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, 2020
We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation (p(t)|x′|αsgnx′)′+q(t)|x|αsgnx=0,(p(t)\lvert x^{\prime}\rvert^{\alpha}\operatorname{sgn}x^{\prime})^{\prime}+q(% t)\lvert x ...
K. Takaši, J. Manojlovic
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We study the asymptotic behavior of eventually positive solutions of the second-order half-linear differential equation (p(t)|x′|αsgnx′)′+q(t)|x|αsgnx=0,(p(t)\lvert x^{\prime}\rvert^{\alpha}\operatorname{sgn}x^{\prime})^{\prime}+q(% t)\lvert x ...
K. Takaši, J. Manojlovic
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Boundary behavior of k-convex solutions for singular k-Hessian equations
Nonlinear Analysis, 2018We discuss the existence and boundary behavior of k -convex solution to the singular k -Hessian problem S k ( D 2 u ( x ) ) = b ( x ) f ( − u ( x ) ) , x ∈ Ω , u ( x ) = 0 , x ∈ ∂ Ω , where S k ( D 2 u ) ( k ∈ { 1 , 2 , … , n } ) is the k -Hessian ...
Huayuan Sun, M. Feng
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Functional central limit theorems for the dynamic elephant random walk
Statistics & Probability LettersWe prove functional central limit theorems for the dynamic elephant random walk in the $\sqrt{n}$ and $\sqrt{n\log n}$ orders, by applying the martingale convergence theorem and Karamata's theory of regular variation.
Go Tokumitsu
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Kummer test and regular variation
Monatshefte für Mathematik (Print), 2020P. Řehák
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Regular variation: Further Karamata Theory
, 1987N. Bingham, C. Goldie, J. Teugels
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ON AN APPLICATION OF REGULAR VARIATION IN PROBABILITY THEORY
, 1988J. Geluk
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Beurling regular variation, Bloom dichotomy, and the Gołąb–Schinzel functional equation
, 2015A. Ostaszewski
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