Results 41 to 50 of about 6,982,939 (355)
Generalizations of degeneracy second main theorem and Schmidt’s subspace theorem [PDF]
Pacific Journal of Mathematics, 2020 In this paper, by introducing the notion of ``\textit{distributive constant}'' of a family of hypersurfaces with respect to a projective variety, we prove a second main theorem in Nevanlinna theory for meromorphic mappings with arbitrary families of ...
S. Quang
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A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient [PDF]
Advanced Nonlinear Studies, 2019 We consider the elliptic equation -Δu=uq|∇u|p{-\Delta u=u^{q}|\nabla u|^{p}} in ℝn{\mathbb{R}^{n}} for any p>2{p>2} and q>0{q>0}. We prove a Liouville-type theorem, which asserts that any positive bounded solution is constant.
Roberta Filippucci, P. Pucci, P. Souplet
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A Framework for Economic Growth with Capital-Embodied Technical Change
Social Science Research Network, 2022 Technological advance is often embodied in capital inputs, like computers, airplanes, and robots. This paper builds a framework where capital inputs advance through (i) increased automation and (ii) increased productivity.
Benjamin F. Jones, Xiaojie Liu
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Growth of solutions of a class of linear fractional differential equations with polynomial coefficients [PDF]
Opuscula Mathematica, 2022 This paper is devoted to the study of the growth of solutions of certain class of linear fractional differential equations with polynomial coefficients involving the Caputo fractional derivatives by using the generalized Wiman-Valiron theorem in the ...
Saada Hamouda, Sofiane Mahmoudi
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A Refinement of Carlson's Theorem [PDF]
arXiv, 2021 Carlson's theorem estimates the growth of an analytic function along the imaginary axis, provided that the function is zero at non-negative integers. We refine this theorem and describe not only the function's growth but also necessary and sufficient conditions in terms of its spectral measure.
arxiv
Topology and Phase Transitions II. Theorem on a necessary relation [PDF]
, 2006 In this second paper, we prove a necessity Theorem about the topological origin of phase transitions. We consider physical systems described by smooth microscopic interaction potentials V_N(q), among N degrees of freedom, and the associated family of ...
Angelani +29 more
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Brake orbits with minimal period estimates of first-order variant subquadratic Hamiltonian systems
Electronic Research Archive, 2022 Under a generalized subquadratic growth condition, brake orbits are guaranteed via the homological link theorem. Moreover, the minimal period estimate is given by Morse index estimate and $ L_{0} $-index estimate.
Xiaofei Zhang, Fanjing Wang
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Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators
Abstract and Applied Analysis, 2012 We introduce summation-integral-type q-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem.
Mei-Ying Ren, Xiao-Ming Zeng
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Advances in Difference Equations, 2017 Fuzzy fractional differential equations (FFDEs) driven by Liu’s process are a type of fractional differential equations. In this paper, we intend to provide and prove a novel existence and uniqueness theorem for the solutions of FFDEs under local ...
SS Mansouri +2 more
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, 2013 We consider processes which have the distribution of standard Brownian motion (in the forward direction of time) starting from random points on the trajectory which accumulate at $-\infty$.
Burdzy, Krzysztof, Scheutzow, Michael
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