heart of the infinitesimal; exemplary witness of the dissolution of knowledge; testamentary executor of the romance of convention; literary ancestor of “knowledge-as-multiplicity”; seeker of the absolute through the encounter with otherness.…”
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Global Existence and Uniform Energy Decay Rates for the Semilinear Parabolic Equation with a Memory Term and Mixed Boundary Condition by Zhong Bo Fang, Liru Qiu

“…Under suitable conditions, we prove the existence and uniqueness of global solutions and the energy functional decaying exponentially or polynomially to zero as the time goes to infinity by introducing brief Lyapunov function and precise priori estimates.…”
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Spectral Analysis for a Wave/Plate Transmission System by Chengqiang Wang

“…Our result reads as follows: the spectrum of the infinitesimal generator of the semigroup associated with the system in question consists merely of an infinite sequence of eigenvalues which are all located in the open left half of the complex plane; the sequence of eigenvalues has the imaginary axis and another vertical line to the left of the imaginary axis as its asymptote lines; the energy of the system under consideration decreases to zero as time goes to infinity.…”
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On the structure of ionizing shock waves in magnetofluiddynamics by A. Aghajani, M. Hesaaraki

“…In this paper, we show that for the above electrical conductivity as well as for limiting cases, that is, when this coefficient is zero ahead of the shock and/or is infinity behind it, ionizing fast, slow, switch-on and switch-off shocks admit structure. …”
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Multiplicity of Solutions for a Class of Fourth-Order Elliptic Problems with Asymptotically Linear Term by Qiong Liu, Dengfeng Lü

“…We study the following fourth-order elliptic equations: Δ2𝑢+𝑎Δ𝑢=𝑓(𝑥,𝑢),𝑥∈Ω,𝑢=Δ𝑢=0,𝑥∈𝜕Ω, where Ω⊂ℝ𝑁 is a bounded domain with smooth boundary 𝜕Ω and 𝑓(𝑥,𝑢) is asymptotically linear with respect to 𝑢 at infinity. Using an equivalent version of Cerami's condition and the symmetric mountain pass lemma, we obtain the existence of multiple solutions for the equations.…”
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Painleve analysis of travelling wave solutions and analysis of energy estimates for a nonlinear Sobolev-type equation by A. I. Aristov

“…In many cases, energy estimates can be used to prove that the solution tends to infinity in finite time, while also providing an estimate for the latter. …”
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Eigenvalue problems for a quasilinear elliptic equation on ℝN by Marilena N. Poulou, Nikolaos M. Stavrakakis

“…We prove the existence of a simple, isolated, positive principal eigenvalue for the quasilinear elliptic equation −Δpu=λg(x)|u|p−2u, x∈ℝN, lim|x|→+∞u(x)=0, where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator and the weight function g(x), being bounded, changes sign and is negative and away from zero at infinity.…”
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Rotating Dilaton Black Strings Coupled to Exponential Nonlinear Electrodynamics by Ahmad Sheykhi

“…When the nonlinear parameter β2 goes to infinity, our results reduce to those of black string solutions in Einstein-Maxwell-dilaton gravity.…”
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Long-Time Decay to the Global Solution of the 2D Dissipative Quasigeostrophic Equation by Jamel Benameur, Mongi Blel

“…We study the behavior at infinity in time of any global solution θ∈C(R+,Ḣ2-2α(R2)) of the surface quasigeostrophic equation with subcritical exponent 2/3≤α≤1. …”
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Mathematical Modeling of Eigenvibrations of the Shallow Shell with an Attached Oscillator by D. M. Korosteleva, S. I. Solov’ev

“…It was established that there exist a sequence of positive eigenvalues of finite multiplicity with a limit point at infinity and the corresponding complete orthonormal system of eigenvectors. …”
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